main.bib

% Encoding: UTF-8


@String { j-arxiv = {arXiv preprint} }
@String { j-cacm  = {Communications of the ACM} }
@String{j-cam   = {Journal of Computational and Applied Mathematics}}
@String { j-cise  = {Computing in Science \& Engineering} }
@String { j-ctm   = {Combustion Theory and Modelling} }
@String { j-jcp   = {Journal of Computational Physics} }
@String { j-jfm   = {Journal of Fluid Mechanics} }
@String { j-pcbi  = {PLOS Computational Biology} }
@String { j-sinum = {SIAM Journal on Numerical Analysis} }
@String { j-sisc  = {SIAM Journal on Scientific Computing} }
@String { j-toms  = {ACM Transactions on Mathematical Software} }

@InCollection{Shu1998,
  author    = {Shu, Chi-Wang},
  title     = {Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws},
  booktitle = {Advanced Numerical Approximation of Nonlinear Hyperbolic Equations},
  publisher = {Springer Berlin Heidelberg},
  year      = {1998},
  editor    = {Quarteroni, Alfio},
  volume    = {1697},
  series    = {Lecture Notes in Mathematics},
  pages     = {325--432},
  crossref  = {ui},
  doi       = {10.1007/BFb0096355},
  file      = {:papers/1998/Shu - Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws.pdf:PDF},
  keywords  = {WENO, numerics},
  url       = {http://dx.doi.org/10.1007/BFb0096355},
}

@Article{Abderrahmane2011,
  author   = {Abderrahmane, Hamid Ait and Paquet, Frederick and Ng, Hoi Dick},
  title    = {Applying Nonlinear Dynamic Theory to One-Dimensional Pulsating Detonations},
  journal  = {Combustion Theory and Modelling},
  year     = {2011},
  volume   = {15},
  pages    = {205--225},
  doi      = {10.1080/13647830.2010.535566},
  file     = {:papers/2011/Abderrahmane - Applying Nonlinear Dynamic Theory to One-Dimensional Pulsating Detonations.pdf:PDF},
  keywords = {detonation},
}

@Article{Acker2016,
  author   = {F. Acker and R. B. de R. Borges and B. Costa},
  title    = {An Improved {WENO-Z} Scheme},
  journal  = j-jcp,
  year     = {2016},
  volume   = {313},
  pages    = {726--753},
  doi      = {10.1016/j.jcp.2016.01.038},
  file     = {:papers/2016/Acker - An Improved WENO-Z Scheme.pdf:PDF},
  keywords = {numerics, WENO},
}

@Article{Ahmad2001,
  author   = {Ahmad, I. and Berzins, M.},
  title    = {{MOL} Solvers for Hyperbolic {PDEs} with Source Terms},
  journal  = {Mathematics and Computers in Simulation},
  year     = {2001},
  volume   = {56},
  pages    = {115--125},
  issn     = {03784754},
  doi      = {10.1016/S0378-4754(01)00284-1},
  file     = {:papers/2001/Ahmad - MOL solvers for hyperbolic PDEs with source terms.pdf:PDF},
  groups   = {To Read},
  keywords = {numerics, detonation},
}

@Article{Alefeld1995,
  author   = {Alefeld, G. E. and Potra, F. A. and Shi, Yixun},
  title    = {Algorithm 748: {Enclosing} Zeros of Continuous Functions},
  journal  = j-toms,
  year     = {1995},
  volume   = {21},
  pages    = {327--344},
  doi      = {10.1145/210089.210111},
  file     = {:papers/1995/Alefeld - Algorithm 748 Enclosing Zeros of Continuous Functions:PDF},
  keywords = {numerics, nonlinear-equations},
}

@Article{Al-khateeb2013,
  author   = {Al-Khateeb, Ashraf N. and Powers, Joseph M. and Paolucci, Samuel},
  title    = {{Analysis of the spatio-temporal scales of laminar premixed flames near equilibrium}},
  journal  = j-ctm,
  year     = {2013},
  volume   = {17},
  pages    = {76--108},
  issn     = {1364-7830},
  doi      = {10.1080/13647830.2012.724180},
  file     = {:papers/Al-Khateeb, Powers, Paolucci - 2013 - Analysis of the spatio-temporal scales of laminar premixed flames near equilibrium.pdf:PDF},
  keywords = {detailed kinetics,laminar flames,length and time scales,reaction– diffusion,stability},
  url      = {http://www.tandfonline.com/doi/abs/10.1080/13647830.2012.724180},
}

@Article{Alted2010,
  author     = {Alted, Francesc},
  title      = {{Why Modern CPUs Are Starving and What Can Be Done about It}},
  journal    = j-cise,
  year       = {2010},
  volume     = {12},
  pages      = {68--71},
  issn       = {1521-9615},
  doi        = {10.1109/MCSE.2010.51},
  file       = {:papers/Alted - 2010 - Why Modern CPUs Are Starving and What Can Be Done about It.pdf:PDF},
  keywords   = {HPC, scicomp},
  publisher  = {AIP Publishing},
  readstatus = {read},
  url        = {http://scitation.aip.org/content/aip/journal/cise/12/2/10.1109/MCSE.2010.51},
}

@Article{Amdahl1967,
  Title                    = {{Validity of the single processor approach to achieving large scale computing capabilities}},
  Author                   = {Amdahl, GM},
  Journal                  = {Proceedings of the April 18-20, 1967, spring joint \ldots},
  Year                     = {1967},
  File                     = {:papers/Amdahl - 1967 - Validity of the single processor approach to achieving large scale computing capabilities.pdf:PDF;:papers/Amdahl - 1967 - Validity of the single processor approach to achieving large scale computing capabilities(2).pdf:PDF},
  Keywords                 = {parallel},
  URL                      = {http://dl.acm.org/citation.cfm?id=1465560}
}

@InProceedings{Andrews2006,
  Title                    = {Tool Support for Randomized Unit Testing},
  Author                   = {Andrews, James H. and Haldar, Susmita and Lei, Yong and Li, Felix Chun Hang},
  Booktitle                = {Proceedings of the 1st international workshop on Random testing - RT '06},
  Year                     = {2006},
  Address                  = {New York, New York, USA},
  Organization             = {University of Western Ontario},
  Pages                    = {36--45},
  Publisher                = {ACM Press},
  DOI                      = {10.1145/1145735.1145741},
  File                     = {:papers/2006/Andrews - Tool Support for Randomized Unit Testing.pdf:PDF},
  ISBN                     = {159593457X},
  Keywords                 = {scicomp,testing}
}

@Article{Arandiga2011,
  author   = {Ar\`{a}ndiga, F. and Baeza, A. and Belda, A. M. and Mulet, P.},
  title    = {Analysis of {WENO} Schemes for Full and Global Accuracy},
  journal  = j-sinum,
  year     = {2011},
  volume   = {49},
  pages    = {893--915},
  issn     = {0036-1429},
  doi      = {10.1137/100791579},
  file     = {:papers/Arandiga et al. - 2011 - Analysis of WENO Schemes for Full and Global Accuracy.pdf:PDF},
  keywords = {WENO,numerics},
  url      = {http://epubs.siam.org/doi/abs/10.1137/100791579},
}

@Article{Ascher2012,
  author   = {Ascher, Uri M.},
  title    = {Surprising Computations},
  journal  = {Applied Numerical Mathematics},
  year     = {2012},
  volume   = {62},
  pages    = {1276--1288},
  issn     = {0168-9274},
  doi      = {10.1016/j.apnum.2012.06.025},
  file     = {:papers/2012/Ascher - Surprising Computations.pdf:PDF},
  keywords = {numerics, stability},
}

@Article{Aslam2003,
  author    = {Aslam, Tariq D.},
  title     = {{A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws II: Systems of Equations}},
  journal   = {Journal of Scientific Computing},
  year      = {2003},
  volume    = {19},
  pages     = {37--62},
  issn      = {1573-7691},
  doi       = {10.1023/A:1025387405273},
  file      = {:papers/Aslam - 2003 - A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws II Systems of Equations.pdf:PDF},
  keywords  = {numerics},
  language  = {en},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
  url       = {http://link.springer.com/article/10.1023/A:1025387405273},
}

@Article{Aslam2008,
  Title                    = {{Shock-Fitted Calculations of Unsteady Detonation in Ozone}},
  Author                   = {Aslam, Tariq D. and Powers, Joseph M.},
  Journal                  = {46th AIAA Aerospace Sciences Meeting and Exhibit},
  Year                     = {2008},
  DOI                      = {10.2514/6.2008-1036},
  File                     = {:papers//Aslam, Powers - 2008 - Shock-Fitted Calculations of Unsteady Detonation in Ozone.pdf:PDF},
  Keywords                 = {detonation,numerics,ozone},
  URL                      = {http://arc.aiaa.org/doi/pdf/10.2514/6.2008-1036}
}

@Article{Aslam2009,
  author   = {Aslam, Tariq D. and Powers, Joseph M.},
  title    = {The Dynamics of Unsteady Detonation in Ozone},
  journal  = {47th AIAA Aerospace Sciences Meeting},
  year     = {2009},
  pages    = {5--8},
  doi      = {10.2514/6.2009-632},
  file     = {:papers/2009/Aslam - The Dynamics of Unsteady Detonation in Ozone.pdf:PDF},
  keywords = {detonation},
}

@Misc{Aslam2009HighAccuracy,
  author       = {Aslam, Tariq D. and Powers, Joseph M.},
  title        = {High Accuracy Shock-Fitted Computation of Unsteady Detonation with Detailed Kinetics},
  howpublished = {\url{http://www3.nd.edu/~powers/paper.list/columbus.tariq.slides.pdf}},
  year         = {2009},
  file         = {:papers/2009/Aslam - High Accuracy Shock-Fitted Computation of Unsteady Detonation with Detailed Kinetics.pdf:PDF},
  keywords     = {detonation},
}

@PhdThesis{Austin2003,
  Title                    = {The Role of Instability in Gaseous Detonation},
  Author                   = {Austin, Joanna Maria},
  School                   = {California Institute of Technology},
  Year                     = {2003},
  Type                     = {PhD},
  File                     = {:papers/2003/Austin - The Role of Instability in Gaseous Detonation.pdf:PDF},
  Keywords                 = {detonation},
  URL                      = {http://thesis.library.caltech.edu/2234/}
}

@Article{Azarenok2005,
  author   = {Azarenok, Boris N. and Tang, Tao},
  title    = {{Second-order Godunov-type scheme for reactive flow calculations on moving meshes}},
  journal  = j-jcp,
  year     = {2005},
  volume   = {206},
  pages    = {48--80},
  issn     = {00219991},
  doi      = {10.1016/j.jcp.2004.12.002},
  file     = {:papers/Azarenok, Tang - 2005 - Second-order Godunov-type scheme for reactive flow calculations on moving meshes.pdf:pdf},
  keywords = {detonation,numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999104004930},
}

@Article{Balsara2000,
  author   = {Balsara, Dinshaw S. and Shu, Chi-Wang},
  title    = {Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy},
  journal  = {Journal of Computational Physics},
  year     = {2000},
  volume   = {160},
  pages    = {405--452},
  issn     = {00219991},
  doi      = {10.1006/jcph.2000.6443},
  file     = {:papers/2000/Balsara - Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy.pdf:PDF},
  keywords = {WENO, gasdynamics, numerics},
}

@Article{Bangerth2013,
  author   = {Bangerth, Wolfgang and Heister, Timo},
  title    = {What Makes Computational Open Source Software Libraries Successful?},
  journal  = {Computational Science \& Discovery},
  year     = {2013},
  volume   = {6},
  pages    = {015010},
  doi      = {10.1088/1749-4699/6/1/015010},
  file     = {:papers/2013/Bangerth - What Makes Computational Open Source Software Libraries Successful.pdf:PDF},
  keywords = {scicomp, programming},
}

@Article{Barker2010,
  author        = {Blake Barker and Kevin Zumbrun},
  title         = {A Numerical Stability Investigation of Strong {ZND} Detonations for {Majda's} Model},
  journal       = j-arxiv,
  year          = {2010},
  archiveprefix = {arXiv},
  eprint        = {1011.1561},
  file          = {:papers/2010/Barker - A Numerical Stability Investigation of Strong ZND Detonations for Majda's Model.pdf:PDF},
  keywords      = {detonation, stability, stability, Evans-function},
  primaryclass  = {math.NA},
  url           = {http://arxiv.org/abs/1011.1561},
}

@Article{Barnes2010,
  author     = {Barnes, Nick},
  title      = {Publish Your Computer Code: {It} Is Good Enough},
  journal    = {Nature},
  year       = {2010},
  volume     = {467},
  pages      = {753},
  doi        = {10.1038/467753a},
  file       = {:papers/2010/Barnes - Publish Your Computer Code It Is Good Enough.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  readstatus = {read},
}

@Article{Barthel1966,
  author    = {Barthel, Harold O. and Strehlow, Roger A.},
  title     = {{Wave Propagation in One-Dimensional Reactive Flows}},
  journal   = {Physics of Fluids},
  year      = {1966},
  volume    = {9},
  pages     = {1896--1907},
  issn      = {00319171},
  doi       = {10.1063/1.1761541},
  file      = {:papers/1966/Barthel - Wave Propagation in One-Dimensional Reactive Flows.pdf:PDF},
  keywords  = {detonation,stability},
  publisher = {AIP Publishing},
  url       = {http://scitation.aip.org/content/aip/journal/pof1/9/10/10.1063/1.1761541},
}

@Article{Basili2008,
  author   = {Basili, Victor R and Carver, Jeffrey C and Cruzes, Daniela and Hochstein, Lorin M and Hollingsworth, Jeffrey K and Shull, Forrest and Zelkowitz, Marvin V},
  title    = {{Understanding the High-Performance-Computing Community: A Software Engineer's Perspective}},
  journal  = {IEEE Software},
  year     = {2008},
  volume   = {25},
  pages    = {29--36},
  issn     = {0740-7459},
  doi      = {10.1109/MS.2008.103},
  file     = {:papers/Basili et al. - 2008 - Understanding the High-Performance-Computing Community A Software Engineer's Perspective.pdf:PDF},
  keywords = {HPC,scicomp},
  url      = {http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=4548405},
}

@Article{Baxter2006,
  author     = {Baxter, Susan M. and Day, Steven W. and Fetrow, Jacquelyn S. and Reisinger, Stephanie J.},
  title      = {Scientific Software Development Is Not an Oxymoron},
  journal    = j-pcbi,
  year       = {2006},
  volume     = {2},
  pages      = {e87},
  doi        = {10.1371/journal.pcbi.0020087},
  file       = {:papers/2006/Baxter - Scientific Software Development Is Not an Oxymoron.PDF:PDF},
  keywords   = {scicomp, reproducibility},
  readstatus = {read},
}

@Article{Bayliss1995,
  author   = {Bayliss, Alvin and Class, Andreas and Matkowsky, Bernard J.},
  title    = {Roundoff Error in Computing Derivatives Using the {Chebyshev} Differentiation Matrix},
  journal  = {Journal of Computational Physics},
  year     = {1995},
  volume   = {116},
  pages    = {380--383},
  issn     = {0021-9991},
  doi      = {10.1006/jcph.1995.1036},
  file     = {:papers/1995/Bayliss - Roundoff Error in Computing Derivatives Using the Chebyshev Differentiation Matrix.pdf:PDF},
  keywords = {numerics, spectral-methods},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999185710364},
}

@Article{Bayliss1982,
  author   = {Bayliss, Alvin and Turkel, Eli},
  title    = {Outflow Boundary Conditions for Fluid Dynamics},
  journal  = {{SIAM} Journal on Scientific and Statistical Computing},
  year     = {1982},
  volume   = {3},
  pages    = {250--259},
  doi      = {10.1137/0903016},
  eprint   = {http://dx.doi.org/10.1137/0903016},
  file     = {:papers/1982/Bayliss - Outflow Boundary Conditions for Fluid Dynamics.pdf:PDF},
  keywords = {numerics},
  url      = { 
 http://dx.doi.org/10.1137/0903016
 
},
}

@Article{Bdzil2001,
  author   = {Bdzil, J. B. and Stewart, D. S. and Jackson, T. L.},
  title    = {Program Burn Algorithms Based on Detonation Shock Dynamics: {D}iscrete Approximations of Detonation Flows with Discontinuous Front Models},
  journal  = {Journal of Computational Physics},
  year     = {2001},
  volume   = {174},
  pages    = {870--902},
  issn     = {00219991},
  doi      = {10.1006/jcph.2001.6942},
  file     = {:papers/2001/Bdzil - Program Burn Algorithms Based on Detonation Shock Dynamics Discrete Approximations of Detonation Flows with Discontinuous Front Models.pdf:PDF},
  keywords = {detonation},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999101969426},
}

@Article{Behnel2011,
  author   = {Behnel, Stefan and Bradshaw, Robert and Citro, Craig and Dalcin, Lisandro and Seljebotn, Dag Sverre and Smith, Kurt},
  title    = {Cython: {The} Best of Both Worlds},
  journal  = j-cise,
  year     = {2011},
  volume   = {13},
  pages    = {31--39},
  issn     = {1521-9615},
  doi      = {10.1109/MCSE.2010.118},
  file     = {:papers/2011/Behnel - Cython The Best of Both Worlds.pdf:PDF},
  keywords = {scicomp, python},
}

@Article{Bellerive2014,
  Title                    = {A Nonlinear Evolution Equation for Pulsating Detonations Using {Fickett ’s} Model with Chain Branching Kinetics},
  Author                   = {Bellerive, Andre and Radulescu, Matei I.},
  Journal                  = j-arxiv,
  Year                     = {2014},
  Archiveprefix            = {arXiv},
  Eprint                   = {arXiv:1407.4856},
  File                     = {:papers/2014/Bellerive - A nonlinear evolution equation for pulsating detonations using Fickett ’ s model with chain branching kinetics:PDF},
  Keywords                 = {detonation},
  Primaryclass             = {physics.flu-dyn},
  URL                      = {http://arxiv.org/abs/1407.4856}
}

@Article{Berger1989,
  author   = {Berger, M. J. and Colella, Phillip},
  title    = {Local Adaptive Mesh Refinement for Shock Hydrodynamics},
  journal  = j-jcp,
  year     = {1989},
  volume   = {82},
  pages    = {64--84},
  doi      = {10.1016/0021-9991(89)90035-1},
  file     = {:papers/1989/Berger - Local Adaptive Mesh Refinement for Shock Hydrodynamics.pdf:PDF},
  keywords = {amr, numerics, gasdynamics},
}

@Article{Bermudez1994,
  author   = {Bermudez, Alfredo and Vazquez, Ma Elena},
  title    = {Upwind methods for hyperbolic conservation laws with source terms},
  journal  = {Computers \& Fluids},
  year     = {1994},
  volume   = {23},
  pages    = {1049--1071},
  issn     = {00457930},
  doi      = {10.1016/0045-7930(94)90004-3},
  file     = {:papers/Bermudez, Vazquez - 1994 - Upwind methods for hyperbolic conservation laws with source terms.pdf:pdf},
  keywords = {numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/0045793094900043},
}

@Article{Berzins1996,
  author   = {Berzins, M. and Ware, J. M.},
  title    = {{Solving convection and convection-reaction problems using the method of lines}},
  journal  = {Applied Numerical Mathematics},
  year     = {1996},
  volume   = {20},
  pages    = {83--99},
  issn     = {01689274},
  doi      = {10.1016/0168-9274(95)00118-2},
  file     = {:papers/Berzins, Ware - 1996 - Solving convection and convection-reaction problems using the method of lines.pdf:pdf},
  keywords = {numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/0168927495001182},
}

@Article{Betcke2013,
  author   = {Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schr\"{o}der, Christian and Tisseur, Fran\c{c}oise},
  title    = {{NLEVP}: {A} Collection of Nonlinear Eigenvalue Problems},
  journal  = j-toms,
  year     = {2013},
  volume   = {39},
  pages    = {7:1--7:28},
  doi      = {10.1145/2427023.2427024},
  file     = {:papers/2013/Betcke - NLEVP A Collection of Nonlinear Eigenvalue Problems.pdf:PDF},
  keywords = {numerics, linear-algebra},
}

@Article{PandolfiBianchi2011,
  author    = {Bianchi, M. Pandolfi and Soares, A. J.},
  title     = {Modelling and solutions to the linear stability of a detonation wave in the kinetic frame},
  journal   = {Journal of Difference Equations and Applications},
  year      = {2011},
  volume    = {17},
  pages     = {1169--1184},
  issn      = {1563-5120},
  doi       = {10.1080/10236190902960065},
  file      = {:papers/2011/Bianchi - Modelling and solutions to the linear stability of a detonation wave in the kinetic frame.pdf:PDF},
  keywords  = {detonation},
  publisher = {Informa UK Limited},
  url       = {http://dx.doi.org/10.1080/10236190902960065},
}

@Article{Bientinesi2005a,
  author     = {Bientinesi, Paolo and Gunnels, John A. and Myers, Margaret E. and Quintana-Ort\'{\i}, Enrique S. and {v}an~{d}e~{G}eijn, Robert A.},
  title      = {The science of deriving dense linear algebra algorithms},
  journal    = {ACM Transactions on Mathematical Software},
  year       = {2005},
  volume     = {31},
  pages      = {1--26},
  issn       = {0098-3500},
  acmid      = {1055532},
  address    = {New York, NY, USA},
  doi        = {10.1145/1055531.1055532},
  file       = {:papers/2005/Bientinesi - The science of deriving dense linear algebra algorithms.pdf:PDF},
  issue_date = {March 2005},
  keywords   = {Formal derivation, high-performance computing, libraries, linear-algebra},
  numpages   = {26},
  publisher  = {ACM},
  url        = {http://doi.acm.org/10.1145/1055531.1055532},
}

@Article{Bientinesi2005,
  author     = {Bientinesi, Paolo and Quintana-Ort\'{\i}, Enrique S. and Geijn, Robert A. van de},
  title      = {Representing Linear Algebra Algorithms in Code: The {FLAME} Application Program Interfaces},
  journal    = {ACM Transactions on Mathematical Software},
  year       = {2005},
  volume     = {31},
  pages      = {27--59},
  issn       = {0098-3500},
  acmid      = {1055533},
  address    = {New York, NY, USA},
  doi        = {10.1145/1055531.1055533},
  file       = {:papers/2005/Bientinesi - Representing Linear Algebra Algorithms in Code The FLAME Application Program Interfaces.pdf:PDF},
  issue_date = {March 2005},
  keywords   = {Application program interfaces, formal derivation, high-performance libraries, linear algebra},
  numpages   = {33},
  publisher  = {ACM},
  url        = {http://doi.acm.org/10.1145/1055531.1055533},
}

@Book{Bjoerck2015,
  Title                    = {Numerical Methods in Matrix Computations},
  Author                   = {Bj{\"o}rck, {\aA}ke},
  Publisher                = {Springer International Publishing},
  Year                     = {2015},
  Series                   = {Texts in Applied Mathematics},
  Volume                   = {59},
  DOI                      = {10.1007/978-3-319-05089-8},
  ISBN                     = {http://id.crossref.org/isbn/978-3-319-05089-8},
  ISSN                     = {2196-9949},
  Journal                  = {Texts in Applied Mathematics},
  Keywords                 = {numerics, linear-algebra},
  URL                      = {http://dx.doi.org/10.1007/978-3-319-05089-8}
}

@Article{Bjoerhus1995,
  author   = {Morten Bjørhus},
  title    = {The {ODE} Formulation of Hyperbolic {PDE}s Discretized by the Spectral Collocation Method},
  journal  = {{SIAM} Journal on Scientific Computing},
  year     = {1995},
  volume   = {16},
  pages    = {542--557},
  doi      = {10.1137/0916035},
  eprint   = {http://dx.doi.org/10.1137/0916035},
  file     = {:papers/1995/Bjørhus - The ODE Formulation of Hyperbolic PDEs Discretized by the Spectral Collocation Method.pdf:PDF},
  keywords = {numerics, spectral-methods},
  url      = {http://dx.doi.org/10.1137/0916035},
}

@Article{Boivin2013,
  author    = {Boivin, Pierre and S\'{a}nchez, Antonio L. and Williams, Forman a.},
  title     = {{Four-step and three-step systematically reduced chemistry for wide-range H2–air combustion problems}},
  journal   = {Combustion and Flame},
  year      = {2013},
  volume    = {160},
  pages     = {76--82},
  issn      = {00102180},
  doi       = {10.1016/j.combustflame.2012.09.014},
  file      = {:papers/Boivin, S\'{a}nchez, Williams - 2013 - Four-step and three-step systematically reduced chemistry for wide-range H2–air combustion problem.pdf:pdf},
  publisher = {The Combustion Institute.},
  url       = {http://linkinghub.elsevier.com/retrieve/pii/S0010218012002751},
}

@Article{Borges2008,
  author   = {Borges, Rafael and Carmona, Monique and Costa, Bruno and Don, Wai Sun},
  title    = {{An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws}},
  journal  = {Journal of Computational Physics},
  year     = {2008},
  volume   = {227},
  pages    = {3191--3211},
  issn     = {00219991},
  doi      = {10.1016/j.jcp.2007.11.038},
  file     = {:papers/2008/Borges - An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws.pdf:PDF},
  keywords = {65p30,77axx,WENO,numerics},
}

@Article{Bourlioux1991,
  author   = {Bourlioux, Anne and Majda, Andrew J. and Roytburd, Victor},
  title    = {Theoretical and Numerical Structure for Unstable One-Dimensional Detonations},
  journal  = {SIAM Journal on Applied Mathematics},
  year     = {1991},
  volume   = {51},
  pages    = {303--343},
  doi      = {10.1137/0151016},
  file     = {:papers/1991/Bourlioux - Theoretical and Numerical Structure for Unstable One-Dimensional Detonations.pdf:PDF},
  keywords = {detonation, stability, numerics, amr},
}

@Article{Brinkley1948,
  author   = {Brinkley, Jr., Stuart R. and Kirkwood, John G.},
  title    = {On the Condition of Stability of the Plane Detonation Wave},
  journal  = {Symposium on Combustion and Flame, and Explosion Phenomena},
  year     = {1948},
  volume   = {3},
  pages    = {586--590},
  issn     = {1062-2896},
  note     = {Third Symposium on Combustion and Flame and Explosion Phenomena},
  doi      = {http://dx.doi.org/10.1016/S1062-2896(49)80079-1},
  file     = {:papers/1948/Brinkley - On the condition of stability of the plane detonation wave.pdf:PDF},
  keywords = {detonation},
  url      = {http://www.sciencedirect.com/science/article/pii/S1062289649800791},
}

@Article{Brown2015,
  author     = {Brown, Jed and Knepley, Matthew G. and Smith, Barry F.},
  title      = {Run-Time Extensibility and Librarization of Simulation Software},
  journal    = j-cise,
  year       = {2015},
  volume     = {17},
  pages      = {38--45},
  doi        = {10.1109/MCSE.2014.95},
  file       = {:papers/2015/Brown - Run-Time Extensibility and Librarization of Simulation Software.pdf:PDF},
  keywords   = {scicomp},
  readstatus = {read},
}

@Article{Brown1989,
  author   = {Brown, Peter N. and Byrne, George D. and Hindmarsh, Alan C.},
  title    = {{VODE}: {A} Variable-Coefficient {ODE} Solver},
  journal  = {SIAM Journal on Scientific and Statistical Computing},
  year     = {1989},
  volume   = {10},
  pages    = {1038--1051},
  issn     = {0196-5204},
  doi      = {10.1137/0910062},
  file     = {:papers/1989/Brown - VODE A Variable-Coefficient ODE Solver, report.pdf:PDF;:papers/1989/Brown - VODE A Variable-Coefficient ODE Solver.pdf:PDF},
  keywords = {ODE, numerics},
}

@Misc{browne2005detailed,
  Title                    = {Detailed and Simplified Chemical Reaction Mechanisms for Detonation Simulation},
  Author                   = {Browne, S. and Liang, Z. and Shepherd, J. E.},
  Year                     = {2005},
  File                     = {:papers/2005/Browne - Detailed and Simplified Chemical Reaction Mechanisms for Detonation Simulation.pdf:PDF},
  Publisher                = {Fall}
}

@TechReport{Browne2008,
  author      = {Browne, S. and Ziegler, J. and Shepherd, J. E.},
  title       = {Numerical Solution Methods for Shock and Detonation Jump Conditions},
  institution = {California Institute of Technology},
  year        = {2008},
  address     = {Pasadena, California},
  booktitle   = {Energy Conservation},
  file        = {:papers/2008/Browne - Numerical Solution Methods for Shock and Detonation Jump Conditions.pdf:PDF},
  keywords    = {detonation},
  url         = {http://www.galcit.caltech.edu/~stbrowne/Papers/stanjan.pdf},
}

@Article{Browne2007,
  Title                    = {Linear Stability of Detonations with Reversible Chemical Reactions},
  Author                   = {Browne, S. T. and Shepherd, J. E.},
  Journal                  = {Proceedings of the Western States Section/Combustion Institute, Sandia National Laboratories, Livermore},
  Year                     = {2007},
  File                     = {:papers/2007/Browne - Linear Stability of Detonations with Reversible Chemical Reactions.pdf:PDF},
  Keywords                 = {detonation, stability}
}

@Article{Bryson2006,
  author   = {Bryson, Steve and Levy, Doron},
  title    = {Mapped \{WENO\} and Weighted Power \{ENO\} Reconstructions in Semi-discrete Central Schemes for Hamilton–Jacobi Equations},
  journal  = {Applied Numerical Mathematics},
  year     = {2006},
  volume   = {56},
  pages    = {1211--1224},
  issn     = {0168-9274},
  doi      = {10.1016/j.apnum.2006.03.005},
  file     = {:papers/2006/Bryson - Mapped WENO and Weighted Power ENO Reconstructions in Semi-discrete Central Schemes for Hamilton–Jacobi Equations.pdf:PDF},
  keywords = {numerics, WENO, WENOHJ, Hamilton--Jacobi},
}

@TechReport{Buckheit1995AboutWaveLab,
  author      = {J. Buckheit and S. Chen and D. Donoho and I. Johnstone and J. Scargle},
  title       = {About {WaveLab}},
  institution = {Department of Statistics, Stanford University},
  year        = {1995},
  file        = {:papers/1995/Buckheit - About WaveLab.pdf:PDF},
  keywords    = {scicomp, reproducibility},
  url         = {https://statistics.stanford.edu/research/about-wavelab},
}

@TechReport{Buckheit1995Reproducible,
  author       = {Buckheit, J. B. and Donoho, D. L.},
  title        = {{WaveLab} and Reproducible Research},
  institution  = {Department of Statistics, Stanford University},
  year         = {1995},
  file         = {:papers/1995/Buckheit - WaveLab and Reproducible Research.pdf:PDF},
  howpublished = {\url{http://www-stat.stanford.edu/~donoho/Reports/1995/wavelab.pdf}},
  keywords     = {scicomp, reproducibility},
  url          = {https://statistics.stanford.edu/research/wavelab-and-reproducible-research},
}

@Article{Buckmaster1988,
  author   = {Buckmaster, J. and Neves, J.},
  title    = {One-Dimensional Detonation Stability: {The} Spectrum for Infinite Activation Energy},
  journal  = {Physics of Fluids},
  year     = {1988},
  volume   = {31},
  pages    = {3571--3576},
  doi      = {10.1063/1.866874},
  file     = {:papers/1988/Buckmaster - One‐Dimensional Detonation Stability The Spectrum for Infinite Activation Energy.pdf:PDF},
  keywords = {detonation, stability, asymptotics},
}

@TechReport{Burkat2005ThirdMillenium,
  Title                    = {{Third Millennium Ideal Gas and Condensed Phase Thermochemical Database for Combustion with Updates from Active Thermochemical Tables}},
  Author                   = {Burcat, Alexander and Ruscic, Branko},
  Institution              = {Technion – Israel Institute of Technology, and Argonne National Laboratory},
  Year                     = {2005},
  File                     = {:papers/Burcat, Ruscic - 2005 - Third Millennium Ideal Gas and Condensed Phase Thermochemical Database for Combustion with Updates from Active T.pdf:pdf},
  Keywords                 = {thermodynamics},
  URL                      = {ftp://ftp.technion.ac.il/pub/supported/aetdd/thermodynamics}
}

@Article{Burke2012,
  author    = {Burke, Michael P. and Chaos, Marcos and Ju, Yiguang and Dryer, Frederick L. and Klippenstein, Stephen J.},
  title     = {Comprehensive {H2/O2} Kinetic Model for High-Pressure Combustion},
  journal   = {International Journal of Chemical Kinetics},
  year      = {2012},
  volume    = {44},
  pages     = {444--474},
  issn      = {1097-4601},
  doi       = {10.1002/kin.20603},
  file      = {:papers/2012/Burke - Comprehensive H2-O2 Kinetic Model for High-Pressure Combustion.pdf:PDF},
  keywords  = {kinetics, hydrogen-oxygen},
  publisher = {Wiley Subscription Services, Inc., A Wiley Company},
}

@Article{Byrne1993,
  author  = {Byrne, George D. and Dean, Anthony M.},
  title   = {{The numerical solution of some kinetics models with VODE and CHEMKIN II}},
  journal = {Computers \& Chemistry},
  year    = {1993},
  volume  = {17},
  pages   = {297--302},
  issn    = {00978485},
  doi     = {10.1016/0097-8485(93)80011-2},
  file    = {:papers/Byrne, Dean - 1993 - The numerical solution of some kinetics models with VODE and CHEMKIN II.pdf:pdf},
  url     = {http://dx.doi.org/10.1016/0097-8485(93)80011-2},
}

@Misc{Byrne2013,
  author       = {Byrne, G. D. and Thompson, S.},
  title        = {Error Control Matters},
  howpublished = {\url{http://www.radford.edu/~thompson/vodef90web/ErrorControlMatters.pdf}},
  year         = {2013},
  file         = {:papers/2013/Byrne - Error Control Matters.pdf:PDF},
  keywords     = {numerics, ODE},
  url          = {http://www.radford.edu/~thompson/vodef90web/ErrorControlMatters.pdf},
}

