THE STABILITY OF θ-METHODS FOR PANTOGRAPH DELAY DIFFERENTIAL EQUATIONS

被引：1

作者：

梁久祯

邱深山

刘明珠

机构：

[1] Anda 151400

[2] Daqing Petroleum Institute

[3] Harbin 150001

[4] Harbin Institute of Technology

[5] Heilongjiang

[6] PRC

来源：

Numerical Mathematics A Journal of Chinese Universities(English Series) | 1996年 / 01期

关键词：

pantograph delay differential equations; θ-methods; numerical solution; asymptotic stability;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper deals with the numerical solution of initial value problems for pantograph differential equations with variable delays. We investigate the stability of one leg θ-methods in the numerical solution of these problems. Sufficient conditions for the asymptotic stability of θ-methods are given by Fourier analysis and Ergodic theory.

引用

页码：80 / 85

页数：6

共 50 条

[41] STABILITY ANALYSIS OF NUMERICAL-METHODS FOR DELAY DIFFERENTIAL-EQUATIONS
HOUT, KJI
SPIJKER, MN
NUMERISCHE MATHEMATIK, 1991, 59 (08) : 807 - 814
[42] ON THE ASYMPTOTIC STABILITY OF THETA-METHODS FOR DELAY DIFFERENTIAL-EQUATIONS
CALVO, M
GRANDE, T
NUMERISCHE MATHEMATIK, 1988, 54 (03) : 257 - 269
[43] The asymptotic stability of multistep multiderivative methods for systems of delay differential equations
Huang, Chengming
Chang, Qianshun
Communications in Nonlinear Science and Numerical Simulation, 2000, 5 (01) : 24 - 26
[44] The　Stability　of　Runge－Kutta　Methods　for　Systems　of　Delay　Differential　Equations
王晓彪
刘明珠
Journal of Harbin Institute of Technology, 1996, (01) : 1 - 6
[45] Stability of linear multistep methods for delay integro-differential equations
Huang, Chengming
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (12) : 2830 - 2838
[46] Asymptotic stability of numerical methods for linear delay parabolic differential equations
Tian, Hongjiong
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (07) : 1758 - 1765
[47] Stability of the Radau IA and Lobatto IIIC methods for delay differential equations
Toshiyuki Koto
Numerische Mathematik, 1998, 79 : 569 - 580
[48] Stability of Runge-Kutta methods for linear delay differential equations
S. Maset
Numerische Mathematik, 2000, 87 : 355 - 371
[49] Stability of implicit one-block methods for delay differential equations
Zhang, Guofeng, 2001, Elsevier Science Publishers B.V., Amsterdam, Netherlands (36) : 2 - 3
[50] The asymptotic stability of multistep multiderivative methods for systems of delay differential equations
Chengming HUANG and Qianshun CHANG Institute of Applied Mathematics
Communications in Nonlinear Science & Numerical Simulation, 2000, (01) : 24 - 26

← 1 2 3 4 5 →