pathsim.solvers.esdirk32 module

class pathsim.solvers.esdirk32.ESDIRK32(*solver_args, **solver_kwargs)[source]

Bases: DiagonallyImplicitRungeKutta

Four-stage, 3rd order Embedded Singly Diagonally Implicit Runge-Kutta (ESDIRK) method.

Features an embedded 2nd order method for adaptive step size control. The first stage is explicit (FSAL property not present in this specific implementation structure). Designed to be applicable to index-2 Differential Algebraic Equations (DAEs).

FROM:

Williams et al.

Characteristics:

  • Order: 3

  • Embedded Order: 2

  • Stages: 4 (1 Explicit, 3 Implicit)

  • Implicit (ESDIRK)

  • Adaptive timestep

  • A-stable