pathsim.solvers.esdirk85 module

class pathsim.solvers.esdirk85.ESDIRK85(*solver_args, **solver_kwargs)[source]

Bases: DiagonallyImplicitRungeKutta

16 stage 8-th order L-stable, stiffly accurate, stage order 2 ESDIRK method with embedded 5-th order method for stepsize control. This very high order integrator is suited for very stiff problems that require very high accuracy but is also relatively expensive due to the insane 15 implicit (1 explicit) stages.

This method is a real beast and it remains to be seen how practical it is.

FROM :: VERY HIGH-ORDER A-STABLE STIFFLY ACCURATE DIAGONALLY IMPLICIT RUNGE-KUTTA METHODS WITH ERROR ESTIMATORS YOUSEF ALAMRI AND DAVID I. KETCHESON ESDIRK(16,8)[2]SAL-[(16,5)]