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Leftover ideas for ODEs #994

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JordiManyer opened this issue Apr 12, 2024 · 0 comments
Open

Leftover ideas for ODEs #994

JordiManyer opened this issue Apr 12, 2024 · 0 comments

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@JordiManyer
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Leftover ideas after #985

TODO

Some Runge-Kutta schemes have the First-Same-As-Last (FSAL) property, that enables sharing a residual evaluation from one step to the next. It may not be possible to have this optimisation in our case because of the Dirichlet boundary conditions.

Ideas for later

  • Adaptive time-stepping with embedded Runge-Kutta methods or Richardson extrapolation
  • Linear multistep methods (Adam-Bashford, Adam-Moulton, Backward Difference Formula)
  • General linear methods
  • Numerical methods for differential-algebraic systems of equations (DAEs)
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