Nonlinear stability of general linear methods for delay differential equations

被引：30
|
作者：
Huang, CM
Li, SF
Fu, HY
Chen, CG
机构：
[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Hubei, Peoples R China
[2] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan Province, Peoples R China
[3] CAEP, Grad Sch, Beijing 100088, Peoples R China
来源：
BIT NUMERICAL MATHEMATICS | 2002年 / 42卷 / 02期
关键词：
delay differential equations; general linear methods; nonlinear stability;
D O I：
10.1023/A:1021955126558
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
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.
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页码：380 / 392
页数：13
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