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

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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.

论文关键词:Initial value problems,Ordinary differential equations,Multistep Runge–Kutta methods,Equilibrium attractivity

论文评审过程:Available online 22 June 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.04.034