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

共 50 条

[31] Nonlinear Stability of General Linear Methods for Delay Differential Equations
Chengming Huang
Shoufu Li
Hongyuan Fu
Guangnan Chen
BIT Numerical Mathematics, 2002, 42 : 380 - 392
[32] Nonlinear stability of general linear methods for delay differential equations
Huang, CM
Li, SF
Fu, HY
Chen, CG
BIT NUMERICAL MATHEMATICS, 2002, 42 (02) : 380 - 392
[33] Impulsive Stability for Positive Linear Differential-Algebraic Equations With Time-Varying Delay
Sau, Nguyen Huu
Thuan, Mai Viet
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (12) : 7943 - 7950
[34] Asymptotic stability of numerical methods for linear delay parabolic differential equations
Tian, Hongjiong
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (07) : 1758 - 1765
[35] Asymptotic stability of a class of linear multistep methods for delay differential equations
Yu, Yue-Xin
Wen, Li-Ping
Changsha Dianli Xueyuan Xuebao/Journal of Changsha University of Electric Power, 2003, 18 (03):
[36] Stability criteria for neutral delay differential-algebraic equations with many delays
Leping Sun
Advances in Difference Equations, 2019
[37] Stability criteria for neutral delay differential-algebraic equations with many delays
Sun, Leping
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[38] Stability analysis of linear multistep methods for neutral delay differential equations
S K JAFFER
刘明珠
丁效华
Journal of Harbin Institute of Technology, 2003, (02) : 168 - 170
[39] ON LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS AND LINEARIZATIONS
MARZ, R
APPLIED NUMERICAL MATHEMATICS, 1995, 18 (1-3) : 267 - 292
[40] The regularization of linear differential-algebraic equations
Kalachev, LV
OMalley, RE
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (01) : 258 - 273

← 1 2 3 4 5 →