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docs/src/highlevels/modeling_languages.md

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## DiffEqFinancial.jl: Financial models for use in the DifferentialEquations ecosystem
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The goal of [DiffEqFinancial.jl](https://github.com/SciML/DiffEqFinancial.jl/commits/master) is to be a feature-complete set
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The goal of [DiffEqFinancial.jl](https://github.com/SciML/DiffEqFinancial.jl/) is to be a feature-complete set
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of solvers for the types of problems found in libraries like QuantLib, such as the Heston process or the
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Black-Scholes model.
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docs/src/showcase/gpu_spde.md

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function f(du,u,p,t) to the ODE solver.
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Now, since PDEs are large, many times we don't care about getting the whole timeseries. Using
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the [output controls from DifferentialEquations.jl](https://diffeq.sciml.ai/latest/basics/common_solver_opts.html#Output-Control-1), we can make it only output the final timepoint.
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the [output controls from DifferentialEquations.jl](https://docs.sciml.ai/DiffEqDocs/stable/basics/common_solver_opts/), we can make it only output the final timepoint.
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```julia
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prob = ODEProblem(f, u0, (0.0, 100.0))

docs/src/showcase/symbolic_analysis.md

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It turns out that this is a property of the DAE that we are attempting to solve.
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This kind of DAE is known as an index-3 DAE. For a complete discussion of DAE
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index, see [this article](https://www.scholarpedia.org/article/Differential-algebraic_equations).
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index, see [this article](http://www.scholarpedia.org/article/Differential-algebraic_equations).
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Essentially, the issue here is that we have 4 differential variables (``x``, ``v_x``, ``y``, ``v_y``)
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and one algebraic variable ``T`` (which we can know because there is no `D(T)`
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term in the equations). An index-1 DAE always satisfies that the Jacobian of

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