Explicit SSP Runge-Kutta Methods for Nonlinear Systems

Optimal Methods

Matlab Scripts

Maple Scripts

  • First Order

    Optimal first order explicit SSP Runge-Kutta methods consist simply of repeated forward Euler steps. These methods all have effective SSP coefficient equal to unity and are equivalent to simply using the forward Euler method.

  • Second Order
  • Third Order
  • Fourth Order
  • Higher Order

    Explicit SSP Runge-Kutta methods have order at most equal to four.