Nonlinear Stability of General Linear Methods for Delay Differential Equations

被引：0

作者：

Chengming Huang

Shoufu Li

Hongyuan Fu

Guangnan Chen

机构：

[1] Huazhong University of Science and Technology,Department of Mathematics

[2] Xiangtan University,Department of Mathematics

[3] CAEP,Graduate school

来源：

BIT Numerical Mathematics | 2002年 / 42卷

关键词：

Delay differential equations; general linear methods; nonlinear stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to a study of nonlinear stability of general linear methods for the numerical solution of delay differential equations in Hilbert spaces. New stability concepts are further introduced. The stability properties of (k,p,q)-algebraically stable general linear methods with piecewise constant or linear interpolation procedure are investigated. We also discuss stability of linear multistep methods viewed as a special subset of the class of general linear methods.

引用

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页码：380 / 392

页数：12

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