Stability analysis of Runge-Kutta methods for non-linear delay differential equations

被引：0

作者：

Huang, CM ^{[1
]}

Fu, HY ^{[1
]}

Li, SF ^{[1
]}

Chen, GN ^{[1
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan Province, Peoples R China

来源：

BIT NUMERICAL MATHEMATICS | 1999年 / 39卷 / 02期

关键词：

delay differential equations; Runge-kutta methods; nonlinear stability;

D O I：

暂无

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper is concerned with the numerical solution of delay differential equations(DDEs). We focus on the stability behaviour of Runge Kutta methods for nonlinear DDEs. The new concepts of GR(l)-stability, GAR(l)-stability and weak GAR(l)stability are further introduced. We investigate these stability properties for (Ic,l)algebraically stable Runge-E;utta methods with a piecewise constant or linear interpolation, procedure. AMS subject classification: 65L06,65L20.

引用

页码：270 / 280

页数：11

共 21 条

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