Asymptotic stability of general linear methods for systems of linear neutral delay differential-algebraic equations

被引：2

作者：

Yu, Quanhong ^{[1
]}

Tian, Hongjiong ^{[2
]}

Kuang, Jiaoxun ^{[3
]}

机构：

[1] Shanghai Ocean Univ, Coll Informat Technol, Shanghai 201306, Peoples R China

[2] Shanghai Normal Univ, Inst Shanghai Univ E, Div Computat Sci, Dept Math,Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China

[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2015年 / 92卷 / 04期

关键词：

65L80; 65L20; 65L06; asymptotic stability; strong A-stability; neutral delay differential-algebraic equation; numerical stability; general linear methods; MULTISTEP; CRITERIA;

D O I：

10.1080/00207160.2014.914178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with numerical stability of general linear methods (GLMs) for a system of linear neutral delay differential-algebraic equations. A sufficient and necessary condition for asymptotic stability of GLMs solving such system is derived. Based on this main result, we further investigate the asymptotic stability of linear multistep methods, Runge-Kutta methods, and block theta-methods, respectively. Numerical experiments confirm our theoretical result.

引用

页码：816 / 835

页数：20

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