On the Efficient Implementation of Implicit Runge-Kutta Methods

ID
TR-78-05
Authors
James M. Varah
Publishing date
May 1978
Abstract

Extending some recent ideas of Butcher, we show how one can efficiently implement general implicit Runge-Kutta methods, including those based on Gaussian quadrature formulas which are particularly useful for stiff equations. With this implementation, it appears that these methods are more efficient than the recently proposed semi-explicit methods and their variants.