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‎references/index.html‎

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<span id="FeketeEtAl2025">I. Fekete, F. Izsák, V. P. Kupás, and G. Söderlind, “Tolerance Proportionality and Computational Stability in Adaptive Parallel-in-Time Runge–Kutta Methods,” <i>Algorithms</i>, vol. 18, no. 8, p. 484, Aug. 2025, doi: 10.3390/a18080484. [Online]. Available at: <a href="http://dx.doi.org/10.3390/a18080484" target="_blank">http://dx.doi.org/10.3390/a18080484</a></span>
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<pre class="abstract">@article{FeketeEtAl2025,
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author = {Fekete, Imre and Izsák, Ferenc and Kupás, Vendel P. and Söderlind, Gustaf},
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doi = {10.3390/a18080484},
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issn = {1999-4893},
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journal = {Algorithms},
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month = aug,
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number = {8},
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pages = {484},
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publisher = {MDPI AG},
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title = {Tolerance Proportionality and Computational Stability in Adaptive Parallel-in-Time Runge–Kutta Methods},
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url = {http://dx.doi.org/10.3390/a18080484},
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volume = {18},
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year = {2025}
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}
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<span id="GuEtAl2025">H. Gu, F. Ballarin, M. Cai, and J. Li, “POD-based reduced order modeling of global-in-time iterative decoupled algorithms for Biot’s consolidation model,” arXiv:2508.04082v1 [math.NA], 2025 [Online]. Available at: <a href="http://arxiv.org/abs/2508.04082v1" target="_blank">http://arxiv.org/abs/2508.04082v1</a></span>
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author = {Gu, Huipeng and Ballarin, Francesco and Cai, Mingchao and Li, Jingzhi},
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howpublished = {arXiv:2508.04082v1 [math.NA]},
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title = {POD-based reduced order modeling of global-in-time iterative decoupled algorithms for Biot's consolidation model},
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url = {http://arxiv.org/abs/2508.04082v1},
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year = {2025}
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}
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This paper focuses on the efficient numerical algorithms of a three-field Biot’s consolidation model. The approach begins with the introduction of innovative monolithic and global-in-time iterative decoupled algorithms, which incorporate the backward differentiation formulas for time discretization. In each iteration, these algorithms involve solving a diffusion subproblem over the entire temporal domain, followed by solving a generalized Stokes subproblem over the same time interval. To accelerate the global-in-time iterative process, we present a reduced order modeling approach based on proper orthogonal decomposition, aimed at reducing the primary computational cost from the generalized Stokes subproblem. The effectiveness of this novel method is validated both theoretically and through numerical experiments.
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<span id="ZhangEtAl2025b">R.-H. Zhang, J. Li, and Y.-L. Jiang, “On Krylov Subspace Implementation of ParaExp for Linear Switched Systems,” <i>IEEE Control Systems Letters</i>, pp. 1–1, 2025, doi: 10.1109/lcsys.2025.3595189. [Online]. Available at: <a href="http://dx.doi.org/10.1109/LCSYS.2025.3595189" target="_blank">http://dx.doi.org/10.1109/LCSYS.2025.3595189</a></span>
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author = {Zhang, Ren-Hao and Li, Jun and Jiang, Yao-Lin},
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doi = {10.1109/lcsys.2025.3595189},
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issn = {2475-1456},
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journal = {IEEE Control Systems Letters},
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pages = {1–1},
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publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
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title = {On Krylov Subspace Implementation of ParaExp for Linear Switched Systems},
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url = {http://dx.doi.org/10.1109/LCSYS.2025.3595189},
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