@Article{Cai1996,
  author   = {Cai, W and Oh, W and Zhu, Y},
  title    = {Direct Numerical Calculations of a Neutral Stability Curve for One-Dimensional Detonations},
  journal  = {SIAM Journal on Scientific Computing},
  year     = {1996},
  volume   = {17},
  pages    = {814--829},
  doi      = {10.1137/0917053},
  file     = {:papers/1996/Cai - Direct Numerical Calculations of a Neutral Stability Curve for One-Dimensional Detonations.pdf:PDF},
  keywords = {detonation, numerics, spectral-methods},
}

@Article{Cai1993,
  author   = {Cai, Wei and Shu, Chi-Wang},
  title    = {Uniform High-Order Spectral Methods for One- and Two-Dimensional {Euler} Equations},
  journal  = {Journal of Computational Physics},
  year     = {1993},
  volume   = {104},
  pages    = {427--443},
  issn     = {0021-9991},
  doi      = {10.1006/jcph.1993.1041},
  file     = {:papers/1993/Cai - Uniform High-Order Spectral Methods for One- and Two-Dimensional Euler Equations .pdf:PDF},
  keywords = {numerics, spectral-methods},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999183710417},
}

@Article{Cai2006,
  Title                    = {Numerical Solution of Partial Differential Equations on Parallel Computers},
  Author                   = {Cai, Xing and Langtangen, Hans Petter},
  Journal                  = {Lecture Notes in Computational Science and Engineering},
  Year                     = {2006},
  Pages                    = {295--325},
  Volume                   = {51},
  Address                  = {Berlin/Heidelberg},
  DOI                      = {10.1007/3-540-31619-1},
  Editor                   = {Bruaset, Are Magnus and Tveito, Aslak},
  File                     = {:papers/2006/Cai - Numerical Solution of Partial Differential Equations on Parallel Computers.pdf:PDF},
  Keywords                 = {numerics, parallel, programming, scicomp},
  Series                   = {Lecture Notes in Computational Science and Engineering}
}

@Book{Canuto2006,
  Title                    = {Spectral Methods: Fundamentals in Single Domains},
  Author                   = {Canuto, Claudio and Hussaini, M. Youssuff and Quarteroni, Alfio and Zang, Thomas A.},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {2006},
  Series                   = {Scientific Computation},
  DOI                      = {10.1007/978-3-540-30726-6},
  Keywords                 = {numerics, spectral-methods}
}

@Article{Carpenter1993,
  author   = {Carpenter, Mark H. and Gottlieb, David and Abarbanel, Saul},
  title    = {The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes},
  journal  = {Journal of Computational Physics},
  year     = {1993},
  volume   = {108},
  pages    = {272--295},
  issn     = {0021-9991},
  doi      = {http://dx.doi.org/10.1006/jcph.1993.1182},
  file     = {:papers/1993/Carpenter - The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes .pdf:PDF},
  keywords = {numerics, CFD, compact-schemes},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999183711824},
}

@Article{Carpenter1994,
  author   = {Carpenter, Mark H. and Gottlieb, David and Abarbanel, Saul},
  title    = {Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes},
  journal  = j-jcp,
  year     = {1994},
  volume   = {111},
  pages    = {220--236},
  issn     = {0021-9991},
  doi      = {10.1006/jcph.1994.1057},
  file     = {:papers/1994/Carpenter - Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems Methodology and Application to High-Order Compact Schemes.pdf:PDF},
  keywords = {numerics, CFD, compact-schemes},
}

@Article{Carpenter1999,
  author   = {Carpenter, Mark H. and Nordström, Jan and Gottlieb, David},
  title    = {A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy},
  journal  = {Journal of Computational Physics},
  year     = {1999},
  volume   = {148},
  pages    = {341--365},
  issn     = {0021-9991},
  doi      = {http://dx.doi.org/10.1006/jcph.1998.6114},
  file     = {:papers/1999/Carpenter - A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy .pdf:PDF},
  keywords = {numerics, CFD},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999198961149},
}

@Article{Case1960,
  author   = {Case, K. M.},
  title    = {Stability of Inviscid Plane Couette Flow},
  journal  = {Physics of Fluids},
  year     = {1960},
  volume   = {3},
  pages    = {143--148},
  doi      = {10.1063/1.1706010},
  file     = {:papers/1960/Case - Stability of Inviscid Plane Couette Flow.pdf:PDF},
  keywords = {analytics, stability},
}

@Article{Casper1993,
  author   = {Casper, Jay and Atkins, H. L.},
  title    = {{A Finite-Volume High-Order ENO Scheme for Two-Dimensional Hyperbolic Systems}},
  journal  = {Journal of Computational Physics},
  year     = {1993},
  volume   = {106},
  pages    = {62--76},
  file     = {:papers/Casper, Atkins - 1993 - A Finite-Volume High-Order ENO Scheme for Two-Dimensional Hyperbolic Systems.pdf:pdf},
  keywords = {ENO,numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999183710910},
}

@Article{Casper1994,
  author   = {Casper, Jay and Shu, Chi-Wang and Atkins, H. L.},
  title    = {{Comparison of two formulations for high-order accurate essentially nonoscillatory schemes}},
  journal  = {AIAA Journal},
  year     = {1994},
  volume   = {32},
  pages    = {1970--1977},
  file     = {:papers/Casper, Shu, Atkins - 1994 - Comparison of two formulations for high-order accurate essentially nonoscillatory schemes.pdf:pdf},
  keywords = {ENO,numerics},
  url      = {http://arc.aiaa.org/doi/pdf/10.2514/3.12240},
}

@Article{Castro2011,
  author   = {Marcos Castro and Bruno Costa and Wai Sun Don},
  title    = {High Order Weighted Essentially Non-oscillatory {WENO-Z} Schemes For Hyperbolic Conservation Laws},
  journal  = {Journal of Computational Physics},
  year     = {2011},
  volume   = {230},
  pages    = {1766--1792},
  issn     = {0021-9991},
  doi      = {10.1016/j.jcp.2010.11.028},
  file     = {:papers/2011/Castro - High Order Weighted Essentially Non-oscillatory WENO-Z Schemes For Hyperbolic Conservation Laws.pdf:PDF},
  keywords = {numerics, WENO},
}

@Article{Chapman1899,
  author   = {Chapman, David Leonard},
  title    = {On the Rate of Explosion in Gases},
  journal  = {Philosophical Magazine Series 5},
  year     = {1899},
  volume   = {47},
  pages    = {90--104},
  doi      = {10.1080/14786449908621243},
  keywords = {detonation},
  printed  = {printed},
}

@Article{Charney1950,
  author   = {Charney, J. and Fjörtoft, R. and von Neumann, J.},
  title    = {Numerical Integration of the Barotropic Vorticity Equation},
  journal  = {Tellus A},
  year     = {1950},
  volume   = {2},
  doi      = {10.3402/tellusa.v2i4.8607},
  file     = {:papers/1950/Charney - Numerical Integration of the Barotropic Vorticity Equation.pdf:PDF},
  keywords = {CFD, numerics},
  url      = {http://www.tellusa.net/index.php/tellusa/article/view/8607},
}

@InProceedings{Chellappa2008,
  author    = {Chellappa, Srinivas and Franchetti, Franz and P\"{u}schel, Markus},
  title     = {How to Write Fast Numerical Code: {A} Small Introduction},
  booktitle = {Proc. Summer School on Generative and Transformational Techniques in Software Engineering (GTTSE)},
  year      = {2008},
  volume    = {5235},
  series    = {Lecture Notes in Computer Science},
  pages     = {196--259},
  publisher = {Springer},
  doi       = {10.1007/978-3-540-88643-3_5},
  file      = {:papers/2008/Chellappa - How to Write Fast Numerical Code A Small Introduction.pdf:PDF},
  journal   = {Lecture Notes in Computer Science},
  keywords  = {scicomp, HPC},
}

@Article{Chen1971,
  author   = {Chen, Peter J. and Gurtin, Morton E.},
  title    = {Growth and Decay of One-Dimensional Shock Waves in Fluids with Internal State Variables},
  journal  = {Physics of Fluids},
  year     = {1971},
  volume   = {14},
  pages    = {1091},
  doi      = {10.1063/1.1693568},
  file     = {:papers/1971/Chen - Growth and Decay of One-Dimensional Shock Waves in Fluids with Internal State Variables.pdf:PDF},
  keywords = {gasdynamics},
}

@Article{Chern1986,
  author   = {Chern, I.-L and Glimm, J and Mcbryan, O and Plohr, B and Yaniv, S},
  title    = {{Front tracking for gas dynamics}},
  journal  = {Journal of Computational Physics},
  year     = {1986},
  volume   = {62},
  pages    = {83--110},
  issn     = {00219991},
  doi      = {10.1016/0021-9991(86)90101-4},
  file     = {:papers/Chern et al. - 1986 - Front tracking for gas dynamics.pdf:pdf},
  keywords = {gasdynamics,numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/0021999186901014},
}

@PhdThesis{Chiquete2011,
  Title                    = {Stability and Receptivity of Idealized Detonations},
  Author                   = {Chiquete, Carlos},
  School                   = {University of Arizona},
  Year                     = {2011},
  File                     = {:papers/2011/Chiquete - Stability and Receptivity of Idealized Detonations:PDF},
  Keywords                 = {numerics, spectral-methods, detonation, stability},
  Oclc                     = {752261496},
  Proquest                 = {11650},
  Publisher                = {The University of Arizona.},
  URL                      = {http://hdl.handle.net/10150/145419}
}

@InProceedings{Chiquete2008,
  Title                    = {Receptivity of Plane Idealized One-Reaction Detonations to Three-Dimensional Perturbations},
  Author                   = {Chiquete, Carlos and Shalaev, Ivan and Tumin, Anatoli},
  Booktitle                = {46th AIAA Aerospace Sciences Meeting and Exhibit},
  Year                     = {2008},
  DOI                      = {10.2514/6.2008-1038},
  File                     = {:papers/2008/Chiquete - Receptivity of Plane Idealized One-Reaction Detonations to Three-Dimensional Perturbations.pdf:PDF},
  Keywords                 = {detonation, stability, numerics},
  URL                      = {http://dx.doi.org/10.2514/6.2008-1038}
}

@Article{Choi2015,
  author   = {Choi, Jung J.},
  title    = {Hybrid spectral difference/embedded finite volume method for conservation laws},
  journal  = {Journal of Computational Physics},
  year     = {2015},
  volume   = {295},
  pages    = {285--306},
  issn     = {0021-9991},
  doi      = {http://dx.doi.org/10.1016/j.jcp.2015.04.013},
  file     = {:papers/2015/Choi - Hybrid spectral difference-embedded finite volume method for conservation laws.pdf:PDF},
  keywords = {numerics, WENO, spectral-methods},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999115002594},
}

@Book{Cohen2007,
  Title                    = {{Quantities, units and symbols in physical chemistry}},
  Author                   = {Cohen, ER},
  Year                     = {2007},
  File                     = {:papers/Cohen - 2007 - Quantities, units and symbols in physical chemistry.pdf:pdf},
  ISBN                     = {9780854044337},
  URL                      = {http://books.google.com/books?hl=en\&lr=\&id=TElmhULQoeIC\&oi=fnd\&pg=PR1\&dq=Quantities,+Units+and+Symbols+in+Physical+Chemistry\&ots=DjX6G9M7gE\&sig=PvEg6u\_xCg63WyFeWdCmTEE1Tuo}
}

@Article{Colella1990,
  author   = {Phillip Colella},
  title    = {Multidimensional Upwind Methods for Hyperbolic Conservation Laws},
  journal  = j-jcp,
  year     = {1990},
  volume   = {87},
  pages    = {171--200},
  issn     = {0021-9991},
  doi      = {10.1016/0021-9991(90)90233-Q},
  file     = {:papers/1990/Colella - Multidimensional Upwind Methods for Hyperbolic Conservation Laws.pdf:PDF},
  keywords = {numerics, gasdynamics},
}

@Article{Colella1985,
  Title                    = {{Efficient solution algorithms for the Riemann problem for real gases}},
  Author                   = {Colella, Phillip and Glaz, HM},
  Journal                  = {Journal of Computational Physics},
  Year                     = {1985},
  File                     = {:papers/Colella, Glaz - 1985 - Efficient solution algorithms for the Riemann problem for real gases.pdf:PDF},
  Keywords                 = {numerics},
  URL                      = {http://www.sciencedirect.com/science/article/pii/0021999185901469}
}

@Article{Colella1986,
  author    = {Colella, Phillip and Majda, Andrew and Roytburd, Victor},
  title     = {Theoretical and Numerical Structure for Reacting Shock Waves},
  journal   = {SIAM Journal on Scientific and Statistical Computing},
  year      = {1986},
  volume    = {7},
  pages     = {1059--1080},
  issn      = {0196-5204},
  doi       = {10.1137/0907073},
  file      = {:papers/Colella, Majda, Roytburd - 1986 - Theoretical and Numerical Structure for Reacting Shock Waves.pdf:PDF},
  keywords  = {detonation,numerics},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
}

@Article{Colella1984,
  author   = {Colella, Phillip and Woodward, Paul R},
  title    = {The Piecewise Parabolic Method {(PPM)} for Gas-dynamical Simulations},
  journal  = j-jcp,
  year     = {1984},
  volume   = {54},
  pages    = {174--201},
  doi      = {10.1016/0021-9991(84)90143-8},
  file     = {:papers/Colella, Woodward - 1984 - The Piecewise Parabolic Method (PPM) for gas-dynamical simulations.pdf:pdf},
  keywords = {numerics},
}

@Article{Cooley1965,
  author    = {Cooley, James W. and Tukey, John W.},
  title     = {An algorithm for the machine calculation of complex {Fourier} series},
  journal   = {Mathematics of Computation},
  year      = {1965},
  volume    = {19},
  pages     = {297–297},
  issn      = {0025-5718},
  doi       = {10.1090/s0025-5718-1965-0178586-1},
  file      = {:papers/1965/Cooley - An algorithm for the machine calculation of complex Fourier series.pdf:PDF},
  keywords  = {scicomp, HPC, numerics},
  publisher = {American Mathematical Society (AMS)},
  url       = {http://dx.doi.org/10.1090/S0025-5718-1965-0178586-1},
}

@Article{Courant1928,
  author   = {Courant, R. and Friedrichs, K. and Lewy, H.},
  title    = {{\"U}ber die partiellen {Differenzengleichungen} der mathematischen {Physik}},
  journal  = {Mathematische Annalen},
  year     = {1928},
  volume   = {100},
  pages    = {32--74},
  doi      = {10.1007/BF01448839},
  file     = {:papers/1928/Courant - Uber die partiellen Differenzengleichungen der mathematischen Physik.pdf:PDF},
  keywords = {numerics},
}

@Article{Courant1967,
  author   = {Courant, R. and Friedrichs, K. and Lewy, H.},
  title    = {On the Partial Difference Equations of Mathematical Physics},
  journal  = {IBM Journal of Research and Development},
  year     = {1967},
  volume   = {11},
  pages    = {215--234},
  issn     = {0018-8646},
  doi      = {10.1147/rd.112.0215},
  file     = {:papers/1967/Courant - On the Partial Difference Equations of Mathematical Physics.pdf:PDF},
  keywords = {numerics},
}

@Article{Cox1999,
  author   = {Cox, M. G. and Harris, P. M.},
  title    = {Design and Use of Reference Data Sets for Testing Scientific Software},
  journal  = {Analytica Chimica Acta},
  year     = {1999},
  volume   = {380},
  pages    = {339--351},
  issn     = {00032670},
  doi      = {10.1016/S0003-2670(98)00481-4},
  file     = {:papers/1999/Cox - Design and Use of Reference Data Sets for Testing Scientific Software.pdf:PDF},
  keywords = {programming, scicomp, testing},
}

@Article{Crandall1980a,
  author   = {Crandall, Michael and Majda, Andrew},
  title    = {{The method of fractional steps for conservation laws}},
  journal  = {Numerische Mathematik},
  year     = {1980},
  volume   = {34},
  pages    = {285--314},
  issn     = {0029-599X},
  doi      = {10.1007/BF01396704},
  file     = {:papers/Crandall, Majda - 1980 - The method of fractional steps for conservation laws.pdf:pdf},
  keywords = {numerics},
  url      = {http://link.springer.com/10.1007/BF01396704},
}

@Article{Crandall1984,
  author   = {Crandall, M. G. and Lions, P.-L.},
  title    = {{Two approximations of solutions of Hamilton-Jacobi equations}},
  journal  = {Mathematics of Computation},
  year     = {1984},
  volume   = {43},
  pages    = {1--19},
  issn     = {0025-5718},
  doi      = {10.1090/S0025-5718-1984-0744921-8},
  file     = {:papers/Crandall, Lions - 1984 - Two approximations of solutions of Hamilton-Jacobi equations.pdf:pdf},
  keywords = {Hamilton-Jacobi equations,difference approximations,error estimates,method of vanishing viscosity,numerics},
  url      = {http://www.ams.org/mcom/1984-43-167/S0025-5718-1984-0744921-8/},
}

@Article{Crandall1980,
  author   = {Crandall, Michael G. and Majda, Andrew},
  title    = {{Monotone difference approximations for scalar conservation laws}},
  journal  = {Mathematics of Computation},
  year     = {1980},
  volume   = {34},
  pages    = {1-21},
  issn     = {0025-5718},
  doi      = {10.1090/S0025-5718-1980-0551288-3},
  file     = {:papers/Crandall, Majda - 1980 - Monotone difference approximations for scalar conservation laws.pdf:PDF},
  keywords = {Conservation laws,entropy conditions,numerics,shock waves difference approximations},
  url      = {http://www.ams.org/mcom/1980-34-149/S0025-5718-1980-0551288-3/},
}

@Article{Crank1947,
  author   = {Crank, J. and Nicolson, P.},
  title    = {A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of the Heat-conduction Type},
  journal  = {Mathematical Proceedings of the Cambridge Philosophical Society},
  year     = {1947},
  volume   = {43},
  pages    = {50--67},
  issn     = {1469-8064},
  doi      = {10.1017/S0305004100023197},
  file     = {:papers/1947/Crank - A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of the Heat-conduction Type.pdf:PDF},
  issue    = {01},
  keywords = {numerics},
  numpages = {18},
  url      = {http://journals.cambridge.org/article_S0305004100023197},
}

@Article{Crowder1979,
  author   = {Crowder, Harlan and Dembo, Ron S. and Mulvey, John M.},
  title    = {On Reporting Computational Experiments with Mathematical Software},
  journal  = {ACM Transactions on Mathematical Software},
  year     = {1979},
  volume   = {5},
  pages    = {193--203},
  issn     = {0098-3500},
  doi      = {10.1145/355826.355833},
  file     = {:papers/1979/Crowder - On Reporting Computational Experiments with Mathematical Software.pdf:PDF},
  keywords = {programming, scicomp},
}

@Article{Curtiss1952,
  author     = {Curtiss, C. F. and Hirschfelder, J. O.},
  title      = {Integration of Stiff Equations},
  journal    = {Proceedings of the National Academy of Sciences of the United States of America},
  year       = {1952},
  volume     = {38},
  pages      = {235--243},
  file       = {:papers/1952/Curtiss - Integration of Stiff Equations.pdf:PDF},
  keywords   = {numerics, ODE, stiffness},
  readstatus = {read},
}

@Article{Doering1943,
  Title                    = {{\"U}ber {Detonationsvorgang} in {Gasen} [{On} Detonation Processes in Gases]},
  Author                   = {D{\"o}ring, Werner},
  Journal                  = {Annalen der Physik},
  Year                     = {1943},
  Pages                    = {421--436},
  Volume                   = {43},
  DOI                      = {10.1002/andp.19434350605},
  Keywords                 = {detonation}
}

@Book{Dahl1972StructuredProgramming,
  Title                    = {Structured Programming},
  Author                   = {Dahl, O. J. and Dijkstra, E. W. and Hoare, C. A. R.},
  Publisher                = {Academic Press Ltd.},
  Year                     = {1972},
  Address                  = {London, UK},
  ISBN                     = {0-12-200550-3},
  Keywords                 = {programming}
}

@Article{Daimon2003,
  author   = {Daimon, Yu and Matsuo, Akiko},
  title    = {{Detailed features of one-dimensional detonations}},
  journal  = {Physics of Fluids (1994-present)},
  year     = {2003},
  volume   = {15},
  pages    = {112--122},
  file     = {:papers/Daimon, Matsuo - 2003 - Detailed features of one-dimensional detonations.pdf:pdf},
  keywords = {detonation},
  url      = {http://scitation.aip.org/content/aip/journal/pof2/15/1/10.1063/1.1526698},
}

@Article{Dalcin2008,
  author   = {Dalc{\' i}n, Lisandro and Paz, Rodrigo and Storti, Mario and D’El{\' i}a, Jorge},
  title    = {{MPI} for {Python}: Performance Improvements and {MPI-2} Extensions},
  journal  = {Journal of Parallel and Distributed Computing},
  year     = {2008},
  volume   = {68},
  pages    = {655--662},
  issn     = {07437315},
  doi      = {10.1016/j.jpdc.2007.09.005},
  file     = {:papers/2008/Dalcin - MPI for Python Performance Improvements and MPI-2 Extensions.pdf:PDF},
  keywords = {scicomp, parallel, python},
  url      = {http://www.sciencedirect.com/science/article/pii/S0743731507001712},
}

@Article{Dalcin2011,
  author   = {Dalcin, Lisandro D. and Paz, Rodrigo R. and Kler, Pablo A. and Cosimo, Alejandro},
  title    = {Parallel Distributed Computing Using {Python}},
  journal  = {Advances in Water Resources},
  year     = {2011},
  volume   = {34},
  pages    = {1124--1139},
  issn     = {0309-1708},
  note     = {New Computational Methods and Software Tools},
  doi      = {10.1016/j.advwatres.2011.04.013},
  file     = {:papers/2011/Dalcin - Parallel Distributed Computing Using Python.pdf:PDF},
  keywords = {scicomp, python},
}

@Article{Davison2012,
  author   = {Davison, A. P.},
  title    = {Automated Capture of Experiment Context for Easier Reproducibility in Computational Research},
  journal  = j-cise,
  year     = {2012},
  volume   = {14},
  pages    = {48--56},
  doi      = {10.1109/MCSE.2012.41},
  file     = {:papers/2012/Davison - Automated Capture of Experiment Context for Easier Reproducibility in Computational Research.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@Article{DeSterck2009,
  author   = {De Sterck, Hans and Rostrup, Scott and Tian, Feng},
  title    = {A Fast and Accurate Algorithm for Computing Radial Transonic Flows},
  journal  = {Journal of Computational and Applied Mathematics},
  year     = {2009},
  volume   = {223},
  pages    = {916--928},
  issn     = {03770427},
  doi      = {10.1016/j.cam.2008.03.019},
  file     = {:papers/2009/De Sterck - A Fast and Accurate Algorithm for Computing Radial Transonic Flows.pdf:PDF},
  keywords = {numerics, ODE, dynamical-systems},
}

@InProceedings{Deiterding2002,
  Title                    = {{Efficient simulation of multi-dimensional detonation phenomena}},
  Author                   = {Deiterding, Ralf},
  Booktitle                = {ALGORITMY 2002},
  Year                     = {2002},
  Pages                    = {94--101},
  File                     = {:papers/Deiterding - 2002 - Efficient simulation of multi-dimensional detonation phenomena.pdf:PDF},
  Keywords                 = {amr, detonation, numerics, parallel}
}

@PhdThesis{Deiterding2003,
  author   = {Deiterding, Ralf},
  title    = {Parallel Adaptive Simulation of Multi-dimensional Detonation Structures},
  school   = {Brandenburg University of Technology},
  year     = {2003},
  address  = {Cottbus, Brandenburg},
  file     = {:papers/2003/Deiterding - Parallel Adaptive Simulation of Multi-dimensional Detonation Structures.pdf:PDF},
  keywords = {detonation, amr, numerics},
  url      = {www.researchgate.net/publication/247102881_Parallel_adaptive_simulation_of_multi-dimensional_detonation_structures},
}

@InProceedings{Derlaga2013,
  Title                    = {{SENSEI} Computational Fluid Dynamics Code: A Case Study in Modern {Fortran} Software Development},
  Author                   = {Derlaga, Joseph M and Phillips, Tyrone S and Roy, Christopher J},
  Booktitle                = {21st AIAA Computational Fluid Dynamics Conference},
  Year                     = {2013},
  Publisher                = {American Institute of Aeronautics and Astronautics},
  DOI                      = {10.2514/6.2013-2450},
  File                     = {:papers/2013/Derlaga - SENSEI Computational Fluid Dynamics Code A Case Study in Modern Fortran Software Development.pdf:PDF},
  Keywords                 = {numerics, gasdynamics, scicomp},
  URL                      = {http://dx.doi.org/10.2514/6.2013-2450}
}

@Article{Diethelm2012,
  author   = {Diethelm, Kai},
  title    = {The Limits of Reproducibility in Numerical Simulation},
  journal  = j-cise,
  year     = {2012},
  volume   = {14},
  pages    = {64--72},
  issn     = {1521-9615},
  doi      = {10.1109/MCSE.2011.21},
  file     = {:papers/2012/Diethelm - The Limits of Reproducibility in Numerical Simulation.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@Article{Dijkstra1972,
  author     = {Dijkstra, Edsger W.},
  title      = {The Humble Programmer},
  journal    = {Communications of the ACM},
  year       = {1972},
  volume     = {15},
  pages      = {859--866},
  issn       = {0001-0782},
  acmid      = {361591},
  address    = {New York, NY, USA},
  doi        = {10.1145/355604.361591},
  file       = {:papers/1972/Dijkstra - The Humble Programmer.pdf:PDF},
  issue_date = {Oct. 1972},
  keywords   = {programming},
  numpages   = {8},
  publisher  = {ACM},
  url        = {http://doi.acm.org/10.1145/355604.361591},
}

@InCollection{Dijkstra1982,
  Title                    = {On the Role of Scientific Thought},
  Author                   = {Dijkstra, Edsger W.},
  Booktitle                = {Selected Writings on Computing: A personal Perspective},
  Publisher                = {Springer New York},
  Year                     = {1982},
  Address                  = {New York, NY},
  Pages                    = {60--66},
  DOI                      = {10.1007/978-1-4612-5695-3_12},
  File                     = {:papers/1982/Dijkstra - On the Role of Scientific Thought.pdf:PDF},
  ISBN                     = {978-1-4612-5697-7},
  Keywords                 = {programming}
}

@Article{Dold1991,
  author  = {Dold, John W. and Kapila, A. K.},
  title   = {{Comparison between shock initiations of detonation using thermally-sensitive and chain-branching chemical models}},
  journal = {Combustion and Flame},
  year    = {1991},
  volume  = {85},
  pages   = {185--194},
  issn    = {00102180},
  doi     = {10.1016/0010-2180(91)90186-F},
  file    = {:papers/Dold, Kapila - 1991 - Comparison between shock initiations of detonation using thermally-sensitive and chain-branching chemical models.pdf:pdf},
  url     = {http://linkinghub.elsevier.com/retrieve/pii/001021809190186F},
}

@Book{Dongarra1979,
  Title                    = {{LINPACK} Users' Guide},
  Author                   = {Dongarra, J. and Moler, C. and Bunch, J. and Stewart, G.},
  Publisher                = {Society for Industrial and Applied Mathematics},
  Year                     = {1979},
  DOI                      = {10.1137/1.9781611971811},
  Eprint                   = {http://epubs.siam.org/doi/pdf/10.1137/1.9781611971811},
  Keywords                 = {numerics, scicomp, linear-algebra},
  URL                      = {http://epubs.siam.org/doi/abs/10.1137/1.9781611971811}
}

@Article{Donoho2010,
  author   = {Donoho, David L.},
  title    = {An Invitation to Reproducible Computational Research},
  journal  = {Biostatistics},
  year     = {2010},
  volume   = {11},
  pages    = {385--388},
  doi      = {10.1093/biostatistics/kxq028},
  file     = {:papers/2010/Donoho - An Invitation to Reproducible Computational Research.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@TechReport{Donoho2008,
  author      = {Donoho, David L. and Maleki, Arian and Ur Rahman, Inam and Shahram, Morteza and Stodden, Victoria},
  title       = {Fifteen Years of Reproducible Research in Computational Harmonic Analysis},
  institution = {Department of Statistics, Stanford University},
  year        = {2008},
  type        = {Technical Report},
  address     = {Stanford, CA},
  file        = {:papers/2008/Donoho - Fifteen Years of Reproducible Research in Computational Harmonic Analysis.pdf:PDF},
  keywords    = {scicomp, reproducibility},
  url         = {statistics.stanford.edu/research/15-years-reproducible-research-computational-harmonic-analysis},
}

@Article{Donoho2009,
  author     = {Donoho, David L. and Maleki, Arian and Ur Rahman, Inam and Shahram, Morteza and Stodden, Victoria},
  title      = {Reproducible Research in Computational Harmonic Analysis},
  journal    = j-cise,
  year       = {2009},
  volume     = {11},
  pages      = {8--18},
  issn       = {1521-9615},
  doi        = {10.1109/MCSE.2009.15},
  file       = {:papers/2009/Donoho - Reproducible Research in Computational Harmonic Analysis.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  readstatus = {read},
}

@Article{Downes2002,
  Title                    = {{Short Math Guide for LATEX}},
  Author                   = {Downes, Michael},
  Journal                  = {American Mathematical Society},
  Year                     = {2002},
  Pages                    = {1--17},
  Editor                   = {Rogers, E and O'Reilly, J},
  File                     = {:papers/Downes - 2002 - Short Math Guide for LATEX.pdf:PDF},
  Institution              = {American Mathematical Society},
  ISBN                     = {1581139306},
  Publisher                = {Citeseer}
}

@Book{Drazin2002,
  Title                    = {Introduction to Hydrodynamic Stability},
  Author                   = {Drazin, Philip G.},
  Publisher                = {Cambridge University Press},
  Year                     = {2002},
  DOI                      = {10.1017/CBO9780511809064},
  ISBN                     = {9780511809064},
  Keywords                 = {stability}
}

@Article{Dubois2005,
  author   = {Dubois, Paul F.},
  title    = {Maintaining Correctness in Scientific Programs},
  journal  = j-cise,
  year     = {2005},
  volume   = {7},
  pages    = {80--85},
  doi      = {10.1109/MCSE.2005.54},
  file     = {:papers/2005/Dubois - Maintaining Correctness in Scientific Programs.pdf:PDF},
  keywords = {scicomp, testing, verification},
}

@Article{Dubois2012,
  author     = {Dubois, Paul F.},
  title      = {Testing Scientific Programs},
  journal    = j-cise,
  year       = {2012},
  volume     = {14},
  pages      = {69--73},
  doi        = {10.1109/MCSE.2012.84},
  file       = {:papers/2012/Dubois - Testing Scientific Programs.pdf:PDF},
  keywords   = {scicomp, testing},
  readstatus = {read},
}

@Article{Duff1958,
  author   = {Duff, Russell E.},
  title    = {Calculation of Reaction Profiles behind Steady-State Shock Waves. {I.} {Application} to Detonation Waves},
  journal  = {The Journal of Chemical Physics},
  year     = {1958},
  volume   = {28},
  pages    = {1193--1197},
  doi      = {10.1063/1.1744366},
  file     = {:papers/1958/Duff - Calculation of Reaction Profiles behind Steady-State Shock Waves. I. Application to Detonation Waves.pdf:PDF},
  keywords = {detonation},
}

@Article{Einfeldt1988,
  author    = {Einfeldt, Bernd},
  title     = {{On Godunov-Type Methods for Gas Dynamics}},
  journal   = j-sinum,
  year      = {1988},
  volume    = {25},
  pages     = {294--318},
  issn      = {0036-1429},
  doi       = {10.1137/0725021},
  file      = {:papers/Einfeldt - 1988 - On Godunov-Type Methods for Gas Dynamics.pdf:pdf},
  keywords  = {Godunov-type methods,Riemann solver,equation of state,gas dynamics,gasdynamics,hyperbolic conservation laws,numerics},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
  url       = {http://epubs.siam.org/doi/abs/10.1137/0725021},
}

@Article{Erpenbeck1962,
  author   = {Erpenbeck, Jerome J.},
  title    = {Stability of Steady-state Equilibrium Detonations},
  journal  = {Physics of Fluids (1958--1988)},
  year     = {1962},
  volume   = {5},
  pages    = {604--614},
  doi      = {10.1063/1.1706664},
  file     = {:papers/1962/Erpenbeck - Stability of Steady-state Equilibrium Detonations.pdf:PDF},
  keywords = {analytics, detonation, stability},
}

@Article{Erpenbeck1964,
  author   = {Erpenbeck, Jerome J.},
  title    = {Stability of Idealized One-Reaction Detonations},
  journal  = {Physics of Fluids (1958--1988)},
  year     = {1964},
  volume   = {7},
  pages    = {684--696},
  issn     = {00319171},
  doi      = {10.1063/1.1711269},
  file     = {:papers/1964/Erpenbeck - Stability of Idealized One-Reaction Detonations.pdf:PDF},
  keywords = {analytics, detonation, stability},
}

@Article{Erpenbeck1967,
  author   = {Erpenbeck, Jerome J.},
  title    = {Nonlinear Theory of Unstable One-Dimensional Detonations},
  journal  = {Physics of Fluids (1958-1988)},
  year     = {1967},
  volume   = {10},
  pages    = {274--289},
  doi      = {10.1063/1.1762107},
  file     = {:papers/1967/Erpenbeck - Nonlinear Theory of Unstable One‐Dimensional Detonations.pdf:PDF},
  keywords = {detonation, stability},
}

@Article{Faria2015Qualitative,
  author    = {Faria, Luiz M and Kasimov, Aslan R},
  title     = {Qualitative modeling of the dynamics of detonations with losses},
  journal   = {Proceedings of the Combustion Institute},
  year      = {2015},
  volume    = {35},
  file      = {:papers/2015/Faria - Qualitative modeling of the dynamics of detonations with losses.pdf:PDF},
  publisher = {Elsevier},
}

