THE STABILITY OF THE THETA-METHODS IN THE NUMERICAL-SOLUTION OF DELAY DIFFERENTIAL-EQUATIONS

被引：97

作者：

LIU, MZ

SPIJKER, MN

机构：

[1] Department of Mathematics and Computer Science, University of Leiden, Niels Bohrweg 1

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1990年 / 10卷 / 01期

关键词：

D O I：

10.1093/imanum/10.1.31

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 numerical methods for the solution of delay differential equations. We focus on the behaviour of the one-leg θ-method and the linear θ-method in the solution of the linear test equation U'(t)=λU(t)+μU(t - τ), with τ>0 and complex λ,μ The stability regions for both of these methods are determined. The regions turn out to be equal to each other only if θ=0 or θ=1. © 1989 Oxford University Press.

引用

页码：31 / 48

页数：18

共 16 条

[1] STABILITY PROPERTIES OF NUMERICAL-METHODS FOR SOLVING DELAY DIFFERENTIAL-EQUATIONS [J].