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

共 50 条

[21] Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Neutral Delay Differential Equations
Yuan, Haiyan
Song, Cheng
Wang, Peichen
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[22] Stability analysis of Runge-Kutta methods for non-linear delay differential equations
Huang, CM
Fu, HY
Li, SF
Chen, GN
BIT NUMERICAL MATHEMATICS, 1999, 39 (02) : 270 - 280
[23] Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays
Gan, SQ
Sun, G
Zheng, W
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (8-9) : 1157 - 1173
[24] Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays
Huang, CM
Chang, QS
MATHEMATICAL AND COMPUTER MODELLING, 2004, 40 (11-12) : 1285 - 1296
[25] Stability analysis of Runge-Kutta methods for non-linear delay differential equations
Chengming H.
Hongyuan F.
Shoufu L.
Guangnan C.
BIT Numerical Mathematics, 1999, 39 (2) : 270 - 280
[26] On the stability of adaptations of Runge-Kutta methods to systems of delay differential equations
tHout, KJ
APPLIED NUMERICAL MATHEMATICS, 1996, 22 (1-3) : 237 - 250
[27] Error analysis of IMEX Runge-Kutta methods derived from differential-algebraic systems
Boscarino, Sebastiano
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 45 (04) : 1600 - 1621
[28] Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations
Yu, Yuexin
Liu, Zhongyan
Wen, Liping
JOURNAL OF APPLIED MATHEMATICS, 2014,
[29] Runge-Kutta methods for linear ordinary differential equations
Zingg, DW
Chisholm, TT
APPLIED NUMERICAL MATHEMATICS, 1999, 31 (02) : 227 - 238
[30] Stability analysis of exponential Runge-Kutta methods for delay differential equations
Xu, Y.
Zhao, J. J.
Sui, Z. N.
APPLIED MATHEMATICS LETTERS, 2011, 24 (07) : 1089 - 1092

← 1 2 3 4 5 →