@Article{Faria2014a,
  author   = {Faria, Luiz M and Kasimov, Aslan R and Rosales, Rodolfo R},
  title    = {Study of a Model Equation in Detonation Theory},
  journal  = {SIAM Journal on Applied Mathematics},
  year     = {2014},
  volume   = {74},
  pages    = {547--570},
  issn     = {0036-1399},
  doi      = {10.1137/130938232},
  file     = {:papers/2014/Faria - Study of a Model Equation in Detonation Theory.pdf:PDF},
  keywords = {detonation},
  url      = {http://epubs.siam.org/doi/abs/10.1137/130938232},
}

@Article{FariaEtAl2015,
  author   = {Faria, Luiz M. and Kasimov, Aslan R. and Rosales, Rodolfo R.},
  title    = {Theory of Weakly Nonlinear Self-sustained Detonations},
  journal  = j-jfm,
  year     = {2015},
  volume   = {784},
  pages    = {163--198},
  issn     = {1469-7645},
  doi      = {10.1017/jfm.2015.577},
  file     = {:papers/2015/Faria - Theory of Weakly Nonlinear Self-sustained Detonations.pdf:PDF},
  keywords = {detonation, stability},
  numpages = {36},
}

@Article{Fay1961,
  author   = {Fay, James A.},
  title    = {{The structure of gaseous detonation waves}},
  journal  = {Symposium (International) on Combustion},
  year     = {1961},
  volume   = {8},
  pages    = {30--40},
  issn     = {00820784},
  doi      = {10.1016/S0082-0784(06)80484-4},
  file     = {:papers/1961/Fay - The structure of gaseous detonation waves.pdf:PDF},
  keywords = {detonation},
  url      = {http://www.sciencedirect.com/science/article/pii/S0082078406804844},
}

@InCollection{Fedkiw2001,
  Title                    = {The {Ghost Fluid Method} for Numerical Treatment of Discontinuities and Interfaces},
  Author                   = {Fedkiw, Ronald P.},
  Booktitle                = {Godunov Methods: Theory and Applications},
  Publisher                = {Springer US},
  Year                     = {2001},
  Editor                   = {Toro, E. F.},
  Pages                    = {309--317},
  DOI                      = {10.1007/978-1-4615-0663-8_32},
  File                     = {:papers/2001/Fedkiw - The Ghost Fluid Method for Numerical Treatment of Discontinuities and Interfaces.pdf:PDF},
  ISBN                     = {978-1-4613-5183-2},
  Keywords                 = {numerics, CFD, godunov-type}
}

@Article{Fedkiw1999a,
  author   = {Ronald P. Fedkiw and Tariq Aslam and Barry Merriman and Stanley Osher},
  title    = {A Non-oscillatory {Eulerian} Approach to Interfaces in Multimaterial Flows (the {Ghost} {Fluid} {Method})},
  journal  = j-jcp,
  year     = {1999},
  volume   = {152},
  pages    = {457--492},
  doi      = {http://dx.doi.org/10.1006/jcph.1999.6236},
  file     = {:papers/1999/Fedkiw - A Non-oscillatory {Eulerian} Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method).pdf:PDF},
  keywords = {numerics, gasdynamics},
}

@Article{Fedkiw1999,
  author   = {Ronald P. Fedkiw and Tariq Aslam and Shaojie Xu},
  title    = {The {Ghost Fluid Method} for Deflagration and Detonation Discontinuities},
  journal  = j-jcp,
  year     = {1999},
  volume   = {154},
  pages    = {393--427},
  doi      = {10.1006/jcph.1999.6320},
  file     = {:papers/1999/Fedkiw - The Ghost Fluid Method for Deflagration and Detonation Discontinuities.pdf:PDF},
  keywords = {numerics, CFD, ghost-fluid},
}

@Article{Fedkiw1997,
  author   = {Fedkiw, Ronald P. and Merriman, Barry and Osher, Stanley},
  title    = {High Accuracy Numerical Methods for Thermally Perfect Gas Flows with Chemistry},
  journal  = j-jcp,
  year     = {1997},
  volume   = {132},
  pages    = {175--190},
  doi      = {10.1006/jcph.1996.5622},
  file     = {:papers/1997/Fedkiw - High Accuracy Numerical Methods for Thermally Perfect Gas Flows with Chemistry.pdf:PDF},
  keywords = {numerics, detonation},
}

@Article{Fickett1979,
  author    = {Fickett, Wildon},
  title     = {Detonation in Miniature},
  journal   = {American Journal of Physics},
  year      = {1979},
  volume    = {47},
  pages     = {1050--1059},
  doi       = {10.1119/1.11973},
  file      = {:papers/1979/Fickett - Detonation in Miniature.pdf:PDF},
  keywords  = {detonation},
  publisher = {American Association of Physics Teachers},
}

@Article{Fickett1984,
  author   = {Fickett, Wildon},
  title    = {Shock Initiation of Detonation in a Dilute Explosive},
  journal  = {Physics of Fluids},
  year     = {1984},
  volume   = {27},
  pages    = {94--105},
  doi      = {10.1063/1.864493},
  file     = {:papers/1984/Fickett - Shock Initiation of Detonation in a Dilute Explosive.pdf:PDF},
  keywords = {detonation},
}

@Book{Fickett1985Introduction,
  Title                    = {Introduction to Detonation Theory},
  Author                   = {Fickett, Wildon},
  Publisher                = {University of California Press},
  Year                     = {1985},
  ISBN                     = {9780520051256},
  Keywords                 = {detonation},
  Pages                    = {249}
}

@Article{Fickett1985,
  author   = {Fickett, Wildon},
  title    = {Stability of the Square-wave Detonation in a Model System},
  journal  = {Physica D: Nonlinear Phenomena},
  year     = {1985},
  volume   = {16},
  pages    = {358--370},
  issn     = {01672789},
  doi      = {10.1016/0167-2789(85)90014-4},
  file     = {:papers/1985/Fickett - Stability of the Square-wave Detonation in a Model System.pdf:PDF},
  keywords = {detonation, stability},
}

@Article{Fickett1987,
  author   = {Fickett, Wildon},
  title    = {Decay of Small Planar Perturbations on a Strong Steady Detonation: {A} Differential–Difference Equation for the Shock},
  journal  = {Physics of Fluids},
  year     = {1987},
  volume   = {30},
  pages    = {1299},
  doi      = {10.1063/1.866245},
  file     = {:papers/1987/Fickett - Decay of Small Planar Perturbations on a Strong Steady Detonation A Differential–Difference Equation for the Shock.pdf:PDF},
  keywords = {detonation, stability},
}

@Book{FickettDavis2000,
  title     = {Detonation: {Theory} and Experiment},
  publisher = {Dover Publications},
  year      = {2000},
  author    = {Fickett, Wildon and Davis, William C.},
  note      = {[Reprint of the University of California Press, 1979]},
  keywords  = {detonation},
  pages     = {386},
}

@Article{Fickett1972,
  author   = {Fickett, W. and Jacobson, J. D. and Schott, G. L.},
  title    = {Calculated Pulsating One-Dimensional Detonations with Induction-Zone Kinetics},
  journal  = {AIAA Journal},
  year     = {1972},
  volume   = {10},
  pages    = {514--516},
  doi      = {10.2514/3.50130},
  file     = {:papers/1972/Fickett - Calculated Pulsating One-Dimensional Detonations with Induction-Zone Kinetics.pdf:PDF},
  keywords = {detonation, numerics},
}

@Article{Fickett1966,
  author    = {Fickett, W. and Wood, W. W.},
  title     = {Flow Calculations for Pulsating One-Dimensional Detonations},
  journal   = {Physics of Fluids (1958-1988)},
  year      = {1966},
  volume    = {9},
  pages     = {903--916},
  issn      = {00319171},
  doi       = {10.1063/1.1761791},
  file      = {:papers/1966/Fickett - Flow Calculations for Pulsating One-Dimensional Detonations.pdf:PDF},
  keywords  = {detonation},
  language  = {en},
  publisher = {The American Institute of Physics},
}

@Article{Floyd1979,
  author   = {Floyd, Robert W.},
  title    = {{The paradigms of programming}},
  journal  = {Communications of the ACM},
  year     = {1979},
  volume   = {22},
  pages    = {455--460},
  issn     = {00010782},
  doi      = {10.1145/359138.359140},
  file     = {:papers/Floyd - 1979 - The paradigms of programming.pdf:PDF},
  keywords = {programming},
  url      = {http://dl.acm.org/citation.cfm?id=359140 http://portal.acm.org/citation.cfm?doid=359138.359140},
}

@Article{Fornberg1987,
  author   = {Fornberg, Bengt},
  title    = {The pseudospectral method: Comparisons with finite differences for the elastic wave equation},
  journal  = {Geophysics},
  year     = {1987},
  volume   = {52},
  pages    = {483-501},
  doi      = {10.1190/1.1442319},
  eprint   = {http://dx.doi.org/10.1190/1.1442319},
  file     = {:papers/1987/Fornberg - The pseudospectral method Comparisons with finite differences for the elastic wave equation.pdf:PDF},
  keywords = {spectral-methods, numerics},
  url      = {http://dx.doi.org/10.1190/1.1442319},
}

@Book{Fornberg1996,
  Title                    = {A Practical Guide to Pseudospectral Methods},
  Author                   = {Fornberg, Bengt},
  Publisher                = {Cambridge University Press},
  Year                     = {1996},
  Note                     = {Cambridge Books Online},
  DOI                      = {10.1017/CBO9780511626357},
  ISBN                     = {9780511626357},
  Keywords                 = {numerics, spectral-methods},
  URL                      = {http://dx.doi.org/10.1017/CBO9780511626357}
}

@Article{Gelfand1991,
  author   = {Gelfand, B. E. and Frolov, S. M. and Nettleton, M. A.},
  title    = {Gaseous detonations---{A} selective review},
  journal  = {Progress in Energy and Combustion Science},
  year     = {1991},
  volume   = {17},
  pages    = {327--371},
  issn     = {0360-1285},
  doi      = {http://dx.doi.org/10.1016/0360-1285(91)90007-A},
  file     = {:papers/1991/Gelfand - Gaseous detonations—A selective review.pdf:PDF},
  keywords = {detonation},
  url      = {http://www.sciencedirect.com/science/article/pii/036012859190007A},
}

@Misc{Gentzkow2014,
  author       = {Gentzkow, Matthew and Shapiro, Jesse M.},
  title        = {Code and Data for the Social Sciences: {A} Practitioner's Guide},
  howpublished = {\url{web.stanford.edu/~gentzkow/research/CodeAndData.pdf}},
  year         = {2014},
  file         = {:papers/2014/Gentzkow - Code and Data for the Social Sciences A Practitioner's Guide.pdf:PDF},
  keywords     = {scicomp, reproducibility},
  readstatus   = {read},
  url          = {web.stanford.edu/~gentzkow/research/CodeAndData.pdf},
}

@Book{Georgescu1985,
  Title                    = {Hydrodynamic stability theory},
  Author                   = {Georgescu, Adelina},
  Publisher                = {Springer Netherlands},
  Year                     = {1985},
  Series                   = {Mechanics: Analysis},
  Volume                   = {9},
  DOI                      = {10.1007/978-94-017-1814-1},
  Keywords                 = {analytics, stability}
}

@Article{Gibbons1960,
  author  = {Gibbons, A.},
  title   = {A Program for the Automatic Integration of Differential Equations using the Method of Taylor Series},
  journal = {The Computer Journal},
  year    = {1960},
  volume  = {3},
  pages   = {108-111},
  doi     = {10.1093/comjnl/3.2.108},
  file    = {:papers/1960/Gibbons - A Program for the Automatic Integration of Differential Equations using the Method of Taylor Series.pdf:PDF},
}

@Article{Goldberg1991,
  author   = {Goldberg, David},
  title    = {What Every Computer Scientist Should Know About Floating-Point Arithmetic},
  journal  = {ACM Computing Surveys},
  year     = {1991},
  volume   = {23},
  pages    = {5--48},
  issn     = {03600300},
  doi      = {10.1145/103162.103163},
  file     = {:papers/Goldberg - 1991 - What every computer scientist should know about floating-point arithmetic.pdf:PDF;:papers/Goldberg - 1991 - What every computer scientist should know about floating-point arithmetic.ps:PostScript},
  keywords = {scicomp},
}

@Article{Gorchkov2007,
  author   = {Gorchkov, V. and Kiyanda, C. B. and Short, Mark and Quirk, J. J.},
  title    = {A Detonation Stability Formulation for Arbitrary Equations of State and Multi-step Reaction Mechanisms},
  journal  = {Proceedings of the Combustion Institute},
  year     = {2007},
  volume   = {31},
  pages    = {2397--2405},
  doi      = {10.1016/j.proci.2006.07.219},
  file     = {:papers/Gorchkov et al. - 2007 - A detonation stability formulation for arbitrary equations of state and multi-step reaction mechanisms.pdf:PDF},
  keywords = {detonation},
}

@TechReport{Gordon1994,
  Title                    = {{Computer Program for Calculation of Complex Chemical Equilibrium Compositions and Applications I. Analysis}},
  Author                   = {Gordon, Sanford and McBride, Bonnie J},
  Year                     = {1994},
  File                     = {:papers/Gordon, McBride - 1994 - Computer Program for Calculation of Complex Chemical Equilibrium Compositions and Applications I. Analysis.pdf:pdf},
  Keywords                 = {thermodynamics},
  Publisher                = {NASA Reference Publication 1311},
  URL                      = {http://www.grc.nasa.gov/WWW/CEAWeb/RP-1311.pdf}
}

@Article{Gottlieb1981,
  author    = {Gottlieb, David},
  title     = {The stability of pseudospectral-{Chebyshev} methods},
  journal   = {Mathematics of Computation},
  year      = {1981},
  volume    = {36},
  pages     = {107-118},
  issn      = {0025-5718},
  doi       = {10.1090/s0025-5718-1981-0595045-1},
  file      = {:papers/1981/Gottlieb - The stability of pseudospectral-Chebyshev methods.pdf:PDF},
  keywords  = {numerics, spectral},
  publisher = {American Mathematical Society (AMS)},
  url       = {http://dx.doi.org/10.1090/S0025-5718-1981-0595045-1},
}

@Article{Gottlieb2001SpectralMethods,
  author   = {Gottlieb, D. and Hesthaven, J. S.},
  title    = {Spectral Methods for Hyperbolic Problems},
  journal  = {Journal of Computational and Applied Mathematics},
  year     = {2001},
  volume   = {128},
  pages    = {83--131},
  note     = {Numerical Analysis 2000. Vol. VII: Partial Differential Equations},
  doi      = {10.1016/S0377-0427(00)00510-0},
  file     = {:papers/2001/Gottlieb - Spectral methods for hyperbolic problems .pdf:PDF},
  keywords = {numerics, spectral-methods},
}

@Article{Gottlieb1981a,
  author   = {Gottlieb, David and Lustman, Liviu and Orszag, Steven A.},
  title    = {Spectral Calculations of One-Dimensional Inviscid Compressible Flows},
  journal  = {{SIAM} Journal on Scientific and Statistical Computing},
  year     = {1981},
  volume   = {2},
  pages    = {296--310},
  doi      = {10.1137/0902024},
  eprint   = {http://dx.doi.org/10.1137/0902024},
  file     = {:papers/1981/Gottlieb - Spectral Calculations of One-Dimensional Inviscid Compressible Flows.pdf:PDF},
  keywords = {numerics, spectral-methods},
  url      = {http://dx.doi.org/10.1137/0902024},
}

@Article{Gottlieb1980,
  Title                    = {On Time Discretizations for Spectral Methods},
  Author                   = {Gottlieb, David and Turkel, Eli},
  Journal                  = {Studies in Applied Mathematics},
  Year                     = {1980},
  Pages                    = {67--86},
  Volume                   = {63},
  File                     = {:papers/1980/Gottlieb - On Time Discretizations for Spectral Methods.pdf:PDF},
  Keywords                 = {spectral-methods}
}

@Article{Gottlieb2008,
  author   = {Gottlieb, Sigal and Ketcheson, David I. and Shu, Chi-Wang},
  title    = {High Order Strong Stability Preserving Time Discretizations},
  journal  = {Journal of Scientific Computing},
  year     = {2009},
  volume   = {38},
  pages    = {251--289},
  doi      = {10.1007/s10915-008-9239-z},
  file     = {:papers/Gottlieb, Ketcheson, Shu - 2009 - High Order Strong Stability Preserving Time Discretizations.pdf:pdf},
  keywords = {Runge--Kutta, numerics},
}

@Article{Gottlieb2006,
  Title                    = {{A fifth order flux implicit WENO method}},
  Author                   = {Gottlieb, Sigal and Mullen, JS and Ruuth, SJ},
  Journal                  = {Journal of Scientific Computing},
  Year                     = {2006},
  Pages                    = {1--19},
  File                     = {:papers/Gottlieb, Mullen, Ruuth - 2006 - A fifth order flux implicit WENO method.pdf:pdf},
  Keywords                 = {WENO,implicit,numerics,time-discretizations,weighted essentially non-oscillatory},
  URL                      = {http://link.springer.com/article/10.1007/s10915-005-9034-z}
}

@Article{Gottlieb1998,
  author   = {Gottlieb, Sigal and Shu, Chi-Wang},
  title    = {{Total variation diminishing Runge-Kutta schemes}},
  journal  = {Mathematics of Computation of the American Mathematical Society},
  year     = {1998},
  volume   = {67},
  pages    = {73--85},
  issn     = {0025-5718},
  doi      = {10.1090/S0025-5718-98-00913-2},
  file     = {:papers/Gottlieb, Shu - 1998 - Total variation diminishing Runge-Kutta schemes.pdf:pdf},
  keywords = {Runge--Kutta,numerics},
  url      = {http://www.ams.org/mcom/1998-67-221/S0025-5718-98-00913-2/},
}

@Article{Gottlieb2001,
  author    = {Gottlieb, Sigal and Shu, Chi-Wang and Tadmor, Eitan},
  title     = {Strong Stability-Preserving High-Order Time Discretization Methods},
  journal   = {SIAM Review},
  year      = {2001},
  volume    = {43},
  pages     = {89--112},
  issn      = {0036-1445},
  doi       = {10.1137/S003614450036757X},
  file      = {:papers/2001/Gottlieb - Strong Stability-Preserving High-Order Time Discretization Methods.pdf:PDF},
  isbn      = {10.1137/S003614450036757X},
  keywords  = {numerics, Runge--Kutta},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
}

@Book{Grama2003,
  Title                    = {{Introduction to Parallel Computing}},
  Author                   = {Grama, Ananth and Gupta, Anshul and Karypis, George and Kumar, Vipin},
  Publisher                = {Addison-Wesley},
  Year                     = {2003},
  Address                  = {New York},
  Edition                  = {2},
  ISBN                     = {0201648652},
  Keywords                 = {parallel},
  Pages                    = {636}
}

@Article{Grcar2011,
  author    = {Grcar, Joseph F.},
  title     = {How Ordinary Elimination Became {Gaussian} Elimination},
  journal   = {Historia Mathematica},
  year      = {2011},
  volume    = {38},
  pages     = {163–218},
  issn      = {0315-0860},
  doi       = {10.1016/j.hm.2010.06.003},
  file      = {:papers/2011/Grcar - How Ordinary Elimination Became Gaussian Elimination.pdf:PDF},
  keywords  = {math-history},
  publisher = {Elsevier BV},
  url       = {http://dx.doi.org/10.1016/j.hm.2010.06.003},
}

@Article{Greenough2004,
  author   = {Greenough, J. A and Rider, W. J.},
  title    = {{A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov}},
  journal  = {Journal of Computational Physics},
  year     = {2004},
  volume   = {196},
  pages    = {259--281},
  issn     = {00219991},
  doi      = {10.1016/j.jcp.2003.11.002},
  file     = {:papers/2004/Greenough - A quantitative comparison of numerical methods for the compressible Euler equations fifth-order WENO and piecewise-linear Godunov.pdf:PDF},
  keywords = {WENO,gasdynamics,numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999103005965},
}

@Book{Griebel2007,
  Title                    = {Numerical Simulation in Molecular Dynamics},
  Author                   = {Griebel, Michael and Zumbusch, Gerhard and Knapek, Stephan},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {2007},
  Series                   = {Texts in Computational Science and Engineering},
  Volume                   = {5},
  DOI                      = {10.1007/978-3-540-68095-6},
  ISBN                     = {978-3-540-68094-9},
  Keywords                 = {numerics}
}

@InProceedings{Gropp1999,
  Title                    = {Exploiting Existing Software in Libraries: {Successes}, Failures, and Reasons Why},
  Author                   = {Gropp, William},
  Booktitle                = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable Scientific and Engineering Computing},
  Year                     = {1999},
  Pages                    = {21--29},
  File                     = {:papers/1999/Gropp - Exploiting Existing Software in Libraries Successes, Failures, and Reasons Why.pdf:PDF},
  Keywords                 = {scicomp, programming}
}

@Book{Gropp1999MPIBook,
  Title                    = {{Using MPI: portable parallel programming with the message-passing interface}},
  Author                   = {Gropp, William D and Lusk, Ewing L and Skjellum, Anthony},
  Publisher                = {The MIT Press},
  Year                     = {1999},
  Address                  = {Cambridge},
  Edition                  = {2nd},
  ISBN                     = {0-262-57132-3},
  Keywords                 = {HPC,parallel},
  Pages                    = {371},
  URL                      = {http://books.google.com/books?hl=en\&lr=\&id=xpBZ0RyRb-oC\&oi=fnd\&pg=PA1\&dq=using+mpi\&ots=uahtj0MIbS\&sig=9ZRgNl0u3tZnU5aXq\_GKGqgW88Y}
}

@Article{Gunnels2001,
  author     = {Gunnels, John A. and Gustavson, Fred G. and Henry, Greg M. and van de Geijn, Robert A.},
  title      = {{FLAME}: Formal Linear Algebra Methods Environment},
  journal    = {ACM Transactions on Mathematical Software},
  year       = {2001},
  volume     = {27},
  pages      = {422--455},
  issn       = {0098-3500},
  acmid      = {504213},
  address    = {New York, NY, USA},
  doi        = {10.1145/504210.504213},
  file       = {:papers/2001/Gunnels - FLAME Formal Linear Algebra Methods Environment.pdf:PDF},
  issue_date = {December 2001},
  keywords   = {linear-algebra, HPC, numerics, scicomp},
  numpages   = {34},
  publisher  = {ACM},
  url        = {http://doi.acm.org/10.1145/504210.504213},
}

@PhdThesis{Guo2012,
  author   = {Guo, Philip J.},
  title    = {Software Tools to Facilitate Research Programming},
  school   = {Stanford University},
  year     = {2012},
  file     = {:papers/2012/Guo - Software Tools to Facilitate Research Programming.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@Article{Guo2012CDE,
  author   = {Guo, Philip J.},
  title    = {{CDE}: {A} Tool for Creating Portable Experimental Software Packages},
  journal  = j-cise,
  year     = {2012},
  volume   = {14},
  pages    = {32--35},
  issn     = {1521-9615},
  doi      = {10.1109/MCSE.2012.36},
  file     = {:papers/2012/Guo - CDE A Tool for Creating Portable Experimental Software Packages.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@Article{Ha2013,
  author   = {Ha, Youngsoo and {Ho Kim}, Chang and {Ju Lee}, Yeon and Yoon, Jungho},
  title    = {{An improved weighted essentially non-oscillatory scheme with a new smoothness indicator}},
  journal  = {Journal of Computational Physics},
  year     = {2013},
  volume   = {232},
  pages    = {68--86},
  issn     = {00219991},
  doi      = {10.1016/j.jcp.2012.06.016},
  file     = {:papers/Ha et al. - 2013 - An improved weighted essentially non-oscillatory scheme with a new smoothness indicator.pdf:pdf},
  keywords = {WENO, numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999112003233},
}

@Article{Hadjimichael2013,
  author   = {Hadjimichael, Yiannis and Macdonald, Colin B. and Ketcheson, David I. and Verner, James H.},
  title    = {Strong Stability Preserving Explicit {Runge--Kutta} Methods of Maximal Effective Order},
  journal  = j-sinum,
  year     = {2013},
  volume   = {51},
  pages    = {2149--2165},
  doi      = {10.1137/120884201},
  file     = {:papers/2013/Hadjimichael - Strong Stability Preserving Explicit Runge Kutta Methods of Maximal Effective Order.pdf:PDF},
  keywords = {numerics, ODE, Runge--Kutta},
}

@Book{HairerWanner1996,
  title     = {Solving Ordinary Differential Equations {II}: {Stiff} and Differential-Algebraic Problems},
  publisher = {Springer Berlin Heidelberg},
  year      = {1996},
  author    = {Hairer, Ernst and Wanner, Gerhard},
  volume    = {14},
  series    = {Springer Series in Computational Mathematics},
  address   = {Berlin, Heidelberg},
  isbn      = {978-3-642-05220-0},
  doi       = {10.1007/978-3-642-05221-7},
  keywords  = {numerics, ODE, stiffness},
}

@Book{HairerEtAl1993,
  title     = {Solving Ordinary Differential Equations~{I}: {Nonstiff} Problems},
  publisher = {Springer},
  year      = {1993},
  author    = {Hairer, Ernst and Wanner, Gerhard and N{\o}rsett, Syvert P.},
  doi       = {10.1007/978-3-540-78862-1},
  keywords  = {numerics, ODE},
}

@Article{Halbert1987,
  author   = {Halbert, D. C. and O'Brien, P. D.},
  title    = {Using Types and Inheritance in Object-Oriented Programming},
  journal  = {IEEE Software},
  year     = {1987},
  volume   = {4},
  pages    = {71--79},
  doi      = {10.1109/MS.1987.231776},
  file     = {:papers/1987/Halbert - Using Types and Inheritance in Object-Oriented Programming.pdf:PDF},
  keywords = {programming},
}

@Article{Hall1987,
  author   = {Hall, F. S. and Ludford, G. S. S.},
  title    = {Stability of a Detonation Wave},
  journal  = {Physica D: Nonlinear Phenomena},
  year     = {1987},
  volume   = {28},
  pages    = {1--17},
  issn     = {01672789},
  doi      = {10.1016/0167-2789(87)90119-9},
  file     = {:papers/1987/Hall - Stability of a Detonation Wave.pdf:PDF},
  keywords = {detonation, stability},
  url      = {http://www.sciencedirect.com/science/article/pii/0167278987901199},
}

@Article{Harten1989,
  author   = {Harten, Ami},
  title    = {{ENO} schemes with subcell resolution},
  journal  = {Journal of Computational Physics},
  year     = {1989},
  volume   = {83},
  pages    = {148--184},
  issn     = {00219991},
  doi      = {10.1016/0021-9991(89)90226-X},
  file     = {:papers/1989/Harten - ENO schemes with subcell resolution.pdf:PDF},
  keywords = {ENO, numerics},
}

@Article{Harten1987,
  author   = {Harten, Ami and Engquist, Bjorn and Osher, Stanley and Chakravarthy, Sukumar R.},
  title    = {Uniformly high order accurate essentially non-oscillatory schemes, {III}},
  journal  = j-jcp,
  year     = {1987},
  volume   = {71},
  pages    = {231--303},
  doi      = {10.1016/0021-9991(87)90031-3},
  file     = {:papers/Harten et al. - 1987 - Uniformly high order accurate essentially non-oscillatory schemes, III.pdf:pdf},
  keywords = {ENO, numerics},
}

@Article{Harten1997,
  author   = {Harten, Ami and Engquist, Bjorn and Osher, Stanley and Chakravarthy, Sukumar R.},
  title    = {{Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III}},
  journal  = {Journal of Computational Physics},
  year     = {1997},
  volume   = {131},
  pages    = {3--47},
  issn     = {00219991},
  doi      = {10.1006/jcph.1996.5632},
  file     = {:papers//Harten et al. - 1997 - Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III.pdf:pdf},
  keywords = {ENO,numerics},
  url      = {http://dx.doi.org/10.1006/jcph.1996.5632},
}

@Article{Harten1983,
  author   = {Harten, Ami and Hyman, James M.},
  title    = {Self Adjusting Grid Methods for One-Dimensional Hyperbolic Conservation Laws},
  journal  = j-jcp,
  year     = {1983},
  volume   = {50},
  pages    = {235--269},
  issn     = {00219991},
  doi      = {10.1016/0021-9991(83)90066-9},
  file     = {:papers/1983/Harten - Self Adjusting Grid Methods for One-Dimensional Hyperbolic Conservation Laws.pdf:PDF},
  keywords = {numerics, CFD, gasdynamics},
}

@Article{Harten1983Upstream,
  author   = {Harten, Amiram and Lax, Peter D. and van Leer, Bram},
  title    = {On Upstream Differencing and {Godunov}-Type Schemes for Hyperbolic Conservation Laws},
  journal  = {SIAM Review},
  year     = {1983},
  volume   = {25},
  pages    = {35--61},
  doi      = {10.1137/1025002},
  file     = {:papers/1983/Harten - On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws.pdf:PDF},
  keywords = {numerics, CFD, gasdynamics},
}

@Article{Harten1987a,
  author    = {Harten, Ami and Osher, Stanley},
  title     = {{Uniformly High-Order Accurate Nonoscillatory Schemes. I}},
  journal   = {#j-sinum},
  year      = {1987},
  volume    = {24},
  pages     = {279--309},
  issn      = {0036-1429},
  doi       = {10.1137/0724022},
  file      = {:papers/Harten, Osher - 1987 - Uniformly High-Order Accurate Nonoscillatory Schemes. I.pdf:pdf},
  keywords  = {65 M05,65 M10,ENO,TVD,conservation laws,finite difference scheme,nonoscillatory,numerics},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
  url       = {http://epubs.siam.org/doi/abs/10.1137/0724022},
}

@Article{Harten1986,
  author   = {Harten, Ami and Osher, Stanley and Engquist, Bj\"{o}rn and Chakravarthy, Sukumar R.},
  title    = {{Some results on uniformly high-order accurate essentially nonoscillatory schemes}},
  journal  = {Applied Numerical Mathematics},
  year     = {1986},
  volume   = {2},
  pages    = {347--377},
  issn     = {01689274},
  doi      = {10.1016/0168-9274(86)90039-5},
  file     = {:papers/Harten et al. - 1986 - Some results on uniformly high-order accurate essentially nonoscillatory schemes.pdf:pdf},
  keywords = {ENO,numerics},
  url      = {http://dx.doi.org/10.1016/0168-9274(86)90039-5},
}

@Article{Hatton1994,
  author   = {Hatton, Les and Roberts, A.},
  title    = {How Accurate Is Scientific Software?},
  journal  = {IEEE Transactions on Software Engineering},
  year     = {1994},
  volume   = {20},
  pages    = {785--797},
  issn     = {0098-5589},
  doi      = {10.1109/32.328993},
  file     = {:papers/1994/Hatton - How Accurate Is Scientific Software.pdf:PDF},
  keywords = {scicomp, programming, testing, verification},
}

@Article{He1997,
  author   = {He, Longting},
  title    = {{INSTABILITY ANALYSIS OF CHAPMAN-JOUGUET DETONATION WAVES: A SQUARE-WAVE MODEL APPROXIMATION}},
  journal  = {\& Proceedings 저널· 프로시딩즈| 기술보고서| 해외연구 \ldots},
  year     = {1997},
  file     = {:papers/He - 1997 - INSTABILITY ANALYSIS OF CHAPMAN-JOUGUET DETONATION WAVES A SQUARE-WAVE MODEL APPROXIMATION.pdf:pdf},
  isbn     = {9781563472374},
  keywords = {detonation},
  url      = {http://scholar.google.com/scholar?hl=en\&btnG=Search\&q=intitle:Instability+analysis+of+Chapman-Jouguet+detonation+waves+-+A+square-wave+model+approximation\#0 http://scholar.google.com/scholar?hl=en\&btnG=Search\&q=intitle:INSTABILITY+ANALYSIS+OF+CHAPMAN-JOUGUET+DETONATION+WAVES:+A+SQUARE-WAVE+MODEL+APPROXIMATION\#0},
}

@Article{He1999,
  author   = {He, Longting},
  title    = {On the Two-dimensional Instability of Square-wave Detonations},
  journal  = j-ctm,
  year     = {1999},
  pages    = {37--41},
  doi      = {10.1088/1364-7830/3/2/306},
  file     = {:papers/He - 1999 - On the two-dimensional instability of square-wave detonations.pdf:pdf},
  keywords = {detonation},
}

@PhdThesis{Henrick2008,
  Title                    = {Shock-fitted Numerical Solutions of One- and Two-dimensional Detonation},
  Author                   = {Henrick, Andrew Koldewey},
  School                   = {University of Notre Dame},
  Year                     = {2008},
  Type                     = {PhD Thesis},
  File                     = {:papers/2008/Henrick - Shock-fitted numerical solutions of one- and two-dimensional detonation.pdf:PDF},
  Keywords                 = {detonation, numerics},
  URL                      = {http://etd.nd.edu/ETD-db/theses/available/etd-04172008-123816/}
}

@Article{Henrick2005,
  author   = {Henrick, Andrew K. and Aslam, Tariq D. and Powers, Joseph M.},
  title    = {Mapped Weighted Essentially Non-oscillatory Schemes: {Achieving} Optimal Order Near Critical Points},
  journal  = j-jcp,
  year     = {2005},
  volume   = {207},
  pages    = {542--567},
  issn     = {00219991},
  doi      = {10.1016/j.jcp.2005.01.023},
  file     = {:papers/2005/Henrick - Mapped Weighted Essentially Non-oscillatory Schemes Achieving Optimal Order Near Critical Points.pdf:PDF},
  keywords = {numerics, WENO},
}

@InProceedings{Henrick2005AIAA,
  Title                    = {Highly Accurate Numerical Simulations of Pulsating One-dimensional Detonations},
  Author                   = {Henrick, Andrew K. and Aslam, Tariq D. and Powers, Joseph M.},
  Booktitle                = {43rd AIAA Aerospace Sciences Meeting and Exhibit},
  Year                     = {2005},
  Publisher                = {American Institute of Aeronautics and Astronautics},
  DOI                      = {10.2514/6.2005-1311},
  File                     = {:papers/2005/Henrick - Highly Accurate Numerical Simulations of Pulsating One-dimensional Detonations.pdf:PDF},
  Keywords                 = {detonation, numerics}
}

