D-convergence of general linear methods for stiff delay differential equations

被引：10
|
作者：
Huang, CM
Chen, GN
Li, SF
Fu, HY
机构：
[1] Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
[2] Xiangtan Univ, Dept Appl & Computat Math, Xiangtan 411105, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 5-6期
关键词：
delay differential equation; convergence; general linear methods;
D O I：
10.1016/S0898-1221(00)00306-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the numerical solution of delay differential equations (DDEs). We focus on the error behaviour of general linear methods for stiff DDEs. A restricted type of interpolation procedure is considered for general linear methods. D-convergence properties of general linear methods with this interpolation procedure are investigated. Some extant results are unified. (C) 2001 Elsevier Science Ltd. All rights reserved.
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页码：627 / 639
页数：13
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