多步Runge-Kutta方法的代数稳定性

Algebraic Stability of Multistep Runge-Kutta Methods

本文获得了多步Runge—是Kutta方法代数稳定的一系列必要充分条件,其中多数结果可视为关于Radau I A、Radau ⅡA及Gauss型Runge—Kutta方法已有结果的推广。

A series of sufficient and necessary conditions for the algebraic stability of multistep Runge-Kutta methods is obtained, most of which can be regarded as extension of the relevant available for Runge-Kutta methods, especially, for Radau I A, Radau II A and Gaussian Runge-Kutta methods.