@Article{HenrickEtAl2006,
  author   = {Henrick, Andrew K. and Aslam, Tariq D. and Powers, Joseph M.},
  title    = {Simulations of Pulsating One-dimensional Detonations with True Fifth Order Accuracy},
  journal  = {Journal of Computational Physics},
  year     = {2006},
  volume   = {213},
  pages    = {311--329},
  issn     = {00219991},
  doi      = {10.1016/j.jcp.2005.08.013},
  file     = {:papers/2006/Henrick - Simulations of Pulsating One-dimensional Detonations with True Fifth Order Accuracy.pdf:PDF},
  keywords = {numerics, detonation},
}

@Article{Hesthaven1999,
  author   = {Hesthaven, J. S. and Dinesen, P. G. and Lynov, J. P.},
  title    = {Spectral Collocation Time-Domain Modeling of Diffractive Optical Elements},
  journal  = {Journal of Computational Physics},
  year     = {1999},
  volume   = {155},
  pages    = {287--306},
  issn     = {0021-9991},
  doi      = {10.1006/jcph.1999.6333},
  file     = {:papers/1999/Hesthaven - Spectral Collocation Time-Domain Modeling of Diffractive Optical Elements.pdf:PDF},
  keywords = {spectral-methods},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999199963337},
}

@Book{Hesthaven2007,
  Title                    = {Spectral methods for time-dependent problems},
  Author                   = {Hesthaven, Jan S. and Gottlieb, Sigal and Gottlieb, David},
  Publisher                = {Cambridge University Press},
  Year                     = {2007},
  Series                   = {Cambridge Monographs on Applied and Computational Mathematics},
  Volume                   = {21},
  DOI                      = {10.1017/CBO9780511618352},
  Keywords                 = {numerics, spectral-methods}
}

@InCollection{Higgins2012,
  author    = {Higgins, Andrew},
  title     = {Steady One-Dimensional Detonations},
  booktitle = {Shock Waves Science and Technology Reference Library, Volume 6: Detonation Dynamics},
  publisher = {Springer},
  year      = {2012},
  editor    = {Zhang, F.},
  pages     = {33--105},
  doi       = {10.1007/978-3-642-22967-1_2},
  file      = {:papers/2012/Higgins - Steady One-Dimensional Detonations.pdf:PDF},
  keywords  = {detonation},
}

@Article{Hindmarsh2005,
  author   = {Hindmarsh, Alan C. and Brown, Peter N. and Grant, Keith E. and Lee, Steven L. and Serban, Radu and Shumaker, Dan E. and Woodward, Carol S.},
  title    = {{SUNDIALS}: {Suite} of Nonlinear and Differential/Algebraic Equation Solvers},
  journal  = j-toms,
  year     = {2005},
  volume   = {31},
  pages    = {363--396},
  doi      = {10.1145/1089014.1089020},
  file     = {:papers/2005/Hindmarsh - SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers.pdf:PDF},
  keywords = {numerics, ODE},
}

@Article{Hinsen2012,
  author     = {Hinsen, Konrad},
  title      = {Managing State},
  journal    = j-cise,
  year       = {2012},
  volume     = {14},
  pages      = {80--86},
  doi        = {10.1109/MCSE.2012.11},
  file       = {:papers/2012/Hinsen - Managing State.pdf:PDF},
  keywords   = {scicomp, programming},
  printed    = {printed},
  readstatus = {read},
}

@Article{Hoare1978,
  author    = {Hoare, C. A. R.},
  title     = {{Communicating sequential processes}},
  journal   = {Communications of the ACM},
  year      = {1978},
  volume    = {21},
  pages     = {666--677},
  issn      = {00010782},
  doi       = {10.1145/359576.359585},
  file      = {:papers/Hoare - 1978 - Communicating sequential processes.pdf:pdf},
  keywords  = {classes,concurrency,conditional critical regions,coroutines,data representations,guarded commands,input,iterative arrays,monitors,multiple entries,multiple exits,nondeterminacy,output,parallel programming,procedures,program structures,programming,programming languages,programming primitives,recursion},
  publisher = {ACM},
  url       = {http://dl.acm.org/citation.cfm?id=359576.359585},
}

@InProceedings{Hoefler2010,
  author    = {Hoefler, Torsten and Schneider, Timo and Lumsdaine, Andrew},
  title     = {{Characterizing the Influence of System Noise on Large-Scale Applications by Simulation}},
  booktitle = {2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis},
  year      = {2010},
  pages     = {1--11},
  publisher = {IEEE},
  doi       = {10.1109/SC.2010.12},
  file      = {:papers/Hoefler, Schneider, Lumsdaine - 2010 - Characterizing the Influence of System Noise on Large-Scale Applications by Simulation.pdf:pdf},
  isbn      = {978-1-4244-7557-5},
  url       = {http://dl.acm.org/citation.cfm?id=1884643.1884668},
}

@Article{Hoffman1953,
  author   = {A. Hoffman and M. Mannos and D. Sokolowsky and N. Wiegmann},
  title    = {Computational Experience in Solving Linear Programs},
  journal  = {SIAM Journal},
  year     = {1953},
  volume   = {1},
  pages    = {17--33},
  doi      = {10.1137/0101002},
  file     = {:papers/1953/Hoffman - Computational Experience in Solving Linear Programs.pdf:PDF},
  groups   = {To Read},
  keywords = {programming, scicomp},
}

@Article{Hu2016,
  author   = {Fuxing Hu and Rong Wang and Xueyong Chen},
  title    = {A Modified Fifth-Order {WENOZ} Method for Hyperbolic Conservation Laws},
  journal  = {Journal of Computational and Applied Mathematics},
  year     = {2016},
  volume   = {303},
  pages    = {56--68},
  doi      = {10.1016/j.cam.2016.02.027},
  file     = {:papers/2016/Hu - A Modified Fifth-Order WENOZ Method for Hyperbolic Conservation Laws.pdf:PDF},
  keywords = {numerics, WENO},
}

@Article{Hueso2009,
  author   = {Jos{\'e} L. Hueso and Eulalia Mart{\'i}nez and Juan R. Torregrosa},
  title    = {Modified Newton’s Method for Systems of Nonlinear Equations with Singular Jacobian},
  journal  = {Journal of Computational and Applied Mathematics},
  year     = {2009},
  volume   = {224},
  pages    = {77--83},
  issn     = {0377-0427},
  doi      = {10.1016/j.cam.2008.04.013},
  file     = {:papers/2009/Hueso - Modified Newton’s Method for Systems of Nonlinear Equations with Singular Jacobian.pdf:PDF},
  keywords = {numerics, nonlinear-equations},
}

@Article{Humpherys2013,
  author   = {Humpherys, Jeffrey and Lyng, Gregory and Zumbrun, Kevin},
  title    = {Stability of Viscous Detonations for {Majda’s} Model},
  journal  = {Physica D: Nonlinear Phenomena},
  year     = {2013},
  volume   = {259},
  pages    = {63--80},
  doi      = {10.1016/j.physd.2013.06.001},
  file     = {:papers/2013/Humpherys - Stability of Viscous Detonations for Majda’s Model.pdf:PDF},
  keywords = {detonation, stability},
}

@Article{Humpherys2010,
  Title                    = {Efficient Numerical Stability Analysis of Detonation Waves In {ZND}},
  Author                   = {Humpherys, Jeffrey and Zumbrun, Kevin},
  Journal                  = j-arxiv,
  Year                     = {2010},
  Archiveprefix            = {arXiv},
  Eprint                   = {1011.0897},
  File                     = {:papers/2010/Humpherys - Efficient Numerical Stability Analysis of Detonation Waves In ZND.pdf:PDF},
  Keywords                 = {detonation, stability, Evans-function},
  Primaryclass             = {math.NA},
  URL                      = {http://arxiv.org/abs/1011.0897}
}

@Article{Humpherys2012,
  author   = {Humpherys, Jeffrey and Zumbrun, Kevin},
  title    = {Efficient Numerical Stability Analysis of Detonation Waves in {ZND}},
  journal  = {Quarterly of Applied Mathematics},
  year     = {2012},
  volume   = {70},
  pages    = {685--703},
  doi      = {10.1090/S0033-569X-2012-01276-X},
  file     = {:papers/2012/Humpherys - Efficient Numerical Stability Analysis of Detonation Waves in ZND.pdf:PDF},
  keywords = {detonation, stability, Evans-function},
}

@Article{Hussaini1985a,
  author   = {Hussaini, M. Yousuff and Kopriva, D. A. and Salas, M. D. and Zang, T. A.},
  title    = {Spectral methods for the Euler equations. I - Fourier methods and shock capturing},
  journal  = {{AIAA} Journal},
  year     = {1985},
  volume   = {23},
  pages    = {64--70},
  doi      = {10.2514/3.8872},
  file     = {:papers/1985/Hussaini - Spectral methods for the Euler equations. I - Fourier methods and shock capturing.pdf:PDF},
  keywords = {numerics, spectral-methods},
  url      = {http://arc.aiaa.org/doi/10.2514/3.8872},
}

@Article{Hussaini1985b,
  author   = {Hussaini, M. Yousuff and Kopriva, D. A. and Salas, M. D. and Zang, T. A.},
  title    = {Spectral methods for the Euler equations. II - Chebyshev methods and shock fitting},
  journal  = {{AIAA} journal},
  year     = {1985},
  volume   = {23},
  pages    = {234--240},
  doi      = {10.2514/3.8900},
  file     = {:papers/1985/Hussaini - Spectral methods for the Euler equations. II - Chebyshev methods and shock fitting.pdf:PDF},
  keywords = {spectral-methods},
  url      = {http://dx.doi.org/10.2514/3.8900},
}

@Article{Hwang2000,
  author   = {Hwang, P. and Fedkiw, R. P. and Merriman, B. and Aslam, T. D. and Karagozian, A. R. and Osher, S. J.},
  title    = {Numerical Resolution of Pulsating Detonation Waves},
  journal  = j-ctm,
  year     = {2000},
  volume   = {4},
  pages    = {217--240},
  doi      = {10.1088/1364-7830/4/3/301},
  file     = {:papers/2000/Hwang - Numerical resolution of pulsating detonation waves.pdf:PDF},
  keywords = {detonation, numerics},
}

@Article{Ince2012,
  author   = {Ince, Darrel C. and Hatton, Leslie and Graham-Cumming, John},
  title    = {The Case for Open Computer Programs},
  journal  = {Nature},
  year     = {2012},
  volume   = {482},
  pages    = {485--488},
  doi      = {10.1038/nature10836},
  file     = {:papers/2012/Ince - The Case for Open Computer Programs.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@TechReport{Iott1985,
  author      = {Iott, Jocelyn and Haftka, Raphael T. and Adelman Howard M.},
  title       = {Selecting Step Sizes in Sensitivity Analysis by Finite Differences},
  institution = {National Aeronautics and Space Administration},
  year        = {1985},
  type        = {NASA Technical Memorandum},
  file        = {:papers/1985/Iott - Selecting Step Sizes in Sensitivity Analysis by Finite Differences.pdf:PDF},
  keywords    = {numerics, scicomp},
  url         = {http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19850025225.pdf},
}

@Book{Iserles2008,
  Title                    = {{A First Course in the Numerical Analysis of Differential Equations}},
  Author                   = {Iserles, Arieh},
  Publisher                = {Cambridge University Press},
  Year                     = {2008},
  Address                  = {Cambridge},
  DOI                      = {10.1017/CBO9780511995569},
  ISBN                     = {9780511995569},
  Keywords                 = {numerics},
  URL                      = {/ebook.jsf?bid=CBO9780511995569}
}

@Book{Ixaru2004,
  Title                    = {{Exponential Fitting}},
  Author                   = {Ixaru, Liviu Gr. and {Vanden Berghe}, Guido},
  Publisher                = {Springer Netherlands},
  Year                     = {2004},
  Address                  = {Dordrecht},
  Series                   = {Mathematics and Its Applications},
  Volume                   = {568},
  DOI                      = {10.1007/978-1-4020-2100-8},
  ISBN                     = {978-90-481-6590-2},
  URL                      = {http://link.springer.com/10.1007/978-1-4020-2100-8}
}

@Article{Jackson1991,
  author   = {Jackson, Richard H. F. and Boggs, Paul T. and Nash, Stephen G. and Powell, Susan},
  title    = {Guidelines for Reporting Results of Computational Experiments. {Report} of the Ad Hoc Committee},
  journal  = {Mathematical Programming},
  year     = {1991},
  volume   = {49},
  pages    = {413--425},
  issn     = {0025-5610},
  doi      = {10.1007/BF01588801},
  file     = {:papers/1991/Jackson - Guidelines for Reporting Results of Computational Experiments. Report of the Ad Hoc Committee.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@Book{Jeffers2013,
  Title                    = {Intel {Xeon Phi} Coprocessor High Performance Programming},
  Author                   = {Jeffers, Jim and Reinders, James},
  Publisher                = {Morgan Kaufmann},
  Year                     = {2013},
  Address                  = {Boston},
  DOI                      = {10.1016/B978-0-12-410414-3.00017-7},
  Keywords                 = {HPC, parallel, programming},
  Pages                    = {432}
}

@Article{Ji2010,
  author   = {Ji, Hua and Lien, Fue-Sang and Yee, Eugene},
  title    = {{A new adaptive mesh refinement data structure with an application to detonation}},
  journal  = {Journal of Computational Physics},
  year     = {2010},
  volume   = {229},
  pages    = {8981--8993},
  issn     = {00219991},
  doi      = {10.1016/j.jcp.2010.08.023},
  file     = {:papers/Ji, Lien, Yee - 2010 - A new adaptive mesh refinement data structure with an application to detonation.pdf:pdf},
  keywords = {adaptive mesh refinement,derefinement,inviscid compressible flow},
  url      = {http://linkinghub.elsevier.com/retrieve/pii/S0021999110004705},
}

@Article{Jia2015,
  author    = {Jia, Feilin and Gao, Zhen and Don, Wai Sun},
  title     = {A Spectral Study on the Dissipation and Dispersion of the {WENO} Schemes},
  journal   = {Journal of Scientific Computing},
  year      = {2015},
  volume    = {63},
  pages     = {49--77},
  issn      = {0885-7474},
  doi       = {10.1007/s10915-014-9886-1},
  file      = {:papers/2015/Jia - A Spectral Study on the Dissipation and Dispersion of the WENO Schemes.pdf:PDF},
  keywords  = {numerics, WENO, WENO-JS, WENO-Z},
  language  = {English},
  publisher = {Springer US},
}

@Article{JiangPeng2000,
  author   = {Jiang, Guang-Shan and Peng, Danping},
  title    = {Weighted {ENO} Schemes for {Hamilton--Jacobi} Equations},
  journal  = j-sisc,
  year     = {2000},
  volume   = {21},
  pages    = {2126--2143},
  doi      = {10.1137/S106482759732455X},
  file     = {:papers/2000/Jiang - Weighted ENO Schemes for Hamilton-Jacobi Equations.pdf:PDF},
  keywords = {Hamilton--Jacobi, WENO, WENOHJ, numerics},
}

@Article{JiangShu1996WENO,
  author   = {Jiang, Guang-Shan and Shu, Chi-Wang},
  title    = {Efficient Implementation of Weighted {ENO} Schemes},
  journal  = j-jcp,
  year     = {1996},
  volume   = {126},
  pages    = {202--228},
  doi      = {10.1006/jcph.1996.0130},
  file     = {:papers/1996/Jiang - Efficient Implementation of Weighted ENO Schemes.pdf:PDF},
  keywords = {numerics, WENO},
}

@Article{Johnson1974,
  author    = {Johnson, J. N.},
  title     = {{Kinematic Waves and Group Velocity: Applications to Natural and Man-Made Environment}},
  journal   = {American Journal of Physics},
  year      = {1974},
  volume    = {42},
  pages     = {681},
  issn      = {00029505},
  doi       = {10.1119/1.1987805},
  file      = {:papers/Johnson - 1974 - Kinematic Waves and Group Velocity Applications to Natural and Man-Made Environment.pdf:PDF},
  publisher = {American Association of Physics Teachers},
  url       = {http://scitation.aip.org/content/aapt/journal/ajp/42/8/10.1119/1.1987805},
}

@Article{Johnson1988,
  author   = {Johnson, Ralph E. and Foote, Brian},
  title    = {Designing Reusable Classes},
  journal  = {Journal of Object-Oriented Programming},
  year     = {1988},
  volume   = {1},
  pages    = {22--35},
  file     = {:papers/1988/Johnson - Designing Reusable Classes.pdf:PDF},
  keywords = {programming},
  url      = {http://www.laputan.org/drc/drc.html},
}

@Article{Jouguet1905,
  Title                    = {Sur la propagation des r{\'e}actions chimiques dans les gaz [{On} the Propagation of Chemical Reactions in Gases]},
  Author                   = {Jouguet, Emile},
  Journal                  = {Journal des Math{\'e}matiques Pures et Appliqu{\'e}es},
  Year                     = {1905},
  Pages                    = {347--425},
  Volume                   = {6},
  Keywords                 = {detonation}
}

@Article{Kahan2006,
  Title                    = {How Futile are Mindless Assessments of Roundoff in Floating-Point Computation?},
  Author                   = {Kahan, William},
  Journal                  = {progress), http://www. cs. berkeley. edu/: \_wkahan/Mindless.pdf},
  Year                     = {2006},
  File                     = {:papers/2006/Kahan - How Futile are Mindless Assessments of Roundoff in Floating-Point Computation.pdf:PDF},
  Keywords                 = {numerics, testing, floating-point}
}

@TechReport{Kamm2009,
  author      = {Kamm, James R. and Brock, Jerry S. and Brandon, Scott T. and Cotrell, David L. and Johnson, Bryan and Knupp, Patrick and Rider, William J. and Trucano, Timothy G. and Weirs, V. Gregory},
  title       = {Enhanced Verification Test Suite for Physics Simulation Codes},
  institution = {Los Alamos National Laboratory},
  year        = {2009},
  type        = {LLNL-TR-411291},
  keywords    = {scicomp, verification},
  url         = {https://e-reports-ext.llnl.gov/pdf/366425.pdf},
}

@Article{Kang2010,
  author   = {Kang, Lei and Lee, ChunHian},
  title    = {{A non-flux-splitting WENO scheme with low numerical dissipation}},
  journal  = {Science China Technological Sciences},
  year     = {2010},
  volume   = {53},
  pages    = {3365--3378},
  issn     = {1674-7321},
  doi      = {10.1007/s11431-010-4157-3},
  file     = {:papers/Kang, Lee - 2010 - A non-flux-splitting WENO scheme with low numerical dissipation.pdf:PDF},
  keywords = {WENO,numerics},
  url      = {http://link.springer.com/10.1007/s11431-010-4157-3},
}

@Article{Kao2008,
  Title                    = {Numerical Solution Methods for Control Volume Explosions and ZND Detonation Structure},
  Author                   = {Kao, S. and Shepherd, J. E.},
  Year                     = {2008},
  Pages                    = {1--46},
  File                     = {:papers/2008/Kao - Numerical Solution Methods for Control Volume Explosions and ZND Detonation Structure.pdf:PDF},
  Keywords                 = {detonation}
}

@Article{Kapitula2004,
  author   = {Kapitula, Todd and Sandstede, Bj{\"o}rn},
  title    = {Eigenvalues and Resonances Using the {Evans} Function},
  journal  = {Discrete and Continuous Dynamical Systems Series A},
  year     = {2004},
  volume   = {10},
  pages    = {857--869},
  doi      = {10.3934/dcds.2004.10.857},
  file     = {:papers/2004/Kapitula - Eigenvalues and Resonances Using the Evans Function.pdf:PDF},
  keywords = {stability, Evans-function},
}

@PhdThesis{Kasimov2004,
  author   = {Kasimov, A. R.},
  title    = {Theory of instability and nonlinear evolution of self-sustained detonation waves},
  school   = {University of Illinois at Urbana-Champaign},
  year     = {2004},
  adsnote  = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl   = {http://adsabs.harvard.edu/abs/2004PhDT.......257K},
  keywords = {detonation},
  url      = {http://hdl.handle.net/2142/87720},
}

@Article{Kasimov2013,
  author    = {Kasimov, Aslan R. and Faria, Luiz M. and Rosales, Rodolfo R.},
  title     = {Model for Shock Wave Chaos},
  journal   = {Physical Review Letters},
  year      = {2013},
  volume    = {110},
  pages     = {104104},
  doi       = {10.1103/PhysRevLett.110.104104},
  file      = {:papers/2013/Kasimov - Model for Shock Wave Chaos.pdf:PDF},
  issue     = {10},
  keywords  = {detonation, stability},
  numpages  = {5},
  publisher = {American Physical Society},
}

@Article{Kasimov2014,
  author    = {Kasimov, Aslan R. and Korneev, Svyatoslav V.},
  title     = {Detonation in Supersonic Radial Outflow},
  journal   = {Journal of Fluid Mechanics},
  year      = {2014},
  volume    = {760},
  pages     = {313--341},
  issn      = {0022-1120},
  doi       = {10.1017/jfm.2014.598},
  file      = {:papers/2014/Kasimov - Detonation in Supersonic Radial Outflow.pdf:PDF},
  keywords  = {detonation, numerics},
  language  = {English},
  publisher = {Cambridge University Press},
}

@Article{Kasimov2002,
  author   = {Kasimov, Aslan R. and Stewart, D. Scott},
  title    = {Spinning Instability of Gaseous Detonations},
  journal  = j-jfm,
  year     = {2002},
  volume   = {466},
  pages    = {179--203},
  doi      = {10.1017/S0022112002001192},
  file     = {:papers/2002/Kasimov - Spinning Instability of Gaseous Detonations.pdf:PDF},
  keywords = {detonation, stability},
}

@Article{KasimovStewart2004,
  author   = {Kasimov, Aslan R. and Stewart, D. Scott},
  title    = {On the Dynamics of Self-sustained One-dimensional Detonations: {A} Numerical Study in the Shock-attached Frame},
  journal  = {Physics of Fluids},
  year     = {2004},
  volume   = {16},
  pages    = {3566--3578},
  doi      = {10.1063/1.1776531},
  file     = {:papers/2004/Kasimov - On the dynamics of self-sustained one-dimensional detonations A numerical study in the shock-attached frame.pdf:PDF},
  keywords = {detonation, numerics, stability},
}

@Article{KasimovStewart2005,
  author   = {Kasimov, A. R. and Stewart, D. Scott},
  title    = {Asymptotic theory of evolution and failure of self-sustained detonations},
  journal  = j-jfm,
  year     = {2005},
  volume   = {525},
  pages    = {161--192},
  issn     = {1469-7645},
  doi      = {10.1017/S0022112004002599},
  file     = {:papers/2005/Kasimov - Asymptotic theory of evolution and failure of self-sustained detonations.pdf:PDF},
  keywords = {detonation, stability, analytics},
  numpages = {32},
}

@Misc{Kee,
  Title                    = {{CHEMKIN-III: A FORTRAN CHEMICAL KINETICS PACKAGE FOR THE ANALYSIS OF GASPHASE CHEMICAL AND PLASMA KINETICS}},
  Author                   = {Kee, Robert J. and Rupley, Fran M. and Meeks, Ellen and Miller, James A.},
  Year                     = {1996},
  File                     = {:papers/Kee et al. - 1996 - CHEMKIN-III A FORTRAN CHEMICAL KINETICS PACKAGE FOR THE ANALYSIS OF GASPHASE CHEMICAL AND PLASMA KINETICS.pdf:PDF},
  URL                      = {http://coewww.rutgers.edu/classes/mae/mae670/files/chemkin\_iii.pdf},
  Urldate                  = {08/06/13}
}

@Article{Keshav2007,
  author    = {Keshav, S.},
  title     = {{How to read a paper}},
  journal   = {ACM SIGCOMM Computer Communication Review},
  year      = {2007},
  volume    = {37},
  pages     = {83},
  issn      = {01464833},
  doi       = {10.1145/1273445.1273458},
  file      = {:papers/Keshav - 2007 - How to read a paper.pdf:pdf},
  keywords  = {hints,paper,reading},
  publisher = {ACM},
  url       = {http://dl.acm.org/citation.cfm?id=1273445.1273458},
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@Article{Ketcheson2008,
  author    = {Ketcheson, David I.},
  title     = {{Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations}},
  journal   = {SIAM Journal on Scientific Computing},
  year      = {2008},
  volume    = {30},
  pages     = {2113--2136},
  issn      = {1064-8275},
  doi       = {10.1137/07070485X},
  file      = {:papers/Ketcheson - 2008 - Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations.pdf:pdf},
  keywords  = {Runge--Kutta,numerics},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
  url       = {http://epubs.siam.org/doi/abs/10.1137/07070485X},
}

@Article{Ketcheson2012,
  author   = {Ketcheson, David I. and Mandli, Kyle T. and Ahmadia, Aron J. and Alghamdi, Amal and de Luna, Manuel Quezada and Parsani, Matteo and Knepley, Matthew G. and Emmett, Matthew},
  title    = {{PyClaw}: {Accessible}, Extensible, Scalable Tools for Wave Propagation Problems},
  journal  = j-sisc,
  year     = {2012},
  volume   = {34},
  pages    = {C210--C231},
  doi      = {10.1137/110856976},
  file     = {:papers/2012/Ketcheson - PyClaw Accessible, Extensible, Scalable Tools for Wave Propagation Problems.pdf:PDF},
  keywords = {numerics, scicomp, reproducibility},
}

@Article{Ketcheson2013,
  author    = {Ketcheson, David I. and Parsani, Matteo and LeVeque, Randall J.},
  title     = {High-Order Wave Propagation Algorithms for Hyperbolic Systems},
  journal   = j-sisc,
  year      = {2013},
  volume    = {35},
  pages     = {A351-A377},
  doi       = {10.1137/110830320},
  file      = {:papers/2013/Ketcheson - High-Order Wave Propagation Algorithms for Hyperbolic Systems.pdf:PDF},
  keywords  = {numerics, WENO, CFD},
  publisher = {Society for Industrial and Applied Mathematics},
}

@Article{Ketcheson2005,
  author   = {Ketcheson, David I. and Robinson, Allen C.},
  title    = {{On the practical importance of the SSP property for Runge-Kutta time integrators for some common Godunov-type schemes}},
  journal  = {International Journal for Numerical Methods in Fluids},
  year     = {2005},
  volume   = {48},
  pages    = {271--303},
  issn     = {0271-2091},
  doi      = {10.1002/fld.837},
  file     = {:papers/Ketcheson, Robinson - 2005 - On the practical importance of the SSP property for Runge-Kutta time integrators for some common Godunov-ty.pdf:PDF},
  keywords = {Runge--Kutta,numerics},
  url      = {http://doi.wiley.com/10.1002/fld.837},
}

@Article{Keyes2013,
  author     = {Keyes, David E and McInnes, Lois C and Woodward, Carol and Gropp, William and Myra, Eric and Pernice, Michael and Bell, John and Brown, Jed and Clo, Alain and Connors, Jeffrey and Constantinescu, Emil and Estep, Don and Evans, Kate and Farhat, Charbel and Hakim, Ammar and Hammond, Glenn and Hansen, Glen and Hill, Judith and Isaac, Tobin and Jiao, Xiangmin and Jordan, Kirk and Kaushik, Dinesh and Kaxiras, Efthimios and Koniges, Alice and Lee, Kihwan and Lott, Aaron and Lu, Qiming and Magerlein, John and Maxwell, Reed and McCourt, Michael and Mehl, Miriam and Pawlowski, Roger and Randles, Amanda P and Reynolds, Daniel and Rivière, Beatrice and Rüde, Ulrich and Scheibe, Tim and Shadid, John and Sheehan, Brendan and Shephard, Mark and Siegel, Andrew and Smith, Barry and Tang, Xianzhu and Wilson, Cian and Wohlmuth, Barbara},
  title      = {Multiphysics Simulations: {C}hallenges and Opportunities},
  journal    = {International Journal of High Performance Computing Applications},
  year       = {2013},
  volume     = {27},
  pages      = {4--83},
  doi        = {10.1177/1094342012468181},
  file       = {:papers/2013/Keyes - Multiphysics Simulations Challenges and Opportunities.pdf:PDF},
  keywords   = {scicomp},
  readstatus = {read},
}

@Article{Khokhlov1998,
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  title    = {Fully Threaded Tree Algorithms for Adaptive Refinement Fluid Dynamics Simulations},
  journal  = {Journal of Computational Physics},
  year     = {1998},
  volume   = {143},
  pages    = {519--543},
  issn     = {00219991},
  doi      = {10.1006/jcph.1998.9998},
  file     = {:papers/1998/Khokhlov - Fully Threaded Tree Algorithms for Adaptive Refinement Fluid Dynamics Simulations.pdf:PDF},
  keywords = {amr, numerics},
  url      = {http://dx.doi.org/10.1006/jcph.1998.9998},
}

@Article{Kim2015,
  Title                    = {Modified Non-linear Weights for Fifth-Order Weighted Essentially Non-oscillatory Schemes},
  Author                   = {Kim, Chang Ho and Ha, Youngsoo and Yoon, Jungho},
  Journal                  = {Journal of Scientific Computing},
  Year                     = {2015},
  Pages                    = {1--25},
  DOI                      = {10.1007/s10915-015-0079-3},
  File                     = {:papers/2015/Kim - Modified Non-linear Weights for Fifth-Order Weighted Essentially Non-oscillatory Schemes.pdf:PDF},
  ISSN                     = {0885-7474},
  Keywords                 = {numerics, WENO}
}

@Article{Kirkwood1954,
  author   = {Kirkwood, John G. and Wood, William W.},
  title    = {Structure of a Steady-State Plane Detonation Wave with Finite Reaction Rate},
  journal  = {The Journal of Chemical Physics},
  year     = {1954},
  volume   = {22},
  pages    = {1915--1919},
  issn     = {00219606},
  doi      = {10.1063/1.1739939},
  file     = {:papers/1954/Kirkwood - Structure of a Steady-State Plane Detonation Wave with Finite Reaction Rate.pdf:PDF},
  keywords = {detonation},
}

@Article{Knoll2004,
  author   = {Knoll, D. A. and Keyes, D. E.},
  title    = {Jacobian-free {N}ewton–{K}rylov methods: a survey of approaches and applications},
  journal  = {Journal of Computational Physics},
  year     = {2004},
  volume   = {193},
  pages    = {357--397},
  issn     = {0021-9991},
  doi      = {10.1016/j.jcp.2003.08.010},
  file     = {:papers/2004/Knoll - Jacobian-free Newton–Krylov methods a survey of approaches and applications.pdf:PDF},
  keywords = {numerics, linear-algebra},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999103004340},
}

@Article{Kopriva1991,
  author   = {Kopriva, David A.},
  title    = {Multidomain spectral solution of the Euler gas-dynamics equations},
  journal  = {Journal of Computational Physics},
  year     = {1991},
  volume   = {96},
  pages    = {428--450},
  issn     = {0021-9991},
  doi      = {http://dx.doi.org/10.1016/0021-9991(91)90244-F},
  file     = {:papers/1991/Kopriva - Multidomain spectral solution of the Euler gas-dynamics equations .pdf:PDF},
  keywords = {numerics, CFD, spectralmetho},
  url      = {http://www.sciencedirect.com/science/article/pii/002199919190244F},
}

@Article{Kosloff1993,
  author   = {Kosloff, Dan and Tal-Ezer, Hillel},
  title    = {A Modified Chebyshev Pseudospectral Method with an $O(N^{-1})$ Time Step Restriction},
  journal  = {Journal of Computational Physics},
  year     = {1993},
  volume   = {104},
  pages    = {457--469},
  issn     = {0021-9991},
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  file     = {:papers/1993/Kosloff - A Modified Chebyshev Pseudospectral Method with an O(N^-1) Time Step Restriction.pdf:PDF},
  keywords = {numerics, spectral-methods},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999183710442},
}

@Book{Kovvali2011,
  title     = {Theory and Applications of Gaussian Quadrature Methods},
  publisher = {Morgan \& Claypool Publishers},
  year      = {2011},
  author    = {Kovvali, Narayan},
  volume    = {3},
  series    = {Synthesis Lectures on Algorithms and Software in Engineering},
  edition   = {First},
  doi       = {10.2200/S00366ED1V01Y201105ASE008},
  eprint    = {http://dx.doi.org/10.2200/S00366ED1V01Y201105ASE008},
  journal   = {Synthesis Lectures on Algorithms and Software in Engineering},
  keywords  = {numerics},
  pages     = {1-65},
  url       = {http://www.morganclaypool.com/doi/abs/10.2200/S00366ED1V01Y201105ASE008},
}

@Article{Kramer2007,
  author   = {R. M. J. Kramer and C. Pantano and D. I. Pullin},
  title    = {A Class of Energy Stable, High-order Finite-difference Interface Schemes Suitable for Adaptive Mesh Refinement of Hyperbolic Problems},
  journal  = j-jcp,
  year     = {2007},
  volume   = {226},
  pages    = {1458---1484},
  doi      = {10.1016/j.jcp.2007.05.027},
  file     = {:papers/2007/Kramer - A Class of Energy Stable, High-order Finite-difference Interface Schemes Suitable for Adaptive Mesh Refinement of Hyperbolic Problems.pdf:PDF},
  keywords = {numerics, amr},
}

@Article{Krauskopf2005,
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  title     = {A survey of methods for computing (un)stable manifolds of vector fields},
  journal   = {International Journal of Bifurcation and Chaos},
  year      = {2005},
  volume    = {15},
  pages     = {763--791},
  issn      = {0218-1274},
  doi       = {10.1142/S0218127405012533},
  file      = {:papers/2005/Krauskopf - A survey of methods for computing (un)stable manifolds of vector fields.pdf:PDF},
  keywords  = {Lorenz equations,ODE,Stable and unstable manifolds,numerical methods,numerics},
  language  = {en},
  publisher = {World Scientific Publishing Company},
  url       = {http://www.worldscientific.com/doi/abs/10.1142/S0218127405012533},
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@Article{Kreiss1992,
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  year     = {1992},
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  pages    = {640--646},
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  keywords = {numerics, stability, Runge--Kutta},
}

