Stability andB-convergence of linearly implicit Runge-Kutta methods

Autor: Hundsdorfer, W. H.
Zdroj: Numerische Mathematik; January 1986, Vol. 50 Issue: 1 p83-95, 13p
Abstrakt: Summary In this paper we study stability and convergence properties of linearly implicit Runge-Kutta methods applied to stiff semi-linear systems of differential equations. The stability analysis includes stability with respect to internal perturbations. All results presented in this paper are independent of the stiffness of the system.
Databáze: Supplemental Index