Equilibrium attractive properties of a class of multistep Runge-Kutta methods

摘要

The main purpose of this paper is to discuss the equilibrium attractive properties of a class of multistep Runge-Kutta methods for initial value problems of ordinary differential equations. Some algebraic conditions insuring the equilibrium attractivity are given, and some methods satisfying these algebraic conditions are constructed. Some numerical examples confirm our results. (c) 2005 Elsevier Inc. All rights reserved.