@InProceedings{Kunovsky2009,
  Title                    = {Methodology of the Taylor series based computations},
  Author                   = {Kunovsky, Jir{\'\i} and Drozdov{\'a}, Martina and Kopriva, Jan and Pindryc, Milan},
  Booktitle                = {Modelling \& Simulation, 2009. AMS'09. Third Asia International Conference on},
  Year                     = {2009},
  Organization             = {IEEE},
  Pages                    = {206--211},
  File                     = {:papers/2009/Kunovsky - Methodology of the Taylor series based computations.pdf:PDF}
}

@Book{Law2006,
  Title                    = {{Combustion physics}},
  Author                   = {Law, Chung K.},
  Publisher                = {Cambridge University Press},
  Year                     = {2006},
  Address                  = {New York},
  ISBN                     = {9780521870528},
  Keywords                 = {combustion},
  Pages                    = {722}
}

@Article{Lawson1979,
  author    = {Lawson, C. L. and Hanson, R. J. and Kincaid, D. R. and Krogh, F. T.},
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  pages     = {308--323},
  issn      = {0098-3500},
  doi       = {10.1145/355841.355847},
  file      = {:papers/1979/Lawson - Basic Linear Algebra Subprograms for Fortran Usage.pdf:PDF},
  keywords  = {scicomp, numerics, linear-algebra},
  publisher = {Association for Computing Machinery (ACM)},
  url       = {http://dx.doi.org/10.1145/355841.355847},
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@Article{Lax1960,
  author   = {Lax, Peter D. and Wendroff, B},
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  doi      = {10.1002/cpa.3160130205},
  file     = {:papers/1960/Lax - Systems of Conservation Laws.pdf:PDF;:papers/1960/Lax - Systems of Conservation Laws Tech Report.pdf:PDF},
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@Article{Lee1993,
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  title    = {Guidelines for Reporting Computational Results in {IIE} Transactions},
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  pages    = {121--123},
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  keywords = {scicomp, reproducibility},
}

@Article{LeeStewart1990,
  author   = {Lee, H. I. and Stewart, D. S.},
  title    = {Calculation of Linear Detonation Instability: One-dimensional Instability of Plane Detonation},
  journal  = j-jfm,
  year     = {1990},
  volume   = {216},
  pages    = {103--132},
  doi      = {10.1017/S0022112090000362},
  file     = {:papers/1990/Lee - Calculation of Linear Detonation Instability One-dimensional Instability of Plane Detonation.pdf:PDF},
  keywords = {analytics, detonation, numerics, stability},
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@Book{Lee2008,
  title     = {The Detonation Phenomenon},
  publisher = {Cambridge University Press},
  year      = {2008},
  author    = {Lee, John H. S.},
  doi       = {10.1017/CBO9780511754708},
  keywords  = {detonation},
}

@Article{VanLeer1973,
  Title                    = {{Towards the ultimate conservative difference scheme I. The quest of monotonicity}},
  Author                   = {van Leer, Bram},
  Journal                  = {Lecture Notes in Physics},
  Year                     = {1973},
  Pages                    = {163--168},
  Volume                   = {18},
  Address                  = {Berlin, Heidelberg},
  DOI                      = {10.1007/BFb0118673},
  Editor                   = {Cabannes, Henri and Temam, Roger},
  File                     = {:papers/van Leer - 1973 - Towards the ultimate conservative difference scheme I. The quest of monotonicity.pdf:PDF},
  ISBN                     = {978-3-540-06170-0},
  Keywords                 = {numerics},
  Publisher                = {Springer Berlin Heidelberg},
  Series                   = {Lecture Notes in Physics},
  URL                      = {http://www.springerlink.com/index/10.1007/BFb0118659}
}

@Article{VanLeer1974,
  author   = {van Leer, Bram},
  title    = {{Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme}},
  journal  = {Journal of Computational Physics},
  year     = {1974},
  volume   = {14},
  pages    = {361--370},
  file     = {:papers/van Leer - 1974 - Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order sche.pdf:PDF},
  keywords = {numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/0021999174900199},
}

@Article{VanLeer1979,
  author   = {van Leer, Bram},
  title    = {{Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method}},
  journal  = {Journal of Computational Physics},
  year     = {1979},
  volume   = {32},
  pages    = {101--136},
  file     = {:papers/van Leer - 1979 - Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method.pdf:pdf},
  keywords = {numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/0021999179901451},
}

@Article{Leer1986,
  author   = {van Leer, Bram},
  title    = {{On numerical dispersion by upwind differencing}},
  journal  = {Applied Numerical Mathematics},
  year     = {1986},
  volume   = {2},
  pages    = {379--384},
  issn     = {01689274},
  doi      = {10.1016/0168-9274(86)90040-1},
  file     = {:papers/Leer - 1986 - On numerical dispersion by upwind differencing.pdf:pdf},
  keywords = {numerics},
  url      = {http://dx.doi.org/10.1016/0168-9274(86)90040-1},
}

@Article{Lele1992,
  author   = {Lele, Sanjiva K.},
  title    = {Compact Finite Difference Schemes with Spectral-like Resolution},
  journal  = {Journal of Computational Physics},
  year     = {1992},
  volume   = {103},
  pages    = {16--42},
  issn     = {0021-9991},
  doi      = {http://dx.doi.org/10.1016/0021-9991(92)90324-R},
  file     = {:papers/1992/Lele - Compact finite difference schemes with spectral-like resolution .pdf:PDF},
  keywords = {numerics, compact-schemes},
  url      = {http://www.sciencedirect.com/science/article/pii/002199919290324R},
}

@Article{Leung2010,
  author   = {Leung, C. and Radulescu, Matei I. and Sharpe, Gary J.},
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  journal  = {Physics of Fluids (1994-present)},
  year     = {2010},
  volume   = {22},
  pages    = {126101},
  doi      = {http://dx.doi.org/10.1063/1.3520188},
  file     = {:papers/2010/Leung - Characteristics Analysis of the One-dimensional Pulsating Dynamics of Chain-branching Detonations.pdf:PDF},
  keywords = {detonation, numerics},
}

@Book{LeVeque2007,
  Title                    = {Finite Difference Methods for Ordinary and Partial Differential Equations},
  Author                   = {LeVeque, Randall J.},
  Publisher                = {Society for Industrial and Applied Mathematics},
  Year                     = {2007},
  DOI                      = {10.1137/1.9780898717839},
  Keywords                 = {numerics}
}

@Article{LeVeque2009,
  author     = {LeVeque, Randall J.},
  title      = {Python Tools for Reproducible Research on Hyperbolic Problems},
  journal    = j-cise,
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  volume     = {11},
  pages      = {19--27},
  issn       = {1521-9615},
  doi        = {10.1109/MCSE.2009.13},
  file       = {:papers/LeVeque - 2009 - Python Tools for Reproducible Research on Hyperbolic Problems.pdf:PDF},
  keywords   = {reproducibility, scicomp},
  readstatus = {read},
  shorttitle = {Computing in Science \& Engineering},
}

@Article{Leveque1990,
  author   = {Leveque, R. J. and Yee, H. C.},
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  volume   = {86},
  pages    = {187--210},
  doi      = {10.1016/0021-9991(90)90097-K},
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  keywords = {numerics, gasdynamics, stiffness},
}

@Article{Lie1993,
  author   = {Lie, Ivar},
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  journal  = {{SIAM} Journal on Scientific Computing},
  year     = {1993},
  volume   = {14},
  pages    = {1194--1213},
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  file     = {:papers/1993/Lie - Using Implicit ODE Methods with Iterative Linear Equation Solvers in Spectral Methods.pdf:PDF},
  keywords = {numerics, spectral-methods},
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@Article{Lieberherr1989,
  author   = {Lieberherr, K. J. and Holland, I. M.},
  title    = {Assuring Good Style for Object-Oriented Programs},
  journal  = {IEEE Software},
  year     = {1989},
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  pages    = {38--48},
  doi      = {10.1109/52.35588},
  file     = {:papers/1989/Lieberherr - Assuring Good Style for Object-Oriented Programs preprint.pdf:PDF;:papers/1989/Lieberherr - Assuring Good Style for Object-Oriented Programs.pdf:PDF},
  keywords = {programming},
}

@Article{Liska2003,
  author   = {Liska, Richard and Wendroff, Burton},
  title    = {Comparison of Several Difference Schemes on {1D} and {2D} Test Problems for the {Euler} Equations},
  journal  = j-sisc,
  year     = {2003},
  volume   = {25},
  pages    = {995--1017},
  doi      = {10.1137/S1064827502402120},
  file     = {:papers/2003/Liska - Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations.pdf:PDF},
  keywords = {numerics, gasdynamics, CFD},
}

@InProceedings{Liskov1987,
  Title                    = {Data Abstraction and Hierarchy},
  Author                   = {Liskov, Barbara},
  Booktitle                = {OOPSLA '87 Addendum to the Proceedings},
  Year                     = {1987},
  Address                  = {New York, NY, USA},
  Pages                    = {17--34},
  Publisher                = {ACM},
  DOI                      = {10.1145/62138.62141},
  File                     = {:papers/1987/Liskov - Data Abstraction and Hierarchy.pdf:PDF}
}

@Article{Liskov1994,
  author    = {Liskov, Barbara H. and Wing, Jeannette M.},
  title     = {{A behavioral notion of subtyping}},
  journal   = {ACM Transactions on Programming Languages and Systems},
  year      = {1994},
  volume    = {16},
  pages     = {1811--1841},
  issn      = {01640925},
  doi       = {10.1145/197320.197383},
  file      = {:papers/1994/Liskov - A behavioral notion of subtyping.pdf:PDF},
  keywords  = {programming},
  publisher = {ACM},
}

@TechReport{Liskov1999,
  author      = {Liskov, Barbara H. and Wing, Jeannette M.},
  title       = {Behavioral Subtyping Using Invariants and Constraints},
  institution = {Carnegie Mellon University},
  year        = {1999},
  file        = {:papers/1999/Liskov - Behavioral Subtyping Using Invariants and Constraints.pdf:PDF},
  keywords    = {programming},
  url         = {http://reports-archive.adm.cs.cmu.edu/anon/1999/abstracts/99-156.html},
}

@Article{Liu2013,
  Title                    = {A new class of central compact schemes with spectral-like resolution I: Linear schemes},
  Author                   = {Liu, Xuliang and Zhang, Shuhai and Zhang, Hanxin and Shu, Chi-Wang},
  Journal                  = {Journal of Computational Physics},
  Year                     = {2013},
  Pages                    = {235--256},
  Volume                   = {248},
  DOI                      = {http://dx.doi.org/10.1016/j.jcp.2013.04.014},
  File                     = {:papers/2013/Liu - A new class of central compact schemes with spectral-like resolution I Linear schemes .pdf:PDF},
  ISSN                     = {0021-9991},
  Keywords                 = {numerics, CFD, compact-schemes},
  URL                      = {http://www.sciencedirect.com/science/article/pii/S0021999113002635}
}

@Article{Liu2015,
  author   = {Liu, Xuliang and Zhang,Shuhai and Zhang, Hanxin and Shu, Chi-Wang},
  title    = {A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes},
  journal  = {Journal of Computational Physics},
  year     = {2015},
  volume   = {284},
  pages    = {133--154},
  issn     = {0021-9991},
  doi      = {http://dx.doi.org/10.1016/j.jcp.2014.12.027},
  file     = {:papers/2015/Liu - A new class of central compact schemes with spectral-like resolution II Hybrid weighted nonlinear schemes .pdf:PDF},
  keywords = {numerics, CFD, compact-schemes},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999114008444},
}

@Article{Liu1994,
  author   = {Liu, Xu-Dong and Osher, Stanley and Chan, Tony},
  title    = {{Weighted Essentially Non-oscillatory Schemes}},
  journal  = {Journal of Computational Physics},
  year     = {1994},
  volume   = {115},
  pages    = {200----212},
  doi      = {10.1006/jcph.1994.1187},
  file     = {:papers/Liu, Osher, Chan - 1994 - Weighted Essentially Non-oscillatory Schemes.pdf:pdf},
  keywords = {WENO,numerics},
  url      = {http://0-www.sciencedirect.com.library.kaust.edu.sa/science/article/pii/S0021999184711879},
}

@Article{Loman2013,
  author     = {Nick Loman and Mick Watson},
  title      = {So You Want to Be a Computational Biologist?},
  journal    = {Nature Biotechnology},
  year       = {2013},
  volume     = {31},
  pages      = {996--998},
  doi        = {10.1038/nbt.2740},
  file       = {:papers/2013/Loman - So You Want to Be a Computational Biologist.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  readstatus = {read},
}

@Article{Lorenz1963,
  author  = {Lorenz, E N},
  title   = {{Deterministic nonperiodic flow}},
  journal = {Journal of the Atmospheric Sciences},
  year    = {1963},
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  pages   = {130},
  file    = {:papers/1963/Lorenz - Deterministic nonperiodic flow.pdf:PDF},
}

@Article{Lucia2002,
  author   = {Lucia, A. and Y. Feng},
  title    = {Global terrain methods},
  journal  = {Computers \& Chemical Engineering},
  year     = {2002},
  volume   = {26},
  pages    = {529 - 546},
  issn     = {0098-1354},
  doi      = {http://dx.doi.org/10.1016/S0098-1354(01)00777-3},
  file     = {:papers/2002/Lucia - Global terrain methods.pdf:PDF},
  keywords = {Solutions},
  url      = {http://www.sciencedirect.com/science/article/pii/S0098135401007773},
}

@PhdThesis{Macdonald2003,
  author   = {Macdonald, Colin Barr},
  title    = {Constructing High-order Runge-Kutta Methods with Embedded Strong-Stability-Preserving Pairs},
  school   = {Simon Fraser University},
  year     = {2003},
  file     = {:papers/2003/Macdonald - Constructing High-order Runge-Kutta Methods with Embedded Strong-Stability-Preserving Pairs.pdf:PDF},
  keywords = {numerics, ODE, Runge--Kutta},
  url      = {people.math.sfu.ca/~cbm/mscthesis/},
}

@Article{Majda1981,
  author   = {Majda, Andrew},
  title    = {A Qualitative Model for Dynamic Combustion},
  journal  = {SIAM Journal on Applied Mathematics},
  year     = {1981},
  volume   = {41},
  pages    = {70--93},
  issn     = {0036-1399},
  doi      = {10.1137/0141006},
  file     = {:papers/1981/Majda - A Qualitative Model for Dynamic Combustion.pdf:PDF},
  keywords = {detonation, analytics},
}

@Article{Majda1977,
  author   = {Majda, Andrew and Osher, Stanley},
  title    = {{Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations}},
  journal  = {Communications on Pure and Applied Mathematics},
  year     = {1977},
  volume   = {30},
  pages    = {671--705},
  issn     = {00103640},
  doi      = {10.1002/cpa.3160300602},
  file     = {:papers/Majda, Osher - 1977 - Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations.pdf:pdf},
  keywords = {gasdynamics,numerics},
  url      = {http://doi.wiley.com/10.1002/cpa.3160300602},
}

@Article{Margolis1978,
  Title                    = {{Time-dependent solution of a premixed laminar flame}},
  Author                   = {Margolis, SB},
  Journal                  = {Journal of Computational Physics},
  Year                     = {1978},
  Pages                    = {410--427},
  Volume                   = {27},
  File                     = {:papers/Margolis - 1978 - Time-dependent solution of a premixed laminar flame.pdf:pdf},
  URL                      = {http://www.sciencedirect.com/science/article/pii/0021999178900189}
}

@Book{Mathew2008,
  Title                    = {{Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations}},
  Author                   = {Mathew, Tarek Poonithara Abraham},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {2008},
  Address                  = {Berlin, Heidelberg},
  Series                   = {Lecture Notes in Computational Science and Engineering},
  Volume                   = {61},
  DOI                      = {10.1007/978-3-540-77209-5},
  ISBN                     = {978-3-540-77205-7},
  Keywords                 = {numerics},
  URL                      = {http://link.springer.com/10.1007/978-3-540-77209-5}
}

@Book{McBride1992,
  Title                    = {{Computer program for calculating and fitting thermodynamic functions}},
  Author                   = {McBride, BJ and Gordon, Sanford},
  Year                     = {1992},
  File                     = {:papers/McBride, Gordon - 1992 - Computer program for calculating and fitting thermodynamic functions.pdf:pdf},
  URL                      = {http://www.frad.t.u-tokyo.ac.jp/public/cea/doc/xRP-1271.pdf}
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@TechReport{McBride2002,
  author      = {McBride, Bonnie J. and Zehe, Michael J. and Gordon, Sanford},
  title       = {{NASA} {Glenn} Coefficients for Calculating Thermodynamic Properties of Individual Species},
  institution = {National Aeronautics and Space Administration},
  year        = {2002},
  type        = {Technical Paper},
  address     = {John H. Glenn Research Center at Lewis Field, Cleveland, Ohio 44135-3191},
  file        = {:papers/2002/McBride - NASA Glenn Coefficients for Calculating Thermodynamic Properties of Individual Species.pdf:PDF},
  keywords    = {thermodynamics},
  url         = {http://www.grc.nasa.gov/WWW/CEAWeb/TP-2002-211556.pdf},
}

@Article{Merali2010,
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  title    = {Computational Science: {\dots}{Error} {\dots}Why Scientific Programming Does Not Compute},
  journal  = {Nature},
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  volume   = {467},
  pages    = {775--777},
  doi      = {10.1038/467775a},
  file     = {:papers/2010/Merali - Computational Science Error.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@Article{Meyer1987,
  author   = {Meyer, Bertrand},
  title    = {Reusability: {The} Case for Object-Oriented Design},
  journal  = {IEEE Software},
  year     = {1987},
  volume   = {4},
  pages    = {50--64},
  doi      = {10.1109/MS.1987.230097},
  file     = {:papers/1987/Meyer - ReusabilityThe Case for Object-Oriented Design.pdf:PDF},
  keywords = {programming},
}

@Article{Miller1982,
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  title    = {Toward a Comprehensive Chemical Kinetic Mechanism for the Oxidation of Acetylene: {Comparison} of Model Predictions with Results From Flame and Shock Tube Experiments},
  journal  = {Symposium (International) on Combustion},
  year     = {1982},
  volume   = {19},
  pages    = {181--196},
  issn     = {0082-0784},
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  file     = {:papers/1982/Miller - Toward a Comprehensive Chemical Kinetic Mechanism for the Oxidation of Acetylene Comparison of Model Predictions with Results From Flame and Shock Tube Experiments.pdf:PDF},
  keywords = {kinetics, detonation},
}

@InCollection{Millman2014,
  Title                    = {Developing Open Source Scientific Practice},
  Author                   = {Millman, K Jarrod and P{\'e}rez, Fernando},
  Booktitle                = {Implementing Reproducible Research},
  Publisher                = {CRC Press},
  Year                     = {2014},
  Pages                    = {149--183},
  File                     = {:papers/2014/Millman - Developing Open Source Scientific Practice.pdf:PDF},
  Keywords                 = {numerics, scicomp, reproducibility}
}

@Article{Mitchell2012,
  author     = {Ian M. Mitchell and Randall J. LeVeque and Victoria Stodden},
  title      = {Reproducible Research for Scientific Computing: {Tools} and Strategies for Changing the Culture},
  journal    = j-cise,
  year       = {2012},
  volume     = {14},
  pages      = {13--17},
  issn       = {1521-9615},
  address    = {Los Alamitos, CA, USA},
  doi        = {10.1109/MCSE.2012.38},
  file       = {:papers/2012/Mitchell - Reproducible Research for Scientific Computing Tools and Strategies for Changing the Culture.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  publisher  = {IEEE Computer Society},
  readstatus = {read},
  relevance  = {relevant},
}

@Article{Monniaux2008,
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  title     = {The pitfalls of verifying floating-point computations},
  journal   = {ACM Transactions on Programming Languages and Systems},
  year      = {2008},
  volume    = {30},
  pages     = {1--41},
  issn      = {01640925},
  doi       = {10.1145/1353445.1353446},
  file      = {:papers/2008/Monniaux - The pitfalls of verifying floating-point computations.pdf:PDF},
  keywords  = {verification, numerics, scicomp, floatingpoint},
  publisher = {ACM},
  url       = {http://dl.acm.org/citation.cfm?id=1353445.1353446},
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@Article{Moore1965,
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  title   = {Cramming more components onto integrated circuits},
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@Article{Morton2007,
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  file     = {:papers/2007/Morton - Finite volume methods for hyperbolic conservation laws.pdf:PDF},
  keywords = {numerics},
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@Article{Motamed2011,
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  title    = {On the Linear Stability of the Fifth-Order {WENO} Discretization},
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  year     = {2011},
  volume   = {47},
  pages    = {127--149},
  doi      = {10.1007/s10915-010-9423-9},
  file     = {:papers/2010/Motamed - On the Linear Stability of the Fifth-Order WENO Discretization.pdf:PDF},
  keywords = {numerics, CFD, WENO},
}

@Article{Muite2010,
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  journal  = {Journal of Computational and Applied Mathematics},
  year     = {2010},
  volume   = {234},
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  issn     = {0377-0427},
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  file     = {:papers/2010/Muite - A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems.pdf:PDF},
  keywords = {spectral-methods, numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0377042709008462},
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@Article{Nejadmalayeri2015,
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  journal  = j-jcp,
  year     = {2015},
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@TechReport{Neumann1942,
  author      = {von Neumann, John},
  title       = {Theory of Detonation Waves},
  institution = {National Defense Research Committee of the Office of Scientific Research and Development},
  year        = {1942},
  type        = {Technical Report 549},
  booktitle   = {{John} von {Neumann}: {Collected} Works, 1903--1957},
  file        = {:papers/1942/Neumann - Theory of Detonation Waves - Reproduction.pdf:PDF;:papers/1942/Neumann - Theory of Detonation Waves.pdf:PDF},
  keywords    = {detonation},
  pages       = {178--218},
  publisher   = {Permagon Press},
  volume      = {6},
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@Article{Neumann1947,
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  title    = {Numerical Inverting of Matrices of High Order},
  journal  = {Bulletin of the American Mathematical Society},
  year     = {1947},
  volume   = {53},
  pages    = {1021--1099},
  doi      = {10.1090/S0002-9904-1947-08909-6},
  file     = {:papers/1947/Neumann - Numerical Inverting of Matrices of High Order.pdf:PDF},
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@Article{Ng2005NonlinDynamics,
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@Article{Ng2005ChainBranching,
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@InCollection{Ng2012,
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  pages     = {107--212},
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@Article{Noble2009,
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@Article{Oberkampf2002,
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  keywords = {scicomp, verification, testing},
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@Article{Oliphant2007,
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  title      = {Python for Scientific Computing},
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  issn       = {1521-9615},
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  file       = {:papers/2007/Oliphant - Python for Scientific Computing.pdf:PDF},
  keywords   = {scicomp, programming},
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@PhdThesis{Opdyke1992,
  Title                    = {Refactoring Object-Oriented Frameworks},
  Author                   = {Opdyke, William F.},
  School                   = {University of Illinois at Urbana-Champaign},
  Year                     = {1992},
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  Keywords                 = {programming}
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@Article{Oran1998,
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  issn    = {00102180},
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@Article{Orszag1980,
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  title    = {Spectral methods for problems in complex geometries},
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  year     = {1980},
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  file     = {:papers/1980/Orszag - Spectral methods for problems in complex geometries.pdf:PDF},
  keywords = {spectral-methods},
  url      = {http://www.sciencedirect.com/science/article/pii/0021999180900054},
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@Article{Perez2011,
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  issn     = {1521-9615},
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  file     = {:papers/2011/Perez - Python An Ecosystem for Scientific Computing.pdf:PDF},
  keywords = {scicomp, python},
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@Article{Perez2007,
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  journal    = j-cise,
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  keywords   = {scicomp, python},
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@Article{Papalexandris1997,
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  journal  = {Journal of Computational Physics},
  year     = {1997},
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  issn     = {00219991},
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  file     = {:papers/Papalexandris, Leonard, Dimotakis - 1997 - Unsplit Schemes for Hyperbolic Conservation Laws with Source Terms in One Space Dimension.pdf:pdf},
  keywords = {detonation, numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999197956928},
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@Article{Parnas1972,
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  title      = {A Technique for Software Module Specification with Examples},
  journal    = j-cacm,
  year       = {1972},
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  pages      = {330--336},
  issn       = {0001-0782},
  acmid      = {361309},
  address    = {New York, NY, USA},
  doi        = {10.1145/355602.361309},
  file       = {:papers/1972/Parnas - A Technique for Software Module Specification with Examples.pdf:PDF},
  issue_date = {May 1972},
  keywords   = {programming},
  numpages   = {7},
  publisher  = {ACM},
}

@Article{Parnas1972a,
  author    = {Parnas, D. L.},
  title     = {On the Criteria to Be Used in Decomposing Systems into Modules},
  journal   = {Communications of the ACM},
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  volume    = {15},
  pages     = {1053--1058},
  address   = {New York, NY, USA},
  doi       = {10.1145/361598.361623},
  file      = {:papers/1972/Parnas - On the Criteria to Be Used in Decomposing Systems into Modules.pdf:PDF},
  keywords  = {programming},
  publisher = {ACM},
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@Article{Pawlik2015,
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  doi      = {10.1109/MCSE.2014.93},
  file     = {:papers/2015/Pawlik - Crowdsourcing Scientific Software Documentation A Case Study of the NumPy Documentation Project.pdf:PDF},
  keywords = {scicomp},
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@Article{Pego1992,
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  journal  = {Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences},
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  doi      = {10.1098/rsta.1992.0055},
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  keywords = {stability, Evans-function},
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@Article{Pember1993,
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  pages    = {1293--1330},
  doi      = {10.1137/0153062},
  file     = {:papers/1993/Pember - Numerical Methods for Hyperbolic Conservation Laws With Stiff Relaxation I. Spurious Solutions.pdf:PDF},
  keywords = {numerics, gasdynamics, detonation},
}

@Article{Peng2011,
  author   = {Peng, Roger D.},
  title    = {Reproducible Research in Computational Science},
  journal  = {Science},
  year     = {2011},
  volume   = {334},
  pages    = {1226--1227},
  doi      = {10.1126/science.1213847},
  file     = {:papers/2011/Peng - Reproducible Research in Computational Science.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@Book{Peyret2002,
  Title                    = {Spectral Methods for Incompressible Viscous Flow},
  Author                   = {Peyret, Roger},
  Publisher                = {Springer New York},
  Year                     = {2002},
  Series                   = {Applied Mathematical Sciences},
  Volume                   = {148},
  DOI                      = {10.1007/978-1-4757-6557-1},
  Keywords                 = {numerics, spectral-methods},
  URL                      = {http://link.springer.com/book/10.1007%2F978-1-4757-6557-1}
}

@Book{Piessens1983,
  Title                    = {Quadpack},
  Author                   = {Piessens, Robert and de Doncker-Kapenga, Elise and \"{U}berhuber, Christoph W. and Kahaner, David K.},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {1983},
  Address                  = {Berlin, Heidelberg},
  Series                   = {Springer Series in Computational Mathematics},
  Volume                   = {1},
  DOI                      = {10.1007/978-3-642-61786-7},
  Keywords                 = {numerics, integration}
}

@Article{Pirozzoli2006,
  author   = {Sergio Pirozzoli},
  title    = {On the Spectral Properties of Shock-capturing Schemes},
  journal  = {Journal of Computational Physics},
  year     = {2006},
  volume   = {219},
  pages    = {489--497},
  issn     = {0021-9991},
  doi      = {10.1016/j.jcp.2006.07.009},
  file     = {:papers/2006/Pirozzoli - On the Spectral Properties of Shock-capturing Schemes.pdf:PDF},
  keywords = {numerics},
}

@Article{Powers2005,
  author  = {Powers, Joseph M. and Paolucci, Samuel},
  title   = {{Accurate Estimates of Fine Scale Reaction Zone Thicknesses in Gas Phase Detonations}},
  journal = {AIAA Paper},
  year    = {2005},
  pages   = {10--13},
  file    = {:papers/Powers, Paolucci - 2005 - Accurate Estimates of Fine Scale Reaction Zone Thicknesses in Gas Phase Detonations.pdf:pdf},
  url     = {http://arc.aiaa.org/doi/pdf/10.2514/6.2005-1171},
}

@Article{PowersPaolucci2005AIAA,
  author  = {Powers, Joseph M. and Paolucci, Samuel},
  title   = {{Accurate Spatial Resolution Estimates for Reactive Supersonic Flow with Detailed Chemistry}},
  journal = {AIAA Journal},
  year    = {2005},
  volume  = {43},
  pages   = {1088--1099},
  doi     = {10.2514/1.11641},
  file    = {:papers/Powers, Paolucci - 2005 - Accurate Spatial Resolution Estimates for Reactive Supersonic Flow with Detailed Chemistry.pdf:pdf},
}

@Book{Pulliam2014,
  Title                    = {Fundamental Algorithms in Computational Fluid Dynamics},
  Author                   = {Pulliam, Thomas H. and Zingg, David W.},
  Publisher                = {Springer International Publishing},
  Year                     = {2014},
  DOI                      = {10.1007/978-3-319-05053-9},
  Keywords                 = {numerics, CFD}
}

@Article{Qiu2002,
  author   = {Qiu, Jianxian and Shu, Chi-Wang},
  title    = {On the Construction, Comparison, and Local Characteristic Decomposition for High-Order Central {WENO} Schemes},
  journal  = j-jcp,
  year     = {2002},
  volume   = {183},
  pages    = {187--209},
  doi      = {10.1006/jcph.2002.7191},
  file     = {:papers/2002/Qiu - On the Construction, Comparison, and Local Characteristic Decomposition for High-Order Central WENO Schemes.pdf:PDF},
  keywords = {numerics, gasdynamics, WENO},
}

@Article{Qiu2005,
  author   = {Qiu, Jianxian and Shu, Chi-Wang},
  title    = {Hermite {WENO} schemes for {Hamilton--Jacobi} equations},
  journal  = j-jcp,
  year     = {2005},
  volume   = {204},
  pages    = {82--99},
  doi      = {10.1016/j.jcp.2004.10.003},
  file     = {:papers/2005/Qiu - Hermite WENO schemes for Hamilton-Jacobi equations.pdf:PDF},
  keywords = {numerics, WENO, WENOHJ, Hamilton--Jacobi},
}

@Article{Qiu2008,
  author    = {Qiu, Jing-Mei and Shu, Chi-Wang},
  title     = {{Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps}},
  journal   = j-sinum,
  year      = {2008},
  volume    = {46},
  pages     = {2211--2237},
  issn      = {0036-1429},
  doi       = {10.1137/060657911},
  file      = {:papers/Qiu, Shu - 2008 - Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps.pdf:pdf},
  keywords  = {65M06,65M12,Godunov-type scheme,convergence,entropy solution,gasdynamics,high-order accuracy,hyperbolic conservation laws,numerics,total variation bounded,total variation diminishing},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
  url       = {http://epubs.siam.org/doi/abs/10.1137/060657911},
}

@MastersThesis{Luna2011,
  author   = {Quezada de Luna, Manuel},
  title    = {Nonlinear Wave Propagation and Solitary Wave Formation in Two-Dimensional Heterogeneous Media},
  school   = {King Abdullah University of Science and Technology},
  year     = {2011},
  address  = {Thuwal, Saudi Arabia},
  file     = {:papers/2011/Quezada de Luna - Nonlinear Wave Propagation and Solitary Wave Formation in Two-Dimensional Heterogeneous Media.pdf:PDF},
  keywords = {numerics, CFD},
  url      = {repository.kaust.edu.sa/kaust/handle/10754/209415},
}

@PhdThesis{Quirk1991,
  Title                    = {{An adaptive grid algorithm for computational shock hydrodynamics}},
  Author                   = {Quirk, JJ},
  School                   = {Cranfield Institute of Technology},
  Year                     = {1991},
  File                     = {:papers/Quirk - 1991 - An adaptive grid algorithm for computational shock hydrodynamics.pdf:pdf},
  Keywords                 = {amr,gasdynamics},
  URL                      = {http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.280913}
}

@Article{Quirk1994,
  Title                    = {{A contribution to the great Riemann solver debate}},
  Author                   = {Quirk, JJ},
  Journal                  = {International Journal for Numerical Methods in Fluids},
  Year                     = {1994},
  File                     = {:papers/Quirk - 1994 - A contribution to the great Riemann solver debate.pdf:pdf},
  Keywords                 = {detonation},
  URL                      = {http://onlinelibrary.wiley.com/doi/10.1002/fld.1650180603/abstract}
}

@InCollection{Quirk1994a,
  Title                    = {{Godunov-Type Schemes Applied to Detonation Flows}},
  Author                   = {Quirk, James J.},
  Booktitle                = {Combustion in High-Speed Flows},
  Publisher                = {Springer Netherlands},
  Year                     = {1994},
  Address                  = {Dordrecht},
  Editor                   = {Buckmaster, John and Jackson, Thomas L. and Kumar, Ajay},
  Pages                    = {575--596},
  Series                   = {ICASE/LaRC Interdisciplinary Series in Science and Engineering},
  Volume                   = {1},
  DOI                      = {10.1007/978-94-011-1050-1_21},
  File                     = {:papers/Quirk - 1994 - Godunov-Type Schemes Applied to Detonation Flows.pdf:PDF},
  ISBN                     = {978-94-010-4456-1},
  Keywords                 = {detonation,numerics}
}

@InCollection{Quirk2005,
  Title                    = {Computational Science: ``Same Old Silence, Same Old Mistakes'', ``Something More Is Needed…''},
  Author                   = {Quirk, James J.},
  Booktitle                = {Adaptive Mesh Refinement - Theory and Applications},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {2005},
  Editor                   = {Plewa, Tomasz and Linde, Timur and Gregory Weirs, V.},
  Pages                    = {3--28},
  Series                   = {Lecture Notes in Computational Science and Engineering},
  Volume                   = {41},
  DOI                      = {10.1007/3-540-27039-6_1},
  File                     = {:papers/2005/Quirk - Computational Science “Same Old Silence, Same Old Mistakes” “Something More Is Needed … ”.pdf:PDF},
  ISBN                     = {978-3-540-21147-1},
  Keywords                 = {scicomp, amr},
  Language                 = {English}
}

