Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations

被引：0
|
作者：
Gu, Wei [1 ]
Wang, Ming [2 ]
Li, Dongfang [3 ]
机构：
[1] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China
[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
[3] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
RUNGE-KUTTA METHODS; GENERAL LINEAR METHODS; INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION; SYSTEMS;
D O I：
10.1155/2014/304071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. Some confirmations of the conditions on Runge-Kutta methods are illustrated at last.
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页数：7
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