多步隐式Runge-Kutta方法的稳定性分析  

Stability Analysis of Multistep Runge-Kutta Methods

作　　者：匡蛟勋[1] 鲁莲华 

机构地区：[1]上海师范大学

出　　处：《系统仿真学报》1993年第2期42-50,共9页Journal of System Simulation

摘　　要：本文对多步隐式Runge—Kutta方法进行数值稳定性分析。给出了广义压缩性及弱广义压缩性的概念,并导出了多步隐式Runge—Kutta方法为广义压缩的代数条件,最后还给出了数值例子。In this paper, the numerical stability of multistep Runge-Kutta methods is studied by introducing the concepts of generalized contractivity and weak generalized contractivity. The algebraic conditions of multistep Runge-Kutta methods for generalized contractivity are presented. Several numerical examples are also given to illustrate the results.

关 键 词：RUNGE-KUTTA法 稳定性分析 非线性方程组 

分 类 号：O241.7[理学—计算数学]