@TechReport{Rabie1978,
  Title                    = {{Three-dimensional shock-change relations for reactive fluids}},
  Author                   = {Rabie, R L and Wackerle, Jerry},
  Institution              = {Department of Energy, Los Alamos Scientific Laboratory},
  Year                     = {1978},
  File                     = {:papers/Rabie, Wackerle - 1978 - Three-dimensional shock-change relations for reactive fluids.pdf:pdf},
  Keywords                 = {detonation}
}

@Article{Radulescu2011,
  author   = {Radulescu, M. I. and Tang, J.},
  title    = {Nonlinear Dynamics of Self-Sustained Supersonic Reaction Waves: {Fickett's} Detonation Analogue},
  journal  = {Physical Review Letters},
  year     = {2011},
  volume   = {107},
  pages    = {164503},
  issn     = {0031-9007},
  doi      = {10.1103/PhysRevLett.107.164503},
  file     = {:papers/2011/Radulescu - Nonlinear Dynamics of Self-Sustained Supersonic Reaction Waves Fickett's Detonation Analogue.pdf:PDF},
  keywords = {detonation},
}

@Article{Ram2013,
  author     = {Ram, Karthik},
  title      = {Git Can Facilitate Greater Reproducibility and Increased Transparency in Science},
  journal    = {Source Code for Biology and Medicine},
  year       = {2013},
  volume     = {8},
  pages      = {7},
  issn       = {1751-0473},
  doi        = {10.1186/1751-0473-8-7},
  file       = {:papers/2013/Ram - Git Can Facilitate Greater Reproducibility and Increased Transparency in Science.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  pmid       = {23448176},
  readstatus = {read},
}

@Article{Rawat2011,
  author   = {Pradeep Singh Rawat and Xiaolin Zhong},
  title    = {On High-order Shock-fitting and Front-tracking Schemes for Numerical Simulation of Shock–disturbance Interactions},
  journal  = j-jcp,
  year     = {2011},
  volume   = {229},
  pages    = {6744-6780},
  doi      = {10.1016/j.jcp.2010.05.021},
  file     = {:papers/2011/Prakash - On High-order Shock-fitting and Front-tracking Schemes for Numerical Simulation of Shock–disturbance Interactions.pdf:PDF},
  keywords = {numerics},
}

@Article{Reddy1990,
  author   = {Reddy, Satish C. and Trefethen, Lloyd N.},
  title    = {Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues},
  journal  = {Computer Methods in Applied Mechanics and Engineering},
  year     = {1990},
  volume   = {80},
  pages    = {147--164},
  issn     = {0045-7825},
  doi      = {10.1016/0045-7825(90)90019-I},
  file     = {:papers/1990/Reddy - Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues .pdf:PDF},
  keywords = {numerics, spectral-methods},
  url      = {http://www.sciencedirect.com/science/article/pii/004578259090019I},
}

@Article{Richardson1911,
  author   = {Richardson, L. F.},
  title    = {The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations, with an Application to the Stresses in a Masonry Dam},
  journal  = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year     = {1911},
  volume   = {210},
  pages    = {307--357},
  doi      = {10.1098/rsta.1911.0009},
  file     = {:papers/1910/Richardson - The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations, with an Application to the Stresses in a Masonry Dam.pdf:PDF},
  keywords = {numerics, verification},
}

@Article{Richardson1927,
  author   = {Richardson, Lewis F. and Gaunt, J. Arthur},
  title    = {The Deferred Approach to the Limit. Part {I}. Single Lattice. Part {II}. Interpenetrating Lattices},
  journal  = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year     = {1927},
  volume   = {226},
  pages    = {299--361},
  doi      = {10.1098/rsta.1927.0008},
  file     = {:papers/1927/Richardson - The Deferred Approach to the Limit. Part I. Single Lattice. Part II. Interpenetrating Lattices.pdf:PDF},
  keywords = {numerics, verification},
}

@Article{Roache1998,
  author   = {Roache, Patrick J.},
  title    = {{Verification of Codes and Calculations}},
  journal  = {AIAA Journal},
  year     = {1998},
  volume   = {36},
  pages    = {696--702},
  issn     = {0001-1452},
  doi      = {10.2514/2.457},
  file     = {:papers/Roache - 1998 - Verification of Codes and Calculations.pdf:pdf},
  keywords = {numerics,verification},
}

@Article{Roache2002,
  author    = {Roache, Patrick J.},
  title     = {Code verification by the method of manufactured solutions},
  journal   = {Journal of Fluids Engineering},
  year      = {2002},
  volume    = {124},
  pages     = {4--10},
  doi       = {10.1115/1.1436090},
  file      = {:papers/2002/Roache - Code verification by the method of manufactured solutions.pdf:PDF},
  keywords  = {numerics, verification},
  publisher = {American Society of Mechanical Engineers},
}

@Article{Roache2004,
  author   = {Roache, Patrick J.},
  title    = {Building PDE Codes to be Verifiable and Validatable},
  journal  = j-cise,
  year     = {2004},
  volume   = {6},
  pages    = {30--38},
  doi      = {10.1109/MCSE.2004.33},
  file     = {:papers/2004/Roache - Building PDE Codes to be Verifiable and Validatable.pdf:PDF},
  keywords = {scicomp, verification},
}

@Article{Rolandi2011,
  author    = {Rolandi, Marco and Cheng, Karen and P\'{e}rez-Kriz, Sarah},
  title     = {A Brief Guide to Designing Effective Figures for the Scientific Paper},
  journal   = {Advanced Materials},
  year      = {2011},
  volume    = {23},
  pages     = {4343--6},
  doi       = {10.1002/adma.201102518},
  file      = {:papers/2011/Rolandi - A brief guide to designing effective figures for the scientific paper..pdf:PDF},
  keywords  = {metawork},
  publisher = {Wiley-Blackwell},
  url       = {http://www.ncbi.nlm.nih.gov/pubmed/21960472},
}

@InProceedings{Romick2013,
  author    = {Romick, Christopher M. and Aslam, Tariq D. and Powers, Joseph M.},
  title     = {On the Resolution Necessary to Capture Dynamics of Unsteady Detonation},
  booktitle = {51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition},
  year      = {2013},
  publisher = {American Institute of Aeronautics and Astronautics},
  doi       = {10.2514/6.2013-887},
  file      = {:papers/2013/Romick - On the Resolution Necessary to Capture Dynamics of Unsteady Detonation.pdf:PDF},
  isbn      = {978-1-62410-181-6},
  keywords  = {detonation, numerics},
}

@Article{Romick2015,
  author   = {Romick, C. M. and Aslam, T. D. and Powers, J. M.},
  title    = {Verified and validated calculation of unsteady dynamics of viscous hydrogen–air detonations},
  journal  = {Journal of Fluid Mechanics},
  year     = {2015},
  volume   = {769},
  pages    = {154--181},
  issn     = {1469-7645},
  doi      = {10.1017/jfm.2015.114},
  file     = {:papers/2015/Romick - Verified and validated calculation of unsteady dynamics of viscous hydrogen–air detonations.pdf:PDF},
  keywords = {detonation, numerics},
  numpages = {28},
  url      = {http://journals.cambridge.org/article_S0022112015001147},
}

@Article{Romick2012,
  author  = {Romick, Christopher M and Dame, Notre and Powers, Joseph M.},
  title   = {Dynamics of Unsteady Inviscid and Viscous Detonations in Hydrogen-Air},
  journal = {50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition},
  year    = {2012},
  pages   = {1--11},
  doi     = {10.2514/6.2012-981},
  file    = {:papers/Romick, Dame, Powers - 2012 - Dynamics of Unsteady Inviscid and Viscous Detonations in Hydrogen-Air.pdf:pdf},
}

@Article{Rougier2014,
  author   = {Rougier, Nicolas P. and Droettboom, Michael and Bourne, Philip E.},
  title    = {Ten Simple Rules for Better Figures},
  journal  = j-pcbi,
  year     = {2014},
  volume   = {10},
  pages    = {e1003833},
  doi      = {10.1371/journal.pcbi.1003833},
  file     = {:papers/2014/Rougier - Ten Simple Rules for Better Figures.pdf:PDF},
  keywords = {metawork},
}

@Article{Roy2005,
  author     = {Roy, Christopher J.},
  title      = {Review of Code and Solution Verification Procedures for Computational Simulation},
  journal    = {Journal of Computational Physics},
  year       = {2005},
  volume     = {205},
  pages      = {131--156},
  issn       = {0021-9991},
  doi        = {10.1016/j.jcp.2004.10.036},
  file       = {:papers/2005/Roy - Review of Code and Solution Verification Procedures for Computational Simulation.pdf:PDF},
  keywords   = {scicomp, verification},
  publisher  = {Elsevier BV},
  readstatus = {read},
}

@Article{Roy2004,
  author   = {Roy, C. J. and Nelson, C. C. and Smith, T. M. and Ober, C. C.},
  title    = {Verification of {Euler/Navier{\textendash}Stokes} Codes Using the Method of Manufactured Solutions},
  journal  = {International Journal for Numerical Methods in Fluids},
  year     = {2004},
  volume   = {44},
  pages    = {599--620},
  doi      = {10.1002/fld.660},
  file     = {:papers/2004/Roy - Verification of Euler Navier Stokes Codes Using the Method of Manufactured Solutions.pdf:PDF},
  keywords = {CFD, verification, scicomp},
}

@Article{Sanchez2013,
  author  = {S\'{a}nchez, Antonio L. and Fern\'{a}ndez-Tarrazo, Eduardo and Williams, Forman a.},
  title   = {{The chemistry involved in the third explosion limit of H2–O2 mixtures}},
  journal = {Combustion and Flame},
  year    = {2013},
  issn    = {00102180},
  doi     = {10.1016/j.combustflame.2013.07.013},
  file    = {:papers/S\'{a}nchez, Fern\'{a}ndez-Tarrazo, Williams - 2013 - The chemistry involved in the third explosion limit of H2–O2 mixtures.pdf:pdf},
  url     = {http://linkinghub.elsevier.com/retrieve/pii/S001021801300271X},
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@TechReport{SalariKnupp2000,
  author      = {Salari, Kambiz and Knupp, Patrick},
  title       = {Code Verification by the Method of Manufactured Solutions},
  institution = {Sandia National Labs, United States},
  year        = {2000},
  doi         = {10.2172/759450},
  file        = {:papers/2000/SalariKnupp2000 - Code verification by the method of manufactured solutions.pdf:PDF},
  keywords    = {numerics, verification},
}

@Article{Sandve2013,
  author     = {Sandve, Geir Kjetil and Nekrutenko, Anton and Taylor, James and Hovig, Eivind},
  title      = {Ten Simple Rules for Reproducible Computational Research},
  journal    = j-pcbi,
  year       = {2013},
  volume     = {9},
  pages      = {e1003285},
  doi        = {10.1371/journal.pcbi.1003285},
  editor     = {Bourne, Philip E.},
  file       = {:papers/2013/Sandve - Ten Simple Rules for Reproducible Computational Research.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  readstatus = {read},
}

@Article{Schulte2011,
  author   = {Schulte, Eric and Davison, Dan},
  title    = {Active Documents with Org-Mode},
  journal  = j-cise,
  year     = {2011},
  volume   = {13},
  pages    = {66--73},
  doi      = {10.1109/MCSE.2011.41},
  file     = {:papers/2011/Schulte - Active Documents with Org-Mode.pdf:PDF},
  keywords = {scicomp, reproducibility},
}

@TechReport{Schultz2000,
  author      = {Schultz, E. and Shepherd, J. E.},
  title       = {Validation of detailed reaction mechanisms for detonation simulation},
  institution = {Graduate Aeronautical Laboratories, California Institute of Technology},
  year        = {2000},
  type        = {Technical Report},
  address     = {Pasadena, CA 91125},
  file        = {:papers/2000/Schultz - Validation of detailed reaction mechanisms for detonation simulation.pdf:PDF},
  keywords    = {detonation},
}

@Article{Schwab2000,
  author     = {Schwab, Matthias and Karrenbach, Martin and Claerbout, Jon},
  title      = {Making Scientific Computations Reproducible},
  journal    = j-cise,
  year       = {2000},
  volume     = {2},
  pages      = {61--67},
  doi        = {10.1109/5992.881708},
  file       = {:papers/2000/Schwab - Making Scientific Computations Reproducible.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  readstatus = {read},
}

@InProceedings{Seljebotn2009,
  Title                    = {Fast Numerical Computations with {Cython}},
  Author                   = {Seljebotn, Dag Sverre},
  Booktitle                = {Proceedings of the 8th Python in Science Conference},
  Year                     = {2009},
  Address                  = {Pasadena, CA USA},
  Editor                   = {Varoquaux, Ga\"{e}l and van der Walt, St\'{e}fan and Millman, Jarrod},
  Pages                    = {15--22},
  File                     = {:papers/2009/Seljebotn - Fast Numerical Computations with Cython.pdf:PDF},
  Keywords                 = {scicomp, python},
  URL                      = {http://conference.scipy.org/proceedings/scipy2009/paper\_2/}
}

@Article{SemenkoEtAl2016,
  author   = {Roman Semenko and Luiz M. Faria and Aslan R. Kasimov and Boris S. Ermolaev},
  title    = {Set-valued Solutions for Non-ideal Detonation},
  journal  = {Shock Waves},
  year     = {2016},
  volume   = {26},
  number   = {2},
  pages    = {141--160},
  doi      = {10.1007/s00193-015-0610-3},
  file     = {:papers/2013/Semenko - Set-valued Solutions for Non-ideal Detonation.pdf:PDF},
  keywords = {detonation},
}

@Article{Shalaev2010,
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  journal  = j-ctm,
  year     = {2010},
  volume   = {14},
  pages    = {1--22},
  doi      = {10.1080/13647830903401992},
  eprint   = {http://www.tandfonline.com/doi/pdf/10.1080/13647830903401992},
  file     = {:papers/2010/Shalaev - Initial-value problem for perturbations of idealized detonations in circular pipes.pdf:PDF},
  keywords = {detonation, stability},
  url      = { 
 http://www.tandfonline.com/doi/abs/10.1080/13647830903401992
 
},
}

@Article{Shampine1994,
  author    = {Shampine, L. F.},
  title     = {{ODE} Solvers and the Method Of Lines},
  journal   = {Numerical Methods for Partial Differential Equations},
  year      = {1994},
  volume    = {10},
  pages     = {739--755},
  issn      = {1098-2426},
  doi       = {10.1002/num.1690100608},
  file      = {:papers/1994/Shampine - ODE Solvers and the Method Of Lines.pdf:PDF},
  keywords  = {numerics, ODE, stability},
  publisher = {John Wiley \& Sons, Inc.},
}

@Article{Sharpe1997,
  author   = {Sharpe, Gary J.},
  title    = {Linear Stability of Idealized Detonations},
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  year     = {1997},
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  pages    = {2603--2625},
  issn     = {1364-5021},
  doi      = {10.1098/rspa.1997.0139},
  file     = {:papers/1997/Sharpe - Linear Stability of Idealized Detonations.pdf:PDF},
  keywords = {detonation, stability},
}

@Article{Sharpe1999,
  author    = {Sharpe, Gary J.},
  title     = {Linear Stability of Pathological Detonations},
  journal   = j-jfm,
  year      = {1999},
  volume    = {401},
  pages     = {311--338},
  issn      = {00221120},
  doi       = {10.1017/S0022112099006655},
  file      = {:papers/1999/Sharpe - Linear Stability of Pathological Detonations.pdf:PDF},
  keywords  = {detonation, stability},
  language  = {English},
  publisher = {Cambridge University Press},
}

@Article{Sharpe2001,
  author    = {Sharpe, Gary J.},
  title     = {Numerical Simulations of Pulsating Detonations: {II.} {Piston} Initiated Detonations},
  journal   = j-ctm,
  year      = {2001},
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  pages     = {623--638},
  issn      = {1364-7830},
  doi       = {10.1088/1364-7830/5/4/307},
  file      = {:papers/2001/Sharpe - Numerical Simulations of Pulsating Detonations II. Piston Initiated Detonations.pdf:PDF},
  keywords  = {detonation, numerics},
  publisher = {Taylor \& Francis},
}

@Article{SharpeFalle1999,
  author    = {Sharpe, Gary J. and Falle, S. A. E. G.},
  title     = {One-dimensional Numerical Simulations of Idealized Detonations},
  journal   = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences},
  year      = {1999},
  volume    = {455},
  pages     = {1203--1214},
  issn      = {1364-5021},
  doi       = {10.1098/rspa.1999.0355},
  file      = {:papers/1999/Sharpe - One-dimensional Numerical Simulations of Idealized Detonations.pdf:PDF},
  keywords  = {detonation, numerics},
  publisher = {The Royal Society},
}

@Article{Sharpe2000,
  author    = {Sharpe, Gary J. and Falle, S. A. E. G.},
  title     = {Numerical Simulations of Pulsating Detonations: {I.} {Nonlinear} Stability of Steady Detonations},
  journal   = j-ctm,
  year      = {2000},
  volume    = {4},
  pages     = {557--574},
  issn      = {1364-7830},
  doi       = {10.1088/1364-7830/4/4/310},
  file      = {:papers/2000/Sharpe - Numerical Simulations of Pulsating Detonations I. Nonlinear Stability of Steady Detonations.pdf:PDF},
  keywords  = {detonation, numerics},
  publisher = {Taylor \& Francis},
}

@Article{SharpeFalle:2000:One-dimensional,
  author    = {Sharpe, Gary J. and Falle, S. A. E. G.},
  title     = {One-dimensional nonlinear stability of pathological detonations},
  journal   = {Journal of Fluid Mechanics},
  year      = {2000},
  volume    = {414},
  pages     = {339--366},
  issn      = {00221120},
  doi       = {10.1017/S0022112000008697},
  file      = {:papers/2000/Sharpe - One-dimensional nonlinear stability of pathological detonations.pdf:PDF},
  keywords  = {detonation,numerics},
  language  = {English},
  publisher = {Cambridge University Press},
}

@Article{Shchelkin1959,
  author   = {Shchelkin, K. I.},
  title    = {Two Cases of Unstable Combustion},
  journal  = {Zhurnal Experimentalnoi i Teoreticheskoi Fiziki},
  year     = {1959},
  volume   = {36},
  pages    = {416--420},
  file     = {:papers/1959/Shchelkin - Two Cases of Unstable Combustion.pdf:PDF},
  keywords = {detonation},
  url      = {http://www.jetp.ac.ru/cgi-bin/r/index/e/9/2/p416?a=list},
}

@Article{Shen2011,
  author   = {Chaopeng Shen and Jing-Mei Qiu and Andrew Christlieb},
  title    = {Adaptive Mesh Refinement Based on High Order Finite Difference {WENO} Scheme for Multi-scale Simulations},
  journal  = j-jcp,
  year     = {2011},
  volume   = {230},
  pages    = {3780--3802},
  doi      = {10.1016/j.jcp.2011.02.008},
  file     = {:papers/2011/Shen - Adaptive Mesh Refinement Based on High Order Finite Difference WENO Scheme for Multi-scale Simulations.pdf:PDF},
  keywords = {numerics, WENO, amr},
}

@Article{Shen2014,
  author   = {Shen, Yiqing and Zha, Gecheng},
  title    = {{Improvement of weighted essentially non-oscillatory schemes near discontinuities}},
  journal  = {Computers \& Fluids},
  year     = {2014},
  volume   = {96},
  pages    = {1--9},
  issn     = {00457930},
  doi      = {10.1016/j.compfluid.2014.02.010},
  file     = {:papers/Shen, Zha - 2014 - Improvement of weighted essentially non-oscillatory schemes near discontinuities.pdf:pdf},
  keywords = {High order scheme,Shock capturing,WENO,WENO scheme,numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0045793014000656},
}

@Article{Shen2013,
  author   = {Shen, Y. Q. and Liu, L. and Yang, Y. and Gao, Z.},
  title    = {New Constructing Method for {WENO} Schemes},
  journal  = {Procedia Engineering},
  year     = {2013},
  volume   = {67},
  pages    = {420--429},
  issn     = {18777058},
  doi      = {10.1016/j.proeng.2013.12.042},
  file     = {:papers/2013/Shen - New Constructing Method for WENO Schemes.pdf:PDF},
  keywords = {WENO, numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S1877705813018754},
}

@Article{Shepard2001,
  author    = {Shepard, Terry and Lamb, Margaret and Kelly, Diane},
  title     = {More Testing Should Be Taught},
  journal   = j-cacm,
  year      = {2001},
  volume    = {44},
  pages     = {103--108},
  issn      = {00010782},
  doi       = {10.1145/376134.376180},
  file      = {:papers/2001/Shepard - More Testing Should Be Taught.pdf:PDF},
  keywords  = {scicomp, testing},
  publisher = {ACM},
}

@Article{Shepherd2009,
  author   = {Shepherd, J. E.},
  title    = {Detonation in Gases},
  journal  = {Proceedings of the Combustion Institute},
  year     = {2009},
  volume   = {32},
  pages    = {83--98},
  issn     = {1540-7489},
  abstract = {We review recent progress in gaseous detonation experiment, modeling, and simulation. We focus on the propagating detonation wave as a fundamental combustion process. The picture that is emerging is that although all propagating detonations are unstable, there is a wide range of behavior with one extreme being nearly laminar but unsteady periodic flow and the other chaotic instability with highly turbulent flow. We discuss the implications of this for detonation propagation and dynamic behavior such as diffraction, initiation, and quenching or failure. },
  doi      = {10.1016/j.proci.2008.08.006},
  file     = {:papers/2009/Shepherd - Detonation in Gases.pdf:PDF},
  keywords = {detonation, stability},
}

@Article{Shi2002,
  author   = {Shi, Jing and Hu, Changqing and Shu, Chi-Wang},
  title    = {{A Technique of Treating Negative Weights in WENO Schemes}},
  journal  = {Journal of Computational Physics},
  year     = {2002},
  volume   = {175},
  pages    = {108--127},
  issn     = {00219991},
  doi      = {10.1006/jcph.2001.6892},
  file     = {:papers/Shi, Hu, Shu - 2002 - A Technique of Treating Negative Weights in WENO Schemes.pdf:pdf},
  keywords = {WENO,numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999101968925},
}

@Article{Shi2003,
  author   = {Shi, Jing and Zhang, Yong-Tao and Shu, Chi-Wang},
  title    = {Resolution of High Order {WENO} Schemes for Complicated Flow Structures},
  journal  = j-jcp,
  year     = {2003},
  volume   = {186},
  pages    = {690--696},
  issn     = {0021-9991},
  doi      = {10.1016/S0021-9991(03)00094-9},
  file     = {:papers/2003/Shi - Resolution of High Order WENO Schemes for Complicated Flow Structures.pdf:PDF},
  keywords = {numerics, WENO},
}

@Article{Short1996,
  author   = {Short, Mark and Dold, John W.},
  title    = {Linear Stability of a Detonation Wave with a Model Three-step Chain-branching Reaction},
  journal  = {Mathematical and Computer Modelling},
  year     = {1996},
  volume   = {24},
  pages    = {115--123},
  issn     = {08957177},
  doi      = {10.1016/0895-7177(96)00144-6},
  file     = {:papers/1996/Short - Linear Stability of a Detonation Wave with a Model Three-step Chain-branching Reaction.pdf:PDF},
  keywords = {analytics, detonation, stability},
}

@Article{Short1999,
  author   = {Short, Mark and Kapila, Ashwani K. and Quirk, J. J.},
  title    = {The Chemical-Gas Dynamic Mechanisms of Pulsating Detonation Wave Instability},
  journal  = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year     = {1999},
  volume   = {357},
  pages    = {3621--3637},
  doi      = {10.1098/rsta.1999.0513},
  file     = {:papers/1999/Short - The Chemical-Gas Dynamic Mechanisms of Pulsating Detonation Wave Instability.pdf:PDF},
  keywords = {numerics, detonation},
}

@Article{ShortQuirk1997,
  author   = {Short, Mark and Quirk, James J.},
  title    = {On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction},
  journal  = j-jfm,
  year     = {1997},
  volume   = {339},
  pages    = {89--119},
  issn     = {1469-7645},
  doi      = {10.1017/S002211209700503X},
  file     = {:papers/1997/Short - On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction.pdf:PDF},
  keywords = {stability, detonation, numerics},
  numpages = {31},
  url      = {http://journals.cambridge.org/article_S002211209700503X},
}

@Article{ShortSharpe:2003:Two-step,
  author   = {Short, Mark and Sharpe, Gary J.},
  title    = {Pulsating Instability of Detonations with a Two-step Chain-branching Reaction Model: Theory and Numerics},
  journal  = j-ctm,
  year     = {2003},
  volume   = {7},
  pages    = {401--416},
  issn     = {1364-7830},
  doi      = {10.1088/1364-7830/7/2/311},
  file     = {:papers/2003/Short - Pulsating Instability of Detonations with a Two-step Chain-branching Reaction Model Theory and Numerics.pdf:PDF},
  keywords = {detonation, numerics},
}

@Article{ShortStewart1998,
  author    = {Short, Mark and Stewart, D. Scott},
  title     = {Cellular Detonation Stability. {Part} 1. {A} Normal-mode Linear Analysis},
  journal   = j-jfm,
  year      = {1998},
  volume    = {368},
  pages     = {229--262},
  issn      = {00221120},
  doi       = {10.1017/S0022112098001682},
  file      = {:papers/1998/Short - Cellular detonation stability. Part 1. A normal-mode linear analysis.pdf:PDF},
  keywords  = {analytics, detonation, stability},
  language  = {English},
  publisher = {Cambridge University Press},
}

@InCollection{Shu1999,
  Title                    = {{High Order ENO and WENO Schemes for Computational Fluid Dynamics}},
  Author                   = {Shu, Chi-Wang},
  Booktitle                = {Lecture Notes in Computational Science and Engineering},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {1999},
  Address                  = {Berlin, Heidelberg},
  Editor                   = {Barth, Timothy J. and Deconinck, Herman},
  Pages                    = {439--582},
  Series                   = {Lecture Notes in Computational Science and Engineering},
  Volume                   = {9},
  DOI                      = {10.1007/978-3-662-03882-6\_5},
  File                     = {:papers/Shu - 1999 - High Order ENO and WENO Schemes for Computational Fluid Dynamics.pdf:pdf},
  ISBN                     = {978-3-662-03884-0},
  Keywords                 = {WENO,numerics},
  URL                      = {http://www.springerlink.com/index/10.1007/978-3-662-03882-6 http://link.springer.com/10.1007/978-3-662-03882-6}
}

@Article{Shu1988a,
  author    = {Shu, Chi-Wang},
  title     = {{Total-Variation-Diminishing Time Discretizations}},
  journal   = {SIAM Journal on Scientific and Statistical Computing},
  year      = {1988},
  volume    = {9},
  pages     = {1073--1084},
  issn      = {0196-5204},
  doi       = {10.1137/0909073},
  file      = {:papers/Shu - 1988 - Total-Variation-Diminishing Time Discretizations.pdf:pdf},
  keywords  = {Runge--Kutta,numerics},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
  url       = {http://epubs.siam.org/doi/abs/10.1137/0909073},
}

@Article{Shu1990,
  author    = {Shu, Chi-Wang},
  title     = {Numerical Experiments on the Accuracy of {ENO} and Modified {ENO} Schemes},
  journal   = {Journal of Scientific Computing},
  year      = {1990},
  volume    = {5},
  pages     = {127--149},
  issn      = {0885-7474},
  doi       = {10.1007/BF01065581},
  file      = {:papers/1990/Shu - Numerical Experiments on the Accuracy of ENO and Modified ENO Schemes.pdf:PDF},
  keywords  = {numerics, ENO},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
}

@Article{Shu2009,
  author    = {Shu, Chi-Wang},
  title     = {{High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems}},
  journal   = {SIAM Review},
  year      = {2009},
  volume    = {51},
  pages     = {82--126},
  issn      = {0036-1445},
  doi       = {10.1137/070679065},
  file      = {:papers/Shu - 2009 - High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems.pdf:pdf},
  keywords  = {65M06,WENO,computational astronomy and astrophysics,computational biology,computational fluid dynamics,convection dominated problems,hyperbolic partial differential equations,numerics,semiconductor device simulation,traffic flow models,weighted essentially nonoscillatory (WENO) scheme},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
  url       = {http://epubs.siam.org/doi/abs/10.1137/070679065},
}

@Article{Shu2016,
  author   = {Chi-Wang Shu},
  title    = {High Order {WENO} and {DG} Methods for Time-dependent Convection-dominated {PDEs}: {A} Brief Survey of Several Recent Developments},
  journal  = j-jcp,
  year     = {2016},
  volume   = {316},
  pages    = {598--613},
  doi      = {10.1016/j.jcp.2016.04.030},
  file     = {:papers/2016/Shu - High Order WENO and DG Methods for Time-dependent Convection-dominated PDEs\: A Brief Survey of Several Recent Developments.pdf:PDF},
  keywords = {numerics, WENO},
}

@Article{Shu1988,
  author   = {Shu, Chi-Wang and Osher, Stanley},
  title    = {{Efficient implementation of essentially non-oscillatory shock-capturing schemes}},
  journal  = {Journal of Computational Physics},
  year     = {1988},
  volume   = {77},
  pages    = {439--471},
  issn     = {00219991},
  doi      = {10.1016/0021-9991(88)90177-5},
  file     = {:papers/Shu, Osher - 1988 - Efficient implementation of essentially non-oscillatory shock-capturing schemes.pdf:PDF},
  keywords = {ENO, Runge--Kutta, numerics},
}

@Article{Shu1989,
  author   = {Shu, Chi-Wang and Osher, Stanley},
  title    = {{Efficient implementation of essentially non-oscillatory shock-capturing schemes, II}},
  journal  = {Journal of Computational Physics},
  year     = {1989},
  volume   = {83},
  pages    = {32--78},
  issn     = {00219991},
  doi      = {10.1016/0021-9991(89)90222-2},
  file     = {:papers/Shu, Osher - 1989 - Efficient implementation of essentially non-oscillatory shock-capturing schemes, II.pdf:pdf},
  keywords = {ENO,numerics},
  url      = {http://dx.doi.org/10.1016/0021-9991(89)90222-2},
}

@Article{Shu1992,
  author   = {Shu, Chi-Wang and Zang, Thomas A. and Erlebacher, Gordon and Whitaker, David and Osher, Stanley},
  title    = {{High-order ENO schemes applied to two- and three-dimensional compressible flow}},
  journal  = {Applied Numerical Mathematics},
  year     = {1992},
  volume   = {9},
  pages    = {45--71},
  issn     = {01689274},
  doi      = {10.1016/0168-9274(92)90066-M},
  file     = {:papers/Shu et al. - 1992 - High-order ENO schemes applied to two- and three-dimensional compressible flow.pdf:pdf},
  keywords = {ENO,numerics},
  url      = {http://dx.doi.org/10.1016/0168-9274(92)90066-M},
}

@Article{Skufca2004,
  author     = {Joseph D. Skufca},
  title      = {Analysis Still Matters: {A} Surprising Instance of Failure of {Runge--Kutta--Felberg} {ODE} Solvers},
  journal    = {SIAM Review},
  year       = {2004},
  volume     = {46},
  pages      = {729--737},
  doi        = {10.1137/S003614450342911X},
  file       = {:papers/2004/Skufca - Analysis Still Matters A Surprising Instance of Failure of Runge-Kutta-Felberg ODE Solvers.pdf:PDF},
  keywords   = {scicomp, ODE},
  readstatus = {read},
}

@Article{Sod1978,
  author   = {Sod, Gary A},
  title    = {{A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws}},
  journal  = {Journal of Computational Physics},
  year     = {1978},
  volume   = {27},
  pages    = {1--31},
  issn     = {00219991},
  doi      = {10.1016/0021-9991(78)90023-2},
  file     = {:papers/Sod - 1978 - A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws.pdf:pdf},
  keywords = {gasdynamics,numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/0021999178900232},
}

@Article{Sow2015,
  author   = {A. Sow and A. Chinnayya and A. Hadjadj},
  title    = {Computational Study of Non-ideal and Mildly-unstable Detonation Waves},
  journal  = {Computers \& Fluids},
  year     = {2015},
  volume   = {119},
  pages    = {47--57},
  issn     = {0045-7930},
  doi      = {10.1016/j.compfluid.2015.06.027},
  file     = {:papers/2015/Sow - Computational Study of Non-ideal and Mildly-unstable Detonation Waves.pdf:PDF},
  keywords = {numerics, detonation},
}

@Article{Spijker1996,
  author   = {Spijker, M. N.},
  title    = {Stiffness in Numerical Initial-Value Problems},
  journal  = {Journal of Computational and Applied Mathematics},
  year     = {1996},
  volume   = {72},
  pages    = {393--406},
  issn     = {0377-0427},
  doi      = {10.1016/0377-0427(96)00009-X},
  file     = {:papers/1996/Spijker - Stiffness in Numerical Initial-Value Problems.pdf:PDF},
  keywords = {numerics, ODE, stiffness},
}

@Article{Spiteri2002,
  author   = {Spiteri, Raymond J. and Ruuth, Steven J.},
  title    = {A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods},
  journal  = j-sinum,
  year     = {2002},
  volume   = {40},
  pages    = {469--491},
  doi      = {10.1137/S0036142901389025},
  file     = {:papers/2002/Spiteri - A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods.pdf:PDF},
  keywords = {numerics, Runge--Kutta, SSP, TVD},
}

