Implicit SSP Linear Multistep Methods for Nonlinear Systems

Optimal Methods

Matlab Scripts

Maple Scripts

    SSP Coefficients of optimal methods

  • First Order

    The backward Euler method is unconditionally SSP. Within the class of general linear methods, only first order methods can be unconditionally SSP.

  • Second Order
  • The implicit trapezoidal rule is optimal with coefficient c=2.

  • Third Order