Nonlinear stability of general linear methods for neutral delay differential equations

被引：14
|
作者：
Wang, Wan-Sheng [1 ,2 ]
Li, Shou-Fu [2 ]
Su, Kai [1 ,2 ]
机构：
[1] Changsha Univ Sci & Technol, Sch Math & Computat Sci, Changsha 410076, Hunan, Peoples R China
[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 224卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nonlinear neutral delay differential equations; General linear methods; Numerical stability; Algebraic stability; RUNGE-KUTTA METHODS; ASYMPTOTIC STABILITY; SYSTEMS;
D O I：
10.1016/j.cam.2008.05.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the numerical solution of neutral delay differential equations (NDDEs). We focus on the stability of general linear methods with piecewise linear interpolation. The new concepts of GS(p)-stability, GAS(p) -stability and weak GAS(p)stability are introduced. These stability properties for (k, p, 0)-algebraically stable general linear methods (GLMs) are further investigated. Some extant results are unified. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：592 / 601
页数：10
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