@Article{Steger1981,
  author   = {Steger, Joseph L. and Warming, R. F.},
  title    = {Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite-Difference Methods},
  journal  = {Journal of Computational Physics},
  year     = {1981},
  volume   = {40},
  pages    = {263--293},
  issn     = {00219991},
  doi      = {10.1016/0021-9991(81)90210-2},
  file     = {:papers/1981/Steger - Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite-Difference Methods.pdf:PDF},
  keywords = {numerics},
  url      = {http://dx.doi.org/10.1016/0021-9991(81)90210-2},
}

@Article{StewartKasimov2005,
  author   = {Stewart, D. Scott and Kasimov, Aslan R.},
  title    = {Theory of Detonation with an Embedded Sonic Locus},
  journal  = {SIAM Journal on Applied Mathematics},
  year     = {2005},
  volume   = {66},
  pages    = {384--407},
  doi      = {10.1137/040616930},
  file     = {:papers/2005/Stewart - Theory of Detonation with an Embedded Sonic Locus.pdf:PDF},
  keywords = {detonation},
}

@Article{Stewart2006,
  author   = {Stewart, D. Scott and Kasimov, Aslan R.},
  title    = {State of Detonation Stability Theory and Its Application to Propulsion},
  journal  = {Journal of Propulsion and Power},
  year     = {2006},
  volume   = {22},
  pages    = {1230--1244},
  issn     = {0748-4658},
  doi      = {10.2514/1.21586},
  file     = {:papers/2006/Stewart - State of Detonation Stability Theory and Its Application to Propulsion.pdf:PDF},
  keywords = {detonation, stability, analytics},
}

@Article{Strang1963,
  author   = {Strang, Gilbert},
  title    = {Accurate Partial Difference Methods {I}: {Linear} {Cauchy} Problems},
  journal  = {Archive for Rational Mechanics and Analysis},
  year     = {1963},
  volume   = {12},
  pages    = {392--402},
  doi      = {10.1007/BF00281235},
  file     = {:papers/1963/Strang - Accurate Partial Difference Methods I Linear Cauchy Problems.pdf:PDF},
  keywords = {numerics},
}

@Article{Strang1964,
  author   = {Strang, Gilbert},
  title    = {Accurate Partial Difference Methods: {II.} {Non-linear} Problems},
  journal  = {Numerische Mathematik},
  year     = {1964},
  volume   = {6},
  pages    = {37--46},
  doi      = {10.1007/BF01386051},
  file     = {:papers/1964/Strang - Accurate Partial Difference Methods II Non-linear Problems.pdf:PDF},
  keywords = {numerics},
}

@Article{Strang1968,
  author   = {Strang, Gilbert},
  title    = {On the Construction and Comparison of Difference Schemes},
  journal  = j-sinum,
  year     = {1968},
  volume   = {5},
  pages    = {506--517},
  doi      = {10.1137/0705041},
  file     = {:papers/1968/Strang - On the Construction and Comparison of Difference Schemes.pdf:PDF},
  keywords = {numerics},
}

@Book{Strogatz2015,
  Title                    = {Nonlinear Dynamics and Chaos: {With} Applications to Physics, Biology, Chemistry, and Engineering},
  Author                   = {Strogatz,Steven H.},
  Publisher                = {Westview Press},
  Year                     = {2015},
  Address                  = {Boulder, CO},
  Edition                  = {2},
  Keywords                 = {nonlinear-dynamics},
  Language                 = {English}
}

@Article{SubodhSharma,
  Title                    = {A Formal Approach to Detect Functionally Irrelevant Barriers in {MPI} Programs},
  Author                   = {Subodh Sharma, Sarvani Vakkalanka},
  File                     = {:papers/Subodh Sharma - Unknown - A Formal Approach to Detect Functionally Irrelevant Barriers in MPI Programs ⋆.pdf:PDF},
  Keywords                 = {scicomp, parallel, programming},
  URL                      = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.226}
}

@Article{Tang2013,
  author   = {Tang, J. and Radulescu, Matei I.},
  title    = {Dynamics of Shock Induced Ignition in {Fickett’s} Model: {Influence} of \chi},
  journal  = {Proceedings of the Combustion Institute},
  year     = {2013},
  volume   = {34},
  pages    = {2035--2041},
  doi      = {10.1016/j.proci.2012.05.079},
  file     = {:papers/2013/Tang - Dynamics of Shock Induced Ignition in Fickett’s model Influence of chi.pdf:PDF},
  keywords = {detonation},
}

@Article{Tang1998,
  author    = {Tang, Tao},
  title     = {{Convergence Analysis for Operator-Splitting Methods Applied to Conservation Laws with Stiff Source Terms}},
  journal   = j-sinum,
  year      = {1998},
  volume    = {35},
  pages     = {1939--1968},
  issn      = {0036-1429},
  doi       = {10.1137/S0036142996308927},
  file      = {:papers/Tang - 1998 - Convergence Analysis for Operator-Splitting Methods Applied to Conservation Laws with Stiff Source Terms.pdf:pdf},
  isbn      = {10.1137/S0036142996308927},
  keywords  = {numerics, gasdynamics, stiffness},
  language  = {en},
  publisher = {Society for Industrial and Applied Mathematics},
}

@Article{Tao2015,
  author   = {Tao, Zhanjing and Li, Fengyan and Qiu, Jianxian},
  title    = {{High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws}},
  journal  = {Journal of Computational Physics},
  year     = {2015},
  volume   = {281},
  pages    = {148--176},
  issn     = {00219991},
  doi      = {10.1016/j.jcp.2014.10.027},
  file     = {:papers/Tao, Li, Qiu - 2015 - High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws.pdf:pdf},
  keywords = {Central schemes,Finite volume method,Hermite WENO,High-order accuracy,Lax–Wendroff,Natural continuous extension (NCE) of Runge–Kutta,WENO,numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/S0021999114007098},
}

@PhdThesis{Taylor2010,
  Title                    = {Instability of steady and quasi-steady detonations},
  Author                   = {Taylor, Brian D.},
  School                   = {University of Illinois at Urbana-Champaign},
  Year                     = {2010},
  Type                     = {Dissertation},
  File                     = {:papers/2010/Taylor - Instability of steady and quasi-steady detonations.pdf:PDF},
  Keywords                 = {numerics, detonation},
  URL                      = {http://hdl.handle.net/2142/18646}
}

@Article{TaylorKasimovStewart2009,
  author   = {Taylor, B. D. and Kasimov, Aslan R. and Stewart, D. Scott},
  title    = {Mode Selection in Weakly Unstable Two-dimensional Detonations},
  journal  = j-ctm,
  year     = {2009},
  volume   = {13},
  pages    = {973--992},
  issn     = {1364-7830},
  doi      = {10.1080/13647830903324186},
  file     = {:papers/2009/Taylor - Mode Selection in Weakly Unstable Two-dimensional Detonations.pdf:PDF},
  keywords = {detonation, numerics},
}

@Article{taylor2012numerical,
  Title                    = {{Numerical simulations of hydrogen detonations with detailed chemical kinetics}},
  Author                   = {Taylor, B D and Kessler, D A and Gamezo, V N and Oran, E. S.},
  Journal                  = {Proceedings of the Combustion Institute},
  Year                     = {2012},
  File                     = {:papers/Taylor et al. - 2012 - Numerical simulations of hydrogen detonations with detailed chemical kinetics.pdf:PDF},
  Publisher                = {Elsevier}
}

@Article{Texier2008,
  author   = {Texier, Benjamin and Zumbrun, Kevin},
  title    = {Galloping Instability of Viscous Shock Waves},
  journal  = {Physica D: Nonlinear Phenomena},
  year     = {2008},
  volume   = {237},
  pages    = {1553--1601},
  issn     = {01672789},
  doi      = {10.1016/j.physd.2008.03.008},
  file     = {:papers/2008/Texier - Galloping Instability of Viscous Shock Waves.pdf:PDF},
  keywords = {analytics, detonation},
}

@Article{Texier2011,
  author    = {Texier, Benjamin and Zumbrun, Kevin},
  title     = {Transition to Longitudinal Instability of Detonation Waves is Generically Associated with Hopf Bifurcation to Time-Periodic Galloping Solutions},
  journal   = {Communications in Mathematical Physics},
  year      = {2011},
  volume    = {302},
  pages     = {1--51},
  issn      = {0010-3616},
  doi       = {10.1007/s00220-010-1175-8},
  file      = {:papers/2011/Texier - Transition to Longitudinal Instability of Detonation Waves is Generically Associated with Hopf Bifurcation to Time-Periodic Galloping Solutions.pdf:PDF},
  keywords  = {detonation},
  publisher = {Springer-Verlag},
}

@Article{Thomas2002,
  author   = {Thomas, Dave and Hunt, Andy},
  title    = {State Machines},
  journal  = {IEEE Software},
  year     = {2002},
  volume   = {19},
  pages    = {10--12},
  doi      = {10.1109/MS.2002.1049380},
  file     = {:papers/2002/Thomas - State Machines.pdf:PDF},
  keywords = {programming},
}

@Article{Thompson1987,
  author   = {Thompson, Kevin W},
  title    = {Time dependent boundary conditions for hyperbolic systems},
  journal  = {Journal of Computational Physics},
  year     = {1987},
  volume   = {68},
  pages    = {1--24},
  issn     = {0021-9991},
  doi      = {http://dx.doi.org/10.1016/0021-9991(87)90041-6},
  file     = {:papers/1987/Thompson - Time dependent boundary conditions for hyperbolic systems .pdf:PDF},
  keywords = {numerics, CFD, gasdynamics},
  url      = {http://www.sciencedirect.com/science/article/pii/0021999187900416},
}

@Article{Titarev2005,
  author   = {Titarev, V. A. and Toro, E. F.},
  title    = {{WENO} Schemes Based on Upwind and Centred {TVD} Fluxes},
  journal  = {Computers \& Fluids},
  year     = {2005},
  volume   = {34},
  pages    = {705--720},
  doi      = {10.1016/j.compfluid.2004.05.009},
  file     = {:papers/2005/Titarev - WENO Schemes Based on Upwind and Centred TVD Fluxes.pdf:PDF;:papers/2005/Titarev - WENO Schemes Based on Upwind and Centred TVD Fluxes - 2.pdf:PDF},
  keywords = {WENO, numerics},
}

@Article{Ton1994,
  author   = {Ton, V. T. and Karagozian, A. R. and Marble, F. E. and Osher, S. J. and Engquist, B. E.},
  title    = {{Numerical simulations of high-speed chemically reacting flow}},
  journal  = {Theoretical and Computational Fluid Dynamics},
  year     = {1994},
  volume   = {6-6},
  pages    = {161--179},
  issn     = {0935-4964},
  doi      = {10.1007/BF00312347},
  file     = {:papers/Ton et al. - 1994 - Numerical simulations of high-speed chemically reacting flow.pdf:PDF},
  keywords = {detonation, numerics, gasdynamics},
  url      = {http://link.springer.com/10.1007/BF00312347},
}

@Book{Toro2009,
  Title                    = {{Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction}},
  Author                   = {Toro, Eleuterio F.},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {2009},
  Edition                  = {3},
  DOI                      = {10.1007/b79761},
  ISBN                     = {978-3-540-25202-3},
  Keywords                 = {gasdynamics,numerics},
  Pages                    = {677},
  URL                      = {http://link.springer.com/book/10.1007/b79761}
}

@InCollection{Trefethen1999,
  Title                    = {Spectra and Pseudospectra},
  Author                   = {Trefethen, Lloyd N.},
  Booktitle                = {The Graduate Student’s Guide to Numerical Analysis ’98},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {1999},
  Editor                   = {Ainsworth, Mark and Levesley, Jeremy and Marletta, Marco},
  Pages                    = {217--250},
  Series                   = {Springer Series in Computational Mathematics},
  Volume                   = {26},
  DOI                      = {10.1007/978-3-662-03972-4_6},
  File                     = {:papers/1999/Trefethen - Spectra and Pseudospectra.pdf:PDF},
  ISBN                     = {978-3-642-08503-1},
  Keywords                 = {numerics, linear-algebra},
  Language                 = {English}
}

@Article{Trefethen1993,
  author   = {Trefethen, Lloyd N. and Trefethen, Anne E. and Reddy, Satish C. and Driscoll, Tobin A.},
  title    = {Hydrodynamic Stability Without Eigenvalues},
  journal  = {Science},
  year     = {1993},
  volume   = {261},
  pages    = {578--584},
  doi      = {10.1126/science.261.5121.578},
  file     = {:papers/1993/Trefethen - Hydrodynamic Stability Without Eigenvalues.pdf:PDF},
  keywords = {stability, fluid-dynamics},
}

@Article{Trefethen1987,
  author   = {Trefethen, Lloyd N. and Trummer, Manfred R.},
  title    = {An Instability Phenomenon in Spectral Methods},
  journal  = j-sinum,
  year     = {1987},
  volume   = {24},
  pages    = {1008--1023},
  doi      = {10.1137/0724066},
  file     = {:papers/1987/Trefethen - An Instability Phenomenon in Spectral Methods.pdf:PDF},
  keywords = {numerics, spectral-methods},
}

@InProceedings{Treibig2010,
  author    = {Treibig, Jan and Hager, Georg and Wellein, Gerhard},
  title     = {{LIKWID: A Lightweight Performance-Oriented Tool Suite for x86 Multicore Environments}},
  booktitle = {2010 39th International Conference on Parallel Processing Workshops},
  year      = {2010},
  pages     = {207--216},
  publisher = {IEEE},
  doi       = {10.1109/ICPPW.2010.38},
  file      = {:papers/Treibig, Hager, Wellein - 2010 - LIKWID A Lightweight Performance-Oriented Tool Suite for x86 Multicore Environments.pdf:pdf},
  isbn      = {978-1-4244-7918-4},
  issn      = {1530-2016},
  keywords  = {API,HPC,Hardware,LIKWID,Multicore processing,OpenMP STREAM triad benchmark,PAPI interface,Prefetching,Radiation detectors,Sockets,Topology,application program interfaces,cache storage,cache topology,command-line utility,lightweight performance-oriented tool suite,microprocessor chips,multicore chips,multiprocessing systems,scicomp,shared-memory node,thread-core affinity,x86 multicore environments},
  language  = {English},
  url       = {http://ieeexplore.ieee.org/articleDetails.jsp?arnumber=5599200},
}

@Article{Tumin2007IVP,
  author   = {Tumin, Anatoli},
  title    = {Initial-value problem for small disturbances in an idealized one-dimensional detonation},
  journal  = {Physics of Fluids},
  year     = {2007},
  volume   = {19},
  pages    = {106105},
  doi      = {10.1063/1.2793156},
  file     = {:papers/2007/Tumin - Initial-value problem for small disturbances in an idealized one-dimensional detonation.pdf:PDF},
  keywords = {detonation, stability, numerics},
}

@Article{Tumin2007Multidomain,
  author   = {Tumin, Anatoli},
  title    = {Multidomain Spectral Collocation Method for Stability Analysis of Detonations},
  journal  = {AIAA Journal},
  year     = {2007},
  volume   = {45},
  pages    = {2356--2359},
  doi      = {10.2514/1.29722},
  file     = {:papers/2007/Tumin - Multidomain Spectral Collocation Method for Stability Analysis of Detonations.pdf:PDF},
  keywords = {detonation, stability, spectral-methods},
}

@InProceedings{Tumin2007Stability,
  author    = {Tumin, Anatoli},
  title     = {Stability of Idealized One-Reaction Detonations Revisited},
  booktitle = {45th AIAA Aerospace Sciences Meeting and Exhibit},
  year      = {2007},
  doi       = {doi:10.2514/6.2007-987},
  file      = {:papers/2007/Tumin - Stability of Idealized One-Reaction Detonations Revisited.pdf:PDF},
  keywords  = {detonation, stability, numerics},
}

@Article{Turk2013,
  Title                    = {How to Scale a Code in the Human Dimension},
  Author                   = {Matthew J. Turk},
  Journal                  = j-arxiv,
  Year                     = {2013},
  Archiveprefix            = {arXiv},
  Eprint                   = {1301.7064},
  File                     = {:papers/2013/Turk - How to Scale a Code in the Human Dimension.pdf:PDF},
  Keywords                 = {scicomp},
  Primaryclass             = {astro-ph.IM},
  URL                      = {http://arxiv.org/abs/1301.7064}
}

@MastersThesis{Tyler2007,
  author   = {Tyler, Jonathan G.},
  title    = {Analysis and Implementation of High-Order Compact Finite Difference Schemes},
  school   = {Brigham Young University},
  year     = {2007},
  file     = {:papers/2007/Tyler - Analysis and Implementation of High-Order Compact Finite Difference Schemes.pdf:PDF},
  keywords = {numerics, compact-schemes},
  url      = {http://scholarsarchive.byu.edu/etd/1278},
}

@Book{Urban2002,
  title     = {{Wavelets in Numerical Simulation}},
  publisher = {Springer Berlin Heidelberg},
  year      = {2002},
  author    = {Urban, Karsten},
  volume    = {22},
  series    = {Lecture Notes in Computational Science and Engineering},
  address   = {Berlin, Heidelberg},
  doi       = {10.1007/978-3-642-56002-6},
  isbn      = {978-3-540-43055-1},
  keywords  = {numerics, wavelet},
}

@Article{Valiant1990,
  author    = {Valiant, Leslie G.},
  title     = {{A bridging model for parallel computation}},
  journal   = {Communications of the ACM},
  year      = {1990},
  volume    = {33},
  pages     = {103--111},
  issn      = {00010782},
  doi       = {10.1145/79173.79181},
  file      = {:papers/Valiant - 1990 - A bridging model for parallel computation.pdf:pdf},
  keywords  = {parallel},
  publisher = {ACM},
  url       = {http://dl.acm.org/citation.cfm?id=79173.79181},
}

@Article{VanLeer1977,
  author   = {{van Leer}, Bram},
  title    = {Towards the ultimate conservative difference scheme. {III}. Upstream-centered finite-difference schemes for ideal compressible flow},
  journal  = {Journal of Computational Physics},
  year     = {1977},
  volume   = {23},
  pages    = {263--275},
  file     = {:papers/Van Leer - 1977 - Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compres.pdf:pdf},
  keywords = {numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/0021999177900948},
}

@Article{VanLeer1977a,
  author   = {{van Leer}, Bram},
  title    = {Towards the ultimate conservative difference scheme. {IV}. A new approach to numerical convection},
  journal  = {Journal of Computational Physics},
  year     = {1977},
  volume   = {23},
  pages    = {276--299},
  file     = {:papers/Van Leer - 1977 - Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection.pdf:pdf},
  keywords = {numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/002199917790095X},
}

@Article{Vandewalle2009,
  author     = {Vandewalle, Patrick and Kova{\v c}evi{\'c}, Jelena and Vetterli, Martin},
  title      = {Reproducible Research in Signal Processing},
  journal    = {IEEE Signal Processing Magazine},
  year       = {2009},
  volume     = {26},
  pages      = {37--47},
  issn       = {1053-5888},
  doi        = {10.1109/MSP.2009.932122},
  file       = {:papers/2009/Vandewalle - Reproducible Research in Signal Processing.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  readstatus = {read},
}

@Article{Varsakelis2016,
  author     = {C. Varsakelis and P. Anagnostidis},
  title      = {On the susceptibility of numerical methods to computational chaos and superstability},
  journal    = {Communications in Nonlinear Science and Numerical Simulation},
  year       = {2016},
  volume     = {33},
  pages      = {118--132},
  doi        = {10.1016/j.cnsns.2015.09.007},
  file       = {:papers/2016/Varsakelis - On the susceptibility of numerical methods to computational chaos and superstability.pdf:PDF},
  keywords   = {scicomp, ODE, stability},
  readstatus = {read},
}

@Book{VoytsekhovskiyEtAl1963,
  title     = {Struktura Fronta Detonatsii v Gazakh},
  publisher = {Sibirskoye Otdeleniye Akademii Nauk SSSR},
  year      = {1963},
  author    = {Voytsekhovskiy, B. V. and Mitrofanov, V. V. and Topchiyan, M. E.},
  note      = {[English translation: The Structure of a Detonation Front in Gasses. Wright-Patterson Air Force Base, Report FDT-MT-64-527 (AD 633-812)]},
  keywords  = {detonation},
}

@Article{Walt2011,
  author   = {van der Walt, St{\'e}fan and Colbert, S. Chris and Varoquaux, Ga{\"e}l},
  title    = {The {NumPy} Array: A Structure for Efficient Numerical Computation},
  journal  = j-cise,
  year     = {2011},
  volume   = {13},
  pages    = {22--30},
  issn     = {1521-9615},
  doi      = {10.1109/MCSE.2011.37},
  file     = {:papers/2011/Walt - The NumPy Array A Structure for Efficient Numerical Computation.pdf:PDF},
  keywords = {scicomp, python},
}

@Article{Wang2015,
  author   = {Wang, Cheng and Dong, Xin-Zhuang and Shu, Chi-Wang},
  title    = {Parallel Adaptive Mesh Refinement Method Based on {WENO} Finite Difference Scheme for the Simulation of Multi-dimensional Detonation},
  journal  = j-jcp,
  year     = {2015},
  volume   = {298},
  pages    = {161--175},
  issn     = {0021-9991},
  doi      = {10.1016/j.jcp.2015.06.001},
  file     = {:papers/2015/Wang - Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation.pdf:PDF},
  keywords = {detonation, numerics, amr, WENO},
}

@Article{Wang2007,
  author   = {Wang, Rong and Spiteri, Raymond J.},
  title    = {Linear Instability of the Fifth-Order {WENO} Method},
  journal  = j-sinum,
  year     = {2007},
  volume   = {45},
  pages    = {1871--1901},
  doi      = {10.1137/050637868},
  file     = {:papers/2007/Wang - Linear Instability of the Fifth-Order WENO Method.pdf:PDF},
  keywords = {numerics, WENO, Runge--Kutta, SSP, TVD},
}

@Article{Wang2015HighOrder,
  author   = {Wang, Wei and Shu, Chi-Wang and Yee, H. C. and Kotov, Dmitry V. and Sj{\"o}green, Bj{\"o}rn},
  title    = {High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing},
  journal  = {Communications in Computational Physics},
  year     = {2015},
  volume   = {17},
  pages    = {317--336},
  issn     = {1991-7120},
  doi      = {10.4208/cicp.250214.130814a},
  file     = {:papers/2015/Wang - High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity.pdf:PDF},
  issue    = {02},
  keywords = {numerics, detonation},
  numpages = {20},
}

@Article{Wang2012,
  author   = {Wang, Wei and Shu, Chi-Wang and Yee, H. C. and Sj\"{o}green, Bj\"{o}rn},
  title    = {High order finite difference methods with subcell resolution for advection equations with stiff source terms},
  journal  = j-jcp,
  year     = {2012},
  volume   = {231},
  pages    = {190--214},
  doi      = {10.1016/j.jcp.2011.08.031},
  file     = {:papers/2012/Wang - High order finite difference methods with subcell resolution for advection equations with stiff source terms.pdf:PDF},
  keywords = {numerics, WENO, gasdynamics, stiffness},
}

@Book{Wesseling2001,
  Title                    = {{Principles of Computational Fluid Dynamics}},
  Author                   = {Wesseling, Pieter},
  Publisher                = {Springer Berlin Heidelberg},
  Year                     = {2001},
  Address                  = {Berlin, Heidelberg},
  Series                   = {Springer Series in Computational Mathematics},
  Volume                   = {29},
  DOI                      = {10.1007/978-3-642-05146-3},
  ISBN                     = {978-3-642-05145-6},
  Keywords                 = {CFD,numerics},
  Pages                    = {644},
  URL                      = {http://link.springer.com/10.1007/978-3-642-05146-3}
}

@Article{ClintWhaley2001,
  author   = {Whaley, R. Clint and Petitet, Antoine and Dongarra, Jack J.},
  title    = {Automated Empirical Optimizations of Software and the {ATLAS} Project},
  journal  = {Parallel Computing},
  year     = {2001},
  volume   = {27},
  pages    = {3--35},
  issn     = {01678191},
  doi      = {10.1016/S0167-8191(00)00087-9},
  file     = {:papers/2001/Whaley - Automated Empirical Optimizations of Software and the ATLAS Project.pdf:PDF},
  keywords = {HPC, numerics, scicomp},
}

@Article{White1961,
  author   = {White, Donald R.},
  title    = {Turbulent Structure of Gaseous Detonation},
  journal  = {Physics of Fluids},
  year     = {1961},
  volume   = {4},
  pages    = {465-480},
  doi      = {10.1063/1.1706350},
  file     = {:papers/1960/White - Turbulent Structure of Gaseous Detonation.pdf:PDF},
  keywords = {detonation, stability, experiment},
}

@Article{Whitesides2004,
  author    = {Whitesides, George M.},
  title     = {{Whitesides'} Group: Writing a Paper},
  journal   = {Advanced Materials},
  year      = {2004},
  volume    = {16},
  pages     = {1375--1377},
  issn      = {1521-4095},
  doi       = {10.1002/adma.200400767},
  file      = {:papers/2004/Whitesides - Whitesides' Group Writing a Paper.pdf:PDF},
  keywords  = {metawork},
  publisher = {WILEY-VCH Verlag},
  url       = {http://dx.doi.org/10.1002/adma.200400767},
}

@Article{Williams1996,
  author   = {Williams, D. N. and Bauwens, L. and Oran, E. S.},
  title    = {{A numerical study of the mechanisms of self-reignition in low-overdrive detonations}},
  journal  = {Shock Waves},
  year     = {1996},
  volume   = {6},
  pages    = {93--110},
  issn     = {0938-1287},
  doi      = {10.1007/BF02515193},
  file     = {:papers/Williams, Bauwens, Oran - 1996 - A numerical study of the mechanisms of self-reignition in low-overdrive detonations.pdf:pdf},
  keywords = {detonation,numerics},
  url      = {http://link.springer.com/10.1007/BF02515193},
}

@Article{Wilson2014,
  author     = {Wilson, Greg and Aruliah, D. A. and Brown, C. Titus and Chue Hong, Neil P. and Davis, Matt and Guy, Richard T. and Haddock, Steven H. D. and Huff, Kathryn D. and Mitchell, Ian M. and Plumbley, Mark D. and Waugh, Ben and White, Ethan P. and Wilson, Paul},
  title      = {Best Practices for Scientific Computing},
  journal    = {PLoS Biology},
  year       = {2014},
  volume     = {12},
  pages      = {e1001745},
  doi        = {10.1371/journal.pbio.1001745},
  file       = {:papers/2014/Wilson - Best Practices for Scientific Computing.pdf:PDF;:papers/2014/Wilson - Best Practices for Scientific Computing - arxiv.pdf:PDF},
  keywords   = {scicomp, reproducibility},
  publisher  = {Public Library of Science},
  readstatus = {read},
}

@Article{Wirth1971,
  author   = {Wirth, Niklaus},
  title    = {Program Development by Stepwise Refinement},
  journal  = j-cacm,
  year     = {1971},
  volume   = {14},
  pages    = {221--227},
  doi      = {10.1145/362575.362577},
  file     = {:papers/1971/Wirth - Program Development by Stepwise Refinement.pdf:PDF},
  keywords = {programming},
}

@MastersThesis{Wittmann2009,
  author  = {Wittmann, M.},
  title   = {Potentials of temporal blocking for stencil-based computations on multi-core systems},
  school  = {University of Applied Sciences},
  year    = {2009},
  address = {Nuremberg},
  file    = {:papers/2009/Wittmann - Potentials of temporal blocking for stencil-based computations on multi-core systems.pdf:PDF},
  url     = {http://www.hpc.rrze.uni-erlangen.de/Projekte/stencil.shtml},
}

@Article{Wood1954,
  author   = {Wood, William W. and Kirkwood, John G.},
  title    = {Diameter Effect in Condensed Explosives. The Relation between Velocity and Radius of Curvature of the Detonation Wave},
  journal  = {The Journal of Chemical Physics},
  year     = {1954},
  volume   = {22},
  pages    = {1920--1924},
  issn     = {00219606},
  doi      = {10.1063/1.1739940},
  file     = {:papers/1954/Wood - Diameter Effect in Condensed Explosives. The Relation between Velocity and Radius of Curvature of the Detonation Wave.pdf:PDF},
  keywords = {detonation},
  url      = {http://scitation.aip.org/content/aip/journal/jcp/22/11/10.1063/1.1739940},
}

@Article{Wood1957,
  author   = {Wood, William W. and Kirkwood, John G.},
  title    = {Hydrodynamics of a Reacting and Relaxing Fluid},
  journal  = {Journal of Applied Physics},
  year     = {1957},
  volume   = {28},
  pages    = {395--398},
  doi      = {10.1063/1.1722761},
  file     = {:papers/1957/Wood - Hydrodynamics of a Reacting and Relaxing Fluid.pdf:PDF},
  keywords = {detonation},
  url      = {http://scitation.aip.org/content/aip/journal/jap/28/4/10.1063/1.1722761},
}

@Article{Wood1958,
  author   = {Wood, William W. and Parker, F. R.},
  title    = {Structure of a Centered Rarefaction Wave in a Relaxing Gas},
  journal  = {Physics of Fluids (1958-1988)},
  year     = {1958},
  volume   = {1},
  pages    = {230--241},
  doi      = {10.1063/1.1724347},
  file     = {:papers/1958/Wood - Structure of a Centered Rarefaction Wave in a Relaxing Gas.pdf:PDF},
  keywords = {detonation},
  printed  = {printed},
}

@Article{Wood1960,
  author    = {Wood, W. W. and Salsburg, Z. W.},
  title     = {{Analysis of Steady-State Supported One-Dimensional Detonations and Shocks}},
  journal   = {Physics of Fluids},
  year      = {1960},
  volume    = {3},
  pages     = {549},
  issn      = {00319171},
  doi       = {10.1063/1.1706090},
  file      = {:papers/1960/Wood - Analysis of Steady-State Supported One-Dimensional Detonations and Shocks.pdf:PDF},
  keywords  = {detonation},
  publisher = {AIP Publishing},
  url       = {http://scitation.aip.org/content/aip/journal/pof1/3/4/10.1063/1.1706090},
}

@Article{Woods2015,
  author   = {Woods, C. Nathan and Starkey, Ryan P.},
  title    = {Verification of fluid-dynamic codes in the presence of shocks and other discontinuities},
  journal  = {Journal of Computational Physics},
  year     = {2015},
  volume   = {294},
  pages    = {312--328},
  issn     = {0021-9991},
  doi      = {10.1016/j.jcp.2015.03.055},
  file     = {:papers/2015/Woods - Verification of fluid-dynamic codes in the presence of shocks and other discontinuities.pdf:PDF},
  groups   = {To Read},
  keywords = {verification, numerics},
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}

@Article{Woodward1984,
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  journal  = {Journal of Computational Physics},
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  volume   = {54},
  pages    = {115--173},
  file     = {:papers/Woodward, Colella - 1984 - The numerical simulation of two-dimensional fluid flow with strong shocks.pdf:pdf},
  keywords = {numerics},
  url      = {http://www.sciencedirect.com/science/article/pii/0021999184901426},
}

@Article{Wu2008,
  author    = {Wu, Yongyan and Cheung, Kwok Fai},
  title     = {Explicit Solution to the Exact {Riemann} Problem and Application in Nonlinear Shallow-Water Equations},
  journal   = {International Journal for Numerical Methods in Fluids},
  year      = {2008},
  volume    = {57},
  pages     = {1649--1668},
  issn      = {1097-0363},
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  file      = {:papers/2008/Wu - Explicit Solution to the Exact Riemann Problem and Application in Nonlinear Shallow-Water Equations.pdf:PDF},
  keywords  = {numerics, Godunov-methods, gasdynamics},
  publisher = {John Wiley \& Sons, Ltd.},
}

