Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems

被引：9

作者：

Chen, Hao ^{[1
]}

Zhang, Chengjian ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 55卷 / 3-4期

关键词：

Asymptotic stability; Neutral multidelay-differential-algebraic systems; Linear multistep methods; Runge-Kutta methods; ASYMPTOTIC STABILITY; EQUATIONS;

D O I：

10.1016/j.mcm.2011.08.030

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is concerned with the stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems. We focus on the system with no restrictive assumption on the structure of the coefficient matrices. It is shown that under some conditions, A-stable linear multistep methods and A-stable Runge-Kutta methods can preserve the delay-independent stability of the underlying linear systems. Numerical experiments further confirm the theoretical results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：530 / 537

页数：8

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