H-stability of Runge-Kutta methods with variable stepsize for system of pantograph equations

被引：0

作者：

Xu, Y ^{[1
]}

Zhao, JJ ^{[1
]}

Liu, MZ ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2004年 / 22卷 / 05期

关键词：

delay differential equations; stability; Runge-Kutta method;

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 deals with R-stability of Runge-Kutta methods with variable stepsize for the system of pantograph equations. It is shown that both Runge-Kutta methods with nonsingular matrix coefficient A and stiffiy accurate Runge-Kutta methods are R-stable if and only if the modulus of stability function at infinity is less than 1.

引用

页码：727 / 734

页数：8

共 50 条

[41] Runge-Kutta methods and viscous wave equations
Verwer, J. G.
[J]. NUMERISCHE MATHEMATIK, 2009, 112 (03) : 485 - 507
[42] On the stability of adaptations of Runge-Kutta methods to systems of delay differential equations
tHout, KJ
[J]. APPLIED NUMERICAL MATHEMATICS, 1996, 22 (1-3) : 237 - 250
[43] Nonlinear stability of Runge-Kutta methods for neutral delay differential equations
Wang, Wan-Sheng
Li, Shou-Fu
Su, Kai
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (01) : 175 - 185
[44] Asymptotical stability of Runge-Kutta methods for nonlinear impulsive differential equations
Zhang, Gui-Lai
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[45] Stability analysis of exponential Runge-Kutta methods for delay differential equations
Xu, Y.
Zhao, J. J.
Sui, Z. N.
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (07) : 1089 - 1092
[46] Runge-Kutta methods for Fuzzy Differential Equations
Palligkinis, S. Ch.
Papageorgiou, G.
Famelis, I. Th.
[J]. Advances in Computational Methods in Sciences and Engineering 2005, Vols 4 A & 4 B, 2005, 4A-4B : 444 - 448
[47] ON THE ALGEBRAIC EQUATIONS IN IMPLICIT RUNGE-KUTTA METHODS
HUNDSDORFER, WH
SPIJKER, MN
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (03) : 583 - 594
[48] Stability analysis of Runge-Kutta methods for systems of delay differential equations
intHout, KJ
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1997, 17 (01) : 17 - 27
[49] Stability of Runge-Kutta methods for delay integro-differential equations
Koto, T
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (02) : 483 - 492
[50] STABILITY OF RUNGE-KUTTA METHODS FOR STIFF ORDINARY DIFFERENTIAL-EQUATIONS
ALEXANDER, RK
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (04) : 1147 - 1168

← 1 2 3 4 5 →