Stability analysis of Runge-Kutta methods for nonlinear systems of pantograph equations

被引：0

作者：

Yu, YX ^{[1
]}

Li, SF ^{[1
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2005年 / 23卷 / 04期

关键词：

nonlinear pantograph equations; Runge-Kutta methods; numerical stability; asymptotic stability;

D O I：

暂无

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 nonlinear systems of pantograph equations. Numerical methods based on (k, l)-algebraically stable Runge-Kutta methods are suggested. Global and asymptotic stability conditions for the presented methods are derived.

引用

页码：351 / 356

页数：6

共 17 条

[1] Asymptotic stability properties of Theta-methods for the pantograph equation [J].

Bellen, A ;

Guglielmi, N ;

Torelli, L .

APPLIED NUMERICAL MATHEMATICS, 1997, 24 (2-3) :279-293

[2]

BUHMANN M, 1993, MATH COMPUT, V60, P575, DOI 10.1090/S0025-5718-1993-1176707-2

[3] ON THE DYNAMICS OF A DISCRETIZED NEUTRAL EQUATION [J].

BUHMANN, MD ;

ISERLES, A .

IMA JOURNAL OF NUMERICAL ANALYSIS, 1992, 12 (03) :339-363

[4]

BUHMANN MD, 1994, ANN NUMER MATH, V1, P133

[5]

Burrage K., 1980, BIT (Nordisk Tidskrift for Informationsbehandling), V20, P185, DOI 10.1007/BF01933191

[6] A GENERALIZATION OF ALGEBRAIC STABILITY FOR RUNGE-KUTTA METHODS [J].

COOPER, GJ .

IMA JOURNAL OF NUMERICAL ANALYSIS, 1984, 4 (04) :427-440

[7]

FELDSTEIN MA, 1968, P 1968 ACM NAT C, P67

[8] Stability analysis of Runge-Kutta methods for non-linear delay differential equations [J].

Chengming H. ;

Hongyuan F. ;

Shoufu L. ;

Guangnan C. .

BIT Numerical Mathematics, 1999, 39 (2) :270-280

[9]

Iserles A., 1993, European J. Appl. Math, V4, P1, DOI [DOI 10.1017/S0956792500000966, DOI 10.1017/S0956792500000966)]

[10]

Koto T, 1999, NUMER MATH, V84, P233, DOI 10.1007/s002119900101

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