gridap / gridap/Gridap.jl

Leftover ideas for ODEs

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Description

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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