H-stability of Runge-Kutta methods with variable stepsize for system of pantograph equations

被引：0

作者：

Xu, Y ^{[1
]}

Zhao, JJ ^{[1
]}

Liu, MZ ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2004年 / 22卷 / 05期

关键词：

delay differential equations; stability; Runge-Kutta method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with R-stability of Runge-Kutta methods with variable stepsize for the system of pantograph equations. It is shown that both Runge-Kutta methods with nonsingular matrix coefficient A and stiffiy accurate Runge-Kutta methods are R-stable if and only if the modulus of stability function at infinity is less than 1.

引用

页码：727 / 734

页数：8

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