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When implicit methods have explicit first or last stages, one can solve a linear system with one fewer stage, but our logic has to be updated accordingly
advance has to start and/or end with the relevant explicit updates
form manipulation has to produce the reduced linear system on a smaller number of stages
we have to make sure we don't break anything along the way.
Additionally, certain methods with explicit first stage (e.g. LobattoIIIA, aka Crank-Nicolson) have a no-op explicit first stage. Currently, doing Crank-Nicolson in Irksome is just not competitive since one solves for two stages instead of one (Implicit midpoint/GL(1) is equivalent for linear problems and works fine for nonlinear and doesn't have this problem).
The text was updated successfully, but these errors were encountered:
When implicit methods have explicit first or last stages, one can solve a linear system with one fewer stage, but our logic has to be updated accordingly
advance
has to start and/or end with the relevant explicit updatesAdditionally, certain methods with explicit first stage (e.g. LobattoIIIA, aka Crank-Nicolson) have a no-op explicit first stage. Currently, doing Crank-Nicolson in Irksome is just not competitive since one solves for two stages instead of one (Implicit midpoint/GL(1) is equivalent for linear problems and works fine for nonlinear and doesn't have this problem).
The text was updated successfully, but these errors were encountered: