butcherIRK

butcherIRK(p) generates a Butcher tableau for an implicit Runge-Kutta integrator with order "p"

butcherIRK(p) generates a stable p-order implicit Runge-Kutta Butcher tableau based on the Lobatto III method.

butcherIRK(p,method) generates a stable p-order implicit Runge-Kutta Butcher tableau based on the method described by the input "method".

Valid inputs include: "Gauss", "Radau1", "Radau2", "Lobatto", "Custom"

butcherIRK(___,s,alpha,beta) generates a stable s-stage implicit Runge-Kutta Butcher tableau of at least order "p" using the free variables "alpha" and "beta". These inputs are only used when the "Custom" method is specified.

Further reading:

Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems

Ernst Hairer and Gerhard Wanner, Chapter 4.5, Pages 75-96, ISBN 9783662099476 (eBook)