H-stability of Runge-Kutta methods with general variable stepsize for pantograph equation

被引：13

作者：

Xu, Y ^{[1
]}

Liu, MZ ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 148卷 / 03期

基金：

中国国家自然科学基金;

关键词：

delay differential equations; infinite lag; stability; numerical solution; Runge-Kutta method;

D O I：

10.1016/S0096-3003(02)00947-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with H-stability of Runge-Kutta methods with variable stepsize for pantograph equations. It is shown that the Runge-Kutta methods with a regular matrix A are H-stable if and only if the modulus of stability function at infinity is less than 1. Furthermore, the same conclusion can be obtained if the Runge-Kutta methods are stiffly accurate. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：881 / 892

页数：12

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