STABILITY ANALYSIS OF NUMERICAL-METHODS FOR DELAY DIFFERENTIAL-EQUATIONS

被引：53

作者：

HOUT, KJI ^{[1
]}

SPIJKER, MN ^{[1
]}

机构：

[1] LEIDEN UNIV,DEPT MATH & COMP SCI,NIELS BOHRWEG 1,2333 CA LEIDEN,NETHERLANDS

来源：

NUMERISCHE MATHEMATIK | 1991年 / 59卷 / 08期

关键词：

D O I：

10.1007/BF01385811

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the stability analysis of step-by-step methods for the numerical solution of delay differential equations. We focus on the behaviour of such methods when they are applied to the linear testproblem U'(t) = lambda-U(t) + mu-U(t - tau) with tau > 0 and lambda, mu-complex. A general theorem is presented which can be used to obtain complete characterizations of the stability regions of these methods.

引用

页码：807 / 814

页数：8

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