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.

引用

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页码：627 / 639

页数：13

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