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
收藏
页码：530 / 537
页数：8
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