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.
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页码：816 / 835
页数：20
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