Performance of ARS343

[charleskawczynski]

Verify number of iterations

• 3 num implicit stages
  • Wfact! (should be called 1 time, called 3 for now)
  • linsolve! 3 * num newton iterations
  • implicit_tendency_generic! 3 * num newton iterations
• 4 num explicit stages
  • remaining_tendency_increment! 4
• 3 expected convergence order

Reduce number of Newton iterations

• It may be that we only need a single newton iteration, like Rosenbrock23

Reduce number of Wfact! calls

• Jacobian (reduce number of Wfact!s)

Inference

• remove @generated?

ForwardEulerFunction

I wrote this when chatting with @dennisYatunin but I forget the context here, was this performance related? Or feature related? (or both?)

• give ForwardEulerFunction jac_prototype, so we can use ForwardEulerFunction for implicit, so that we can apply filter on implicit tendency.