@Article{Xu1997,
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@Article{Yao2014,
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  title    = {An Easy Method to Accelerate an Iterative Algebraic Equation Solver},
  journal  = j-jcp,
  year     = {2014},
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  pages    = {139--145},
  doi      = {10.1016/j.jcp.2014.02.027},
  file     = {:papers/2014/Yao - An Easy Method to Accelerate an Iterative Algebraic Equation Solver:PDF},
  keywords = {numerics, nonlinear-equations},
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@Article{Zeldovich1940,
  author   = {Zel'dovich, Yakov Borisovich},
  title    = {K Teorii Rasprostranenia Detonatsii v Gazoobraznykh Sistemakh},
  journal  = {Zhurnal Experimentalnoi i Teoreticheskoi Fiziki},
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  note     = {[English translation: 1950. ``The Theory of the Propagation of Detonation in Gaseous Systems''. National Advisory Committee for Aeronautics Technical Memorandum 1261]},
  file     = {:papers/1940/Zel'dovich - K Teorii Rasprostranenia Detonatsii v Gazoobraznykh Sistemakh.pdf:PDF},
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@Article{Zhang2011,
  author   = {Zhang, R and Zhang, M and Shu, CW},
  title    = {{On the order of accuracy and numerical performance of two classes of finite volume WENO schemes}},
  journal  = {Communication in Computational Physics},
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@Article{Zhang2012,
  author   = {Zhang, Xiangxiong and Shu, Chi-Wang},
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@Article{Годунов1959,
  author   = {Годунов, С. К.},
  title    = {Разностный метод численного расчета разрывных решений уравнений гидродинамики},
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@Article{1972,
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@Article{Солоухин1963,
  author   = {Солоухин, Р. И.},
  title    = {Детонационные волны в газах},
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@Article{Щёлкин1959,
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@Article{Щёлкин1965a,
  author   = {Щёлкин, К. И.},
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@Article{Samtaney2009,
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@Article{Godlewski1999,
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@Article{Roe1981,
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  journal  = j-jcp,
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@InProceedings{RoePike1985,
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  address   = {Amsterdam, The Netherlands},
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@Article{Roe1986,
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  title     = {Characteristic-Based Schemes for the {Euler} Equations},
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  publisher = {Annual Reviews},
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@InProceedings{Roe1987,
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  title     = {Upwind Differencing Schemes for Hyperbolic Conservation Laws with Source Terms},
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  year      = {1987},
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@Article{Osborne2014,
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@Article{Schnell2015,
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@Article{Dudley2009,
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@Article{Shade2015,
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  year       = {2009},
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@Article{Saucez2001,
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@Article{Stanisic2015,
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@InCollection{Thomson2007,
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@Article{Todoroki2006,
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@Article{Zudrop2015,
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@Article{Birkhoff1975,
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@Article{Berzins2013,
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  title    = {Data and range-bounded polynomials in {ENO} methods},
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  pages    = {62--70},
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@PhdThesis{Berkenbosch1995,
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  title    = {Capturing Detonation Waves for the Reactive {Euler} Equations},
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  year     = {1995},
  doi      = {10.6100/IR445469},
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@Article{Courant1952,
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  title    = {On the Solution of Nonlinear Hyperbolic Differential Equations by Finite Differences},
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@Article{Meyer2008,
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@Article{PerezRiverol2016,
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  title      = {Ten Simple Rules for Taking Advantage of {Git} and {GitHub}},
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  year       = {2016},
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@InProceedings{vanLeer2003,
  author    = {van Leer, Bram},
  title     = {Upwind and High-Resolution Methods for Compressible Flow: {From} Donor Cell to Residual-Distribution Schemes},
  booktitle = {16th {AIAA} Computational Fluid Dynamics Conference},
  year      = {2003},
  publisher = {American Institute of Aeronautics and Astronautics ({AIAA})},
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  file      = {:papers/2003/van Leer - Upwind and High-Resolution Methods for Compressible Flow From Donor Cell to Residual-Distribution Schemes.pdf:PDF},
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@Article{Berczuk2003,
  author   = {Berczuk, Steve},
  title    = {Pragmatic Software Configuration Management},
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  pages    = {15--17},
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@Article{Pareschi2005,
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@Article{Zhong1996,
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@Article{Najm1998,
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@Article{Knio1999,
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@Article{Gottlieb1982,
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@Article{Dorier1995,
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@Article{Kraaijevanger1991,
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  doi      = {10.1007/BF01933264},
  file     = {:papers/1991/Kraaijevanger - Contractivity of Runge-Kutta methods.pdf:PDF},
  keywords = {numerics, ODE, Runge--Kutta},
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@Article{Li2013,
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  journal  = {Chinese Science Bulletin},
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  keywords = {numerics, Runge--Kutta, detonation},
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@Article{Glaister1988b,
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  journal  = j-jcp,
  year     = {1988},
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  pages    = {361--383},
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  file     = {:papers/1988/Glaister - An Approximate Linearised Riemann Solver for the Three-dimensional Euler Equations for Real Gases Using Operator Splitting.pdf:PDF},
  keywords = {numerics, gasdynamics, riemann-solver},
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@Article{Glaister1988a,
  author    = {P. Glaister},
  title     = {An Approximate Linearised {Riemann} Solver for the {Euler} Equations for Real Gases},
  journal   = j-jcp,
  year      = {1988},
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  keywords  = {numerics, gasdynamics, riemann-solver},
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@Article{Kreiss1964,
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  file      = {:papers/1964/Kreiss - On Difference Approximations of the Dissipative Type for Hyperbolic Differential Equations.pdf:PDF},
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@Article{Schmid2007,
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@Article{Bdzil2007,
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@Article{Schmid2010,
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  file       = {:papers/2010/Schmid - Dynamic Mode Decomposition of Numerical and Experimental Data.pdf:PDF},
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@Article{TuEtAl2014,
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@Article{Proctor2016,
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@Article{Erpenbeck1965,
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@Article{Dawson2016,
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  pages      = {42},
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  doi        = {10.1007/s00348-016-2127-7},
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  keywords   = {DMD, time-series},
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@Article{Wynn2013,
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@Article{NoackEtAl2016,
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  journal    = j-jfm,
  year       = {2016},
  volume     = {809},
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  doi        = {10.1017/jfm.2016.678},
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@Article{GaryHelgason1970,
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@Article{HaganPriede2013,
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@Article{GavishDonoho2014,
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@Article{StankiewiczEtal2016,
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  title    = {Modal Decomposition-based Global Stability Analysis for Reduced Order Modeling of {2D} and {3D} Wake Flows},
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@Article{Hinsen2012CaringForData,
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@Article{PanXueWang2015,
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  journal  = {Experiments in Fluids},
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  pages    = {164},
  doi      = {10.1007/s00348-015-2015-6},
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@Article{Williams_2015,
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  pages    = {1307--1346},
  doi      = {10.1007/s00332-015-9258-5},
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  keywords = {DMD, time-series},
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@Article{KouZhang2017,
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  title      = {An Improved Criterion to Select Dominant Modes from Dynamic Mode Decomposition},
  journal    = {European Journal of Mechanics - B/Fluids},
  year       = {2017},
  volume     = {62},
  pages      = {109--129},
  doi        = {10.1016/j.euromechflu.2016.11.015},
  file       = {:papers/2017/Kou - An Improved Criterion to Select Dominant Modes from Dynamic Mode Decomposition.pdf:PDF},
  keywords   = {DMD, time-series},
  readstatus = {read},
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@Article{YaleRoundtable2010,
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  year     = {2010},
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  file     = {:papers/2010/Reproducible Research.pdf:PDF},
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@Misc{StoddenICERM2013,
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@InProceedings{ClaerboutKarrenbach1992,
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@Article{SayadiSchmidRichecoeurDurox2015,
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@Article{SippMarquetMeligaBarbagallo2010,
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@Article{HematiWilliamsRowley2014,
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@Article{TissotCordierBenardNoack2014,
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  pages    = {410--416},
  doi      = {10.1016/j.crme.2013.12.011},
  file     = {:papers/2014/Tissot - Model Reduction Using Dynamic Mode Decomposition.pdf:PDF},
  keywords = {DMD, time-series},
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@Article{Paskin1999,
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@Article{Eisenberg1982,
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@Article{TanShu2010,
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@Article{BistrianNavon2017,
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  year     = {2017},
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@Article{Bagheri_2014,
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  keywords = {DMD, time-series},
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@Article{BanksAslamRider2008,
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@Article{LaxRichtmyer1956,
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@Article{DongarraTomovLuszczekEtal2017,
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@Article{Kolgan1978,
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@Article{Soderlind2006,
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@Article{Shampine2007,
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@Article{ZhangEtAl2017,
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  title         = {Evaluating the accuracy of the dynamic mode decomposition},
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  year          = {2017},
  archiveprefix = {arXiv},
  date          = {2017-10-02},
  eprint        = {1710.00745v1},
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@Article{Soderlind2015,
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  doi      = {10.1007/s10543-014-0503-3},
  file     = {:papers/2015/Soderlind - Stiffness 1952-2012 Sixty years in search of a definition.pdf:PDF},
  keywords = {numerics, ODE, stiffness},
}

@InCollection{Shampine1977,
  author    = {Shampine, L. F. and Watts, H. A.},
  title     = {The Art of Writing a {Runge-Kutta} Code, {Part} {I}},
  booktitle = {Mathematical Software},
  publisher = {Elsevier},
  year      = {1977},
  pages     = {257--275},
  note      = {Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, March 28–30, 1977},
  doi       = {10.1016/b978-0-12-587260-7.50014-5},
  file      = {:papers/1977/Shampine - The Art of Writing a Runge-Kutta Code, Part I.pdf:PDF},
  keywords  = {numerics, ODE},
}

@Article{ShampineWatts1979,
  author   = {Lawrence F. Shampine and Herman A. Watts},
  title    = {The Art of Writing a {Runge-Kutta} Code. {II}},
  journal  = {Applied Mathematics and Computation},
  year     = {1979},
  volume   = {5},
  pages    = {93--121},
  doi      = {10.1016/0096-3003(79)90001-8},
  file     = {:papers/1979/ShampineWatts1979 - The art of writing a Runge-Kutta code. II.pdf:PDF},
  keywords = {numerics, ODE},
}

@Article{Shampine2005,
  author   = {L. F. Shampine},
  title    = {Error estimation and control for {ODEs}},
  journal  = {Journal of Scientific Computing},
  year     = {2005},
  volume   = {25},
  pages    = {3--16},
  doi      = {10.1007/bf02728979},
  file     = {:papers/2005/Shampine2005 - Error estimation and control for ODEs.pdf:PDF},
  keywords = {numerics, ODE},
}

@Article{Huang.etal1998,
  author   = {Norden E. Huang and Zheng Shen and Steven R. Long and Manli C. Wu and Hsing H. Shih and Quanan Zheng and Nai-Chyuan Yen and Chi Chao Tung and Henry H. Liu},
  title    = {The Empirical Mode Decomposition and the {Hilbert} Spectrum for Nonlinear and Non-Stationary Time Series Analysis},
  journal  = {Proceedings: Mathematical, Physical and Engineering Sciences},
  year     = {1998},
  volume   = {454},
  pages    = {903--995},
  file     = {:papers/1998/Huang.etal1998 - The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis.pdf:PDF},
  keywords = {numerics, time-series, EMD},
  url      = {http://www.jstor.org/stable/53161},
}

@TechReport{KennedyCarpenter2001a,
  author      = {Kennedy, Christopher A. and Carpenter, Mark H.},
  title       = {Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations},
  institution = {NASA Langley Research Center},
  year        = {2001},
  note        = {Technical Report NASA/TM-2001-211038},
  file        = {:papers/2001/KennedyCarpenter2001 - Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations.pdf:PDF},
  keywords    = {numerics, ODE, Runge--Kutta},
  url         = {https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20010075154.pdf},
}

@Article{SchmidEtAl2011,
  author   = {P. J. Schmid and L. Li and M. P. Juniper and O. Pust},
  title    = {Applications of the Dynamic Mode Decomposition},
  journal  = {Theoretical and Computational Fluid Dynamics},
  year     = {2011},
  volume   = {25},
  pages    = {249--259},
  doi      = {10.1007/s00162-010-0203-9},
  file     = {:papers/2011/SchmidEtAl2011 - Applications of the dynamic mode decomposition.pdf:PDF;:SchmidEtAl2011 - Applications of the dynamic mode decomposition.pdf:PDF},
  keywords = {time-series, DMD},
}

@Article{KassamTrefethen2005,
  author   = {Kassam, Aly-Khan and Trefethen, Lloyd N.},
  title    = {Fourth-Order Time-Stepping for Stiff {PDEs}},
  journal  = j-sisc,
  year     = {2005},
  volume   = {26},
  pages    = {1214--1233},
  doi      = {10.1137/s1064827502410633},
  file     = {:papers/2005/KassamTrefethen2005 - Fourth-order Time-stepping for Stiff PDEs.pdf:PDF},
  keywords = {numerics, ODEs, stiffness},
}

@Book{GolyandinaZhigljavsky2013,
  title     = {Singular spectrum analysis for time series},
  publisher = {Springer},
  year      = {2013},
  author    = {Nina Golyandina and Anatoly Zhigljavsky},
  doi       = {10.1007/978-3-642-34913-3},
  keywords  = {time-series},
}

@Article{McLachlanQuispel2006,
  author   = {Robert I. McLachlan and Quispel, G. Reinout W.},
  title    = {Geometric integrators for {ODEs}},
  journal  = {Journal of Physics A: Mathematical and General},
  year     = {2006},
  volume   = {39},
  pages    = {5251},
  doi      = {10.1088/0305-4470/39/19/S01},
  file     = {:papers/2006/McLachlanQuispel2006 - Geometric integrators for ODEs.pdf:PDF},
  keywords = {numerics, ODE},
}

@Book{Laney1998,
  title     = {Computational Gasdynamics},
  publisher = {Cambridge University Press},
  year      = {1998},
  author    = {Laney, Culbert B.},
}

@Article{TakiFujiwara1978,
  author   = {S. Taki and T. Fujiwara},
  title    = {Numerical Analysis of Two-Dimensional Nonsteady Detonations},
  journal  = {{AIAA} Journal},
  year     = {1978},
  volume   = {16},
  pages    = {73--77},
  doi      = {10.2514/3.60859},
  file     = {:papers/1978/TakiFujiwara1978 - Numerical Analysis of Two-Dimensional Nonsteady Detonations.pdf:PDF},
  keywords = {numerics, detonation},
}

@Article{Barthel1972,
  author   = {Harold O. Barthel},
  title    = {Reaction Zone-Shock Front Coupling in Detonations},
  journal  = {Physics of Fluids},
  year     = {1972},
  volume   = {15},
  pages    = {43},
  doi      = {10.1063/1.1693753},
  file     = {:papers/1972/Barthel1972 - Reaction Zone‐Shock Front Coupling in Detonations.pdf:PDF},
  keywords = {detonation},
}

@Book{Emanuel2015,
  title     = {Analytical Fluid Dynamics},
  publisher = {CRC Press},
  year      = {2015},
  author    = {Emanuel, G.},
  edition   = {Third},
  keywords  = {analytics, gasdynamics},
}

@Article{AbouseifToong1982,
  author   = {Abouseif, G. E. and Toong, T. Y.},
  title    = {Theory of Unstable One-dimensional Detonations},
  journal  = {Combustion and Flame},
  year     = {1982},
  volume   = {45},
  pages    = {67--94},
  doi      = {10.1016/0010-2180(82)90034-7},
  file     = {:papers/1982/AbouseifToong1982 - Theory of Unstable One-dimensional Detonations.pdf:PDF},
  keywords = {detonation, stability},
}

@Article{Short1997,
  author   = {Short, Mark},
  title    = {Multidimensional Linear Stability of a Detonation Wave at High Activation Energy},
  journal  = {SIAM Journal on Applied Mathematics},
  year     = {1997},
  volume   = {57},
  pages    = {307--326},
  doi      = {10.1137/S0036139995288101},
  file     = {:papers/1997/Short - Multidimensional Linear Stability of a Detonation Wave at High Activation Energy.pdf:PDF},
  keywords = {detonation, linear-stability-analysis},
}

@Article{Siegmund-SchultzeZabell2007,
  author    = {Reinhard Siegmund-Schultze and Sandy Zabell},
  title     = {{Richard von Mises} and the "Problem of Two Races": {A} Statistical Satire in 1934},
  journal   = {Historia Mathematica},
  year      = {2007},
  volume    = {34},
  pages     = {206--220},
  doi       = {10.1016/j.hm.2006.05.004},
  file      = {:Siegmund-SchultzeZabell2007 - Richard von Mises and the {_textquotedblleft}problem of two races{_textquotedblright}_ A statistical satire in 1934.pdf:PDF},
  keywords  = {math-history},
  publisher = {Elsevier {BV}},
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@Article{Grattan-Guinness2004,
  author    = {I. Grattan-Guinness},
  title     = {The Mathematics of the Past: Distinguishing Its History from Our Heritage},
  journal   = {Historia Mathematica},
  year      = {2004},
  volume    = {31},
  pages     = {163--185},
  doi       = {10.1016/s0315-0860(03)00032-6},
  file      = {:papers/2004/Grattan-Guinness2004 - The Mathematics of the Past_ Distinguishing Its History from Our Heritage.pdf:PDF},
  keywords  = {math-history},
  publisher = {Elsevier {BV}},
}

@Article{Phillips1978,
  author    = {Esther R Phillips},
  title     = {Nicolai Nicolaevich Luzin and the Moscow school of the theory of functions},
  journal   = {Historia Mathematica},
  year      = {1978},
  volume    = {5},
  pages     = {275--305},
  doi       = {10.1016/0315-0860(78)90114-3},
  file      = {:papers/1978/Phillips1978 - Nicolai Nicolaevich Luzin and the Moscow school of the theory of functions.pdf:PDF},
  keywords  = {math-history},
  publisher = {Elsevier {BV}},
}

@Article{Daston1979,
  author    = {Daston, L. J.},
  title     = {D'alembert's Critique of Probability Theory},
  journal   = {Historia Mathematica},
  year      = {1979},
  volume    = {6},
  pages     = {259--279},
  doi       = {10.1016/0315-0860(79)90125-3},
  file      = {:papers/1979/Daston1979 - D'alembert's Critique of Probability Theory.pdf:PDF},
  keywords  = {math-history},
  publisher = {Elsevier {BV}},
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@Article{Feigenbaum1978,
  author  = {Mitchell J. Feigenbaum},
  title   = {Quantitative universality for a class of nonlinear transformations},
  journal = {Journal of Statistical Physics},
  year    = {1978},
  volume  = {19},
  pages   = {25--52},
  doi     = {10.1007/bf01020332},
  file    = {:papers/1978/Feigenbaum1978 - Quantitative universality for a class of nonlinear transformations.pdf:PDF},
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@Article{Feigenbaum1979,
  author  = {Mitchell J. Feigenbaum},
  title   = {The universal metric properties of nonlinear transformations},
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  year    = {1979},
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  pages   = {669--706},
  doi     = {10.1007/bf01107909},
  file    = {:papers/1979/Feigenbaum1979 - The universal metric properties of nonlinear transformations.pdf:PDF},
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@Book{LeVeque2002,
  title     = {Finite Volume Methods for Hyperbolic Problems},
  publisher = {Cambridge University Press},
  year      = {2002},
  author    = {LeVeque, Randall J.},
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  keywords  = {numerics},
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@Book{PressEtAl2007,
  title     = {Numerical Recipes: {The} Art of Scientific Computing},
  publisher = {Cambridge University Press},
  year      = {2007},
  author    = {Press, William H. and Teukolsky, Saul A. and Vetterling, William T. and Flannery, Brian P.},
  edition   = {3},
  keywords  = {numerics},
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@PhdThesis{Faria2014,
  author   = {Faria, Luiz M.},
  title    = {Qualitative and asymptotic theory of detonations},
  school   = {King Abdullah University of Science and Technology},
  year     = {2014},
  file     = {:papers/2014/Faria2014 - Qualitative and Asymptotic Theory of Detonations.pdf:PDF},
  keywords = {detonation},
  url      = {http://hdl.handle.net/10754/335798},
}

@Article{Burgers1948,
  author  = {Burgers, J. M.},
  title   = {A Mathematical Model Illustrating the Theory of Turbulence},
  journal = {Advances in Applied Mechanics},
  year    = {1948},
  volume  = {1},
  pages   = {171-199},
  doi     = {10.1016/S0065-2156(08)70100-5},
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@Article{BrestenEtAl2016,
  author    = {Christopher Bresten and Sigal Gottlieb and Zachary Grant and Daniel Higgs and David I. Ketcheson and Adrian N{\'{e}}meth},
  title     = {Explicit Strong Stability Preserving Multistep {Runge}{\textendash}{Kutta} Methods},
  journal   = {Mathematics of Computation},
  year      = {2016},
  volume    = {86},
  pages     = {747--769},
  doi       = {10.1090/mcom/3115},
  publisher = {American Mathematical Society ({AMS})},
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@Article{ZharovskyEtAl2015,
  author    = {Evgeniy Zharovsky and Adrian Sandu and Hong Zhang},
  title     = {A Class Of Implicit-Explicit Two-Step {Runge--Kutta} Methods},
  journal   = {{SIAM} Journal on Numerical Analysis},
  year      = {2015},
  volume    = {53},
  pages     = {321--341},
  doi       = {10.1137/130937883},
  publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
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@Article{BoscarinoPareschi2017,
  author    = {S. Boscarino and L. Pareschi},
  title     = {On the Asymptotic Properties of {IMEX} {Runge}{\textendash}{Kutta} Schemes for Hyperbolic Balance Laws},
  journal   = {Journal of Computational and Applied Mathematics},
  year      = {2017},
  volume    = {316},
  pages     = {60--73},
  doi       = {10.1016/j.cam.2016.08.027},
  publisher = {Elsevier {BV}},
}

@Article{WeissMcDonough1963,
  author    = {L. Weiss and R. N. McDonough},
  title     = {Prony's Method, Z-Transforms, and Pad{\'{e}} Approximation},
  journal   = {{SIAM} Review},
  year      = {1963},
  volume    = {5},
  pages     = {145--149},
  doi       = {10.1137/1005035},
  publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
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@InProceedings{SchmidSesterhenn2008,
  author    = {Schmid, P. and Sesterhenn, J.},
  title     = {{Dynamic Mode Decomposition of numerical and experimental data}},
  booktitle = {APS Division of Fluid Dynamics Meeting Abstracts},
  year      = {2008},
  pages     = {MR.007},
  adsnote   = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl    = {http://adsabs.harvard.edu/abs/2008APS..DFD.MR007S},
  eid       = {MR.007},
}

@Article{BruntonEtAl2017,
  author    = {Steven L. Brunton and Bingni W. Brunton and Joshua L. Proctor and Eurika Kaiser and J. Nathan Kutz},
  title     = {Chaos as an intermittently forced linear system},
  journal   = {Nature Communications},
  year      = {2017},
  volume    = {8},
  doi       = {10.1038/s41467-017-00030-8},
  keywords  = {DMD},
  publisher = {Springer Nature},
}

@Article{DukeEtAl2011,
  author    = {Daniel Duke and Julio Soria and Damon Honnery},
  title     = {An error analysis of the dynamic mode decomposition},
  journal   = {Experiments in Fluids},
  year      = {2011},
  volume    = {52},
  pages     = {529--542},
  doi       = {10.1007/s00348-011-1235-7},
  keywords  = {DMD},
  publisher = {Springer Nature},
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@Article{Koopman1931,
  author   = {Koopman, B. O.},
  title    = {Hamiltonian Systems and Transformation in {Hilbert} Space},
  journal  = {Proceedings of the National Academy of Sciences},
  year     = {1931},
  volume   = {17},
  pages    = {315--318},
  file     = {:papers/1931/Koopman1931 - Hamiltonian Systems and Transformation in Hilbert Space.pdf:PDF},
  keywords = {DMD},
  url      = {http://www.pnas.org/content/17/5/315},
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@Book{Holmes2009,
  title     = {Introduction to the Foundations of Applied Mathematics},
  publisher = {Springer New York},
  year      = {2009},
  author    = {Holmes, Mark H.},
  volume    = {56},
  series    = {Texts in Applied Mathematics},
  doi       = {10.1007/978-0-387-87765-5},
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@Article{BruntonEtAl2016PONE,
  author   = {Steven L. Brunton and Bingni W. Brunton and Joshua L. Proctor and J. Nathan Kutz},
  title    = {Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control},
  journal  = {PLOS ONE},
  year     = {2016},
  volume   = {11},
  pages    = {e0150171},
  doi      = {10.1371/journal.pone.0150171},
  file     = {:papers/2016/BruntonEtAl2016PONE - Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control.pdf:PDF},
  keywords = {DMD},
}

@Article{BudisicEtAl2012,
  author   = {Marko Budi{\v{s}}i{\'{c}} and Ryan Mohr and Igor Mezi{\'{c}}},
  title    = {Applied Koopmanism},
  journal  = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  year     = {2012},
  volume   = {22},
  pages    = {047510},
  doi      = {10.1063/1.4772195},
  file     = {:papers/2012/BudisicEtAl2012 - Applied Koopmanism.pdf:},
  keywords = {DMD},
}

@Article{Mezic2013,
  author   = {Igor Mezi{\'{c}}},
  title    = {Analysis of Fluid Flows via Spectral Properties of the {Koopman} Operator},
  journal  = {Annual Review of Fluid Mechanics},
  year     = {2013},
  volume   = {45},
  pages    = {357--378},
  doi      = {10.1146/annurev-fluid-011212-140652},
  keywords = {DMD},
}

@Article{Mezic2005,
  author   = {Igor Mezi{\'{c}}},
  title    = {Spectral Properties of Dynamical Systems, Model Reduction and Decompositions},
  journal  = {Nonlinear Dynamics},
  year     = {2005},
  volume   = {41},
  pages    = {309--325},
  doi      = {10.1007/s11071-005-2824-x},
  file     = {:Mezic2005 - Spectral Properties of Dynamical Systems, Model Reduction and Decompositions.pdf:PDF},
  keywords = {DMD},
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@Article{RowleyEtAl2009,
  author   = {Rowley, Clarence W. and Mezi{\'{c}}, Igor and Bagheri, Shervin and Schlatter, Philipp and Henningson, Dan S.},
  title    = {Spectral Analysis of Nonlinear Flows},
  journal  = j-jfm,
  year     = {2009},
  volume   = {641},
  pages    = {115},
  doi      = {10.1017/s0022112009992059},
  file     = {:papers/2009/RowleyEtAl2009 - Spectral Analysis of Nonlinear Flows.pdf:PDF},
  keywords = {DMD},
}

@Article{ClarkeEtAl1993JCP,
  author   = {J. F. Clarke and S. Karni and J. J. Quirk and P. L. Roe and L. G. Simmonds and E. F. Toro},
  title    = {Numerical Computation of Two-Dimensional Unsteady Detonation Waves in High Energy Solids},
  journal  = j-jcp,
  year     = {1993},
  volume   = {106},
  pages    = {215--233},
  doi      = {10.1016/S0021-9991(83)71104-6},
  file     = {:papers/1993/Clarke - Numerical Computation of Two-Dimensional Unsteady Detonation Waves in High Energy Solids.pdf:PDF;:papers/1993/Clarke - Numerical Computation of Two-Dimensional Unsteady Detonation Waves in High Energy Solids Tech Report.pdf:PDF},
  keywords = {detonation, numerics, CFD},
}

@Article{LanMezic2013,
  author   = {Yueheng Lan and Igor Mezi{\'{c}}},
  title    = {Linearization in the Large of Nonlinear Systems and {Koopman} Operator Spectrum},
  journal  = {Physica D: Nonlinear Phenomena},
  year     = {2013},
  volume   = {242},
  pages    = {42--53},
  doi      = {10.1016/j.physd.2012.08.017},
  file     = {:papers/2013/LanMezic2013 - Linearization in the Large of Nonlinear Systems and Koopman Operator Spectrum.pdf:PDF},
  keywords = {time-series, DMD},
}

@Article{KabanovKasimov2018,
  author   = {Dmitry I. Kabanov and Aslan R. Kasimov},
  title    = {Linear Stability Analysis of Detonations Via Numerical Computation and Dynamic Mode Decomposition},
  journal  = {Physics of Fluids},
  year     = {2018},
  volume   = {30},
  pages    = {036103},
  doi      = {10.1063/1.5020558},
  file     = {:papers/2018/KabanovKasimov2018 - Linear Stability Analysis of Detonations Via Numerical Computation and Dynamic Mode Decomposition.pdf:PDF},
  keywords = {detonation},
}

@Article{RowleyDawson2017,
  author   = {Clarence W. Rowley and Scott T.M. Dawson},
  title    = {Model Reduction for Flow Analysis and Control},
  journal  = {Annual Review of Fluid Mechanics},
  year     = {2017},
  volume   = {49},
  pages    = {387--417},
  doi      = {10.1146/annurev-fluid-010816-060042},
  file     = {:papers/2017/RowleyDawson2017 - Model Reduction for Flow Analysis and Control.pdf:PDF},
  keywords = {time-series, DMD},
}

@Article{KunertEtAl2017,
  author   = {James M. Kunert and Joshua L. Proctor and Steven L. Brunton and J. Nathan Kutz},
  title    = {Spatiotemporal Feedback and Network Structure Drive and Encode {Caenorhabditis} elegans Locomotion},
  journal  = {{PLOS} Computational Biology},
  year     = {2017},
  volume   = {13},
  pages    = {e1005303},
  doi      = {10.1371/journal.pcbi.1005303},
  file     = {:papers/2017/KunertEtAl2017 - Spatiotemporal Feedback and Network Structure Drive and Encode Caenorhabditis elegans Locomotion.pdf:PDF},
  keywords = {time-series, DMD},
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@Article{BruntonEtAl2016JNM,
  author   = {Brunton, Bingni W. and Johnson, Lise A. and Ojemann, Jeffrey G. and Kutz, J. Nathan},
  title    = {Extracting Spatial{\textendash}temporal Coherent Patterns in Large-scale Neural Recordings Using Dynamic Mode Decomposition},
  journal  = {Journal of Neuroscience Methods},
  year     = {2016},
  volume   = {258},
  pages    = {1--15},
  doi      = {10.1016/j.jneumeth.2015.10.010},
  file     = {:papers/2016/BruntonEtAl2016JNM - Extracting Spatial-temporal Coherent Patterns in Large-scale Neural Recordings Using Dynamic Mode Decomposition.pdf:PDF},
  keywords = {time-series, DMD},
}

@Article{WescottEtAl2004,
  author   = {Wescott, B. L. and Stewart, D. Scott and Bdzil, J. B.},
  title    = {On Self-similarity of Detonation Diffraction},
  journal  = {Physics of Fluids},
  year     = {2004},
  volume   = {16},
  pages    = {373--384},
  doi      = {10.1063/1.1633552},
  file     = {:papers/2004/WescottEtAl2004 - On Self-similarity of Detonation Diffraction.pdf:PDF},
  keywords = {detonation},
}

@Article{ShortEtAl2006,
  author   = {Short, Mark and Bdzil, John B. and Anguelova, Iana I.},
  title    = {Stability of Chapman{\textendash}Jouguet detonations for a stiffened-gas model of condensed-phase explosives},
  journal  = j-jfm,
  year     = {2006},
  volume   = {552},
  pages    = {299-309},
  doi      = {10.1017/s0022112005008347},
  file     = {:papers/2006/ShortEtAl2006 - Stability of Chapman-Jouguet detonations for a stiffened-gas model of condensed-phase explosives.pdf:PDF},
  keywords = {detonation},
}

@Article{MassaEtAl2012,
  author   = {Massa, L. and Kumar, R. and Ravindran, P.},
  title    = {Dynamic Mode Decomposition Analysis of Detonation Waves},
  journal  = {Physics of Fluids},
  year     = {2012},
  volume   = {24},
  pages    = {066101},
  doi      = {10.1063/1.4727715},
  file     = {:papers/2012/MassaEtAl2012 - Dynamic Mode Decomposition Analysis of Detonation Waves.pdf:PDF},
  keywords = {detonation, DMD},
}

@Article{Schmid2011,
  author   = {Peter J. Schmid},
  title    = {Application of the Dynamic Mode Decomposition to Experimental Data},
  journal  = {Experiments in Fluids},
  year     = {2011},
  volume   = {50},
  pages    = {1123--1130},
  doi      = {10.1007/s00348-010-0911-3},
  keywords = {time-series, DMD},
}

@Article{ErichsonDonovan2016,
  author   = {N. Benjamin Erichson and Carl Donovan},
  title    = {Randomized Low-rank Dynamic Mode Decomposition for Motion Detection},
  journal  = {Computer Vision and Image Understanding},
  year     = {2016},
  volume   = {146},
  pages    = {40--50},
  doi      = {10.1016/j.cviu.2016.02.005},
  keywords = {DMD},
}

@Book{KutzEtAl2016Book,
  title     = {Dynamic Mode Decomposition},
  publisher = {Society for Industrial and Applied Mathematics},
  year      = {2016},
  author    = {J. Nathan Kutz and Steven L. Brunton and Bingni W. Brunton and Joshua L. Proctor},
  doi       = {10.1137/1.9781611974508},
  keywords  = {DMD},
}

@Article{ChenEtAl2012,
  author   = {Kevin K. Chen and Jonathan H. Tu and Clarence W. Rowley},
  title    = {Variants of Dynamic Mode Decomposition: {Boundary} Condition, {Koopman}, and {Fourier} Analyses},
  journal  = {Journal of Nonlinear Science},
  year     = {2012},
  volume   = {22},
  pages    = {887--915},
  doi      = {10.1007/s00332-012-9130-9},
  keywords = {DMD},
}

@Article{BerthelotVieille1881,
  author   = {M. Berthelot and P. Vieille},
  title    = {Sur la vitesse des propagation des phenomenes explosifs dans le gaz [On the velocity of propagation of explosive processes in gases]},
  journal  = {Comptes rendus de l'Acad{\'{e}}mie des Sciences},
  year     = {1881},
  volume   = {93},
  pages    = {18--21},
  keywords = {detonation},
}

@Article{MallardChatelier1881,
  author   = {E. Mallard and H. Le Chatelier},
  title    = {Sur la vitesse de propagation de l'inflammation dans les melanges explosifs},
  journal  = {Comptes rendus de l'Acad{\'{e}}mie des Sciences},
  year     = {1881},
  volume   = {93},
  pages    = {145--148},
  keywords = {detonation},
}

@Book{ZeldovichKompaneets1955,
  title     = {Theory of detonation},
  publisher = {Gostekhizdat},
  year      = {1955},
  author    = {Zel'dovich, Y. B. and Kompaneets, A. S.},
  address   = {Moscow},
  note      = {[English translation: 1960. ``Theory of Detonations'', Academic Press, New York]},
  keywords  = {detonation},
}

@Book{CourantFriedrichs1948,
  title     = {Supersonic Flow and Shock Waves},
  publisher = {Interscience},
  year      = {1948},
  author    = {Courant, Richard and Friedrichs, Kurt Otto},
}

@Book{Hildebrand1987,
  title     = {Introduction to numerical analysis},
  publisher = {Dover Publications},
  year      = {1987},
  author    = {Hildebrand, Francis Begnaud},
  keywords  = {numerics},
}

@Article{SowEtAl2017,
  author   = {Aliou Sow and Roman E. Semenko and Aslan R. Kasimov},
  title    = {On a Stabilization Mechanism for Low-velocity Detonations},
  journal  = j-jfm,
  year     = {2017},
  volume   = {816},
  pages    = {539--553},
  doi      = {10.1017/jfm.2017.70},
  keywords = {detonation},
}

@Article{JovanovicEtAl2014,
  author    = {Jovanovi{\'{c}}, Mihailo R. and Schmid, Peter J. and Nichols, Joseph W.},
  title     = {Sparsity-promoting Dynamic Mode Decomposition},
  journal   = {Physics of Fluids},
  year      = {2014},
  volume    = {26},
  number    = {2},
  pages     = {024103},
  month     = feb,
  doi       = {10.1063/1.4863670},
  file      = {:papers/2014/Jovanovic - Sparsity-promoting Dynamic Mode Decomposition.pdf:PDF},
  keywords  = {CFD, DMD, time-series},
  publisher = {{AIP} Publishing},
}

@Book{BoydVandenberghe2004,
  title     = {Convex Optimization},
  publisher = {Cambridge University Press},
  year      = {2004},
  author    = {Boyd, Stephen and Vandenberghe, Lieven},
  doi       = {10.1017/cbo9780511804441},
  keywords  = {numerics, optimization},
}

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