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src/semidiscretization/semidiscretization_hyperbolic_parabolic.jl

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@@ -277,6 +277,9 @@ SciML ecosystem.
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Optional keyword arguments:
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- `jac_prototype_parabolic`: Expected to come from [SparseConnectivityTracer.jl](https://github.com/adrhill/SparseConnectivityTracer.jl).
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Specifies the sparsity structure of the parabolic function's Jacobian to enable e.g. efficient implicit time stepping.
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The [SplitODEProblem](https://docs.sciml.ai/DiffEqDocs/stable/types/split_ode_types/#SciMLBase.SplitODEProblem) only expects the Jacobian
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to be defined on the first function it takes in, which is treated implicitly. This corresponds to the parabolic right-hand side in Trixi.
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The hyperbolic right-hand side is treated explicitly, and therefore its Jacobian is irrelevant.
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- `colorvec_parabolic`: Expected to come from [SparseMatrixColorings.jl](https://github.com/gdalle/SparseMatrixColorings.jl).
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Allows for even faster Jacobian computation. Not necessarily required when `jac_prototype_parabolic` is given.
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"""

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