Nonlinear stability of general linear methods for neutral delay differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:224

Article

Wang, Wan-Sheng^1,2  Li, Shou-Fu²  Su, Kai^1,2 

[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

关键词: Nonlinear neutral delay differential equations;    General linear methods;    Numerical stability;    Algebraic stability;   

DOI  :  10.1016/j.cam.2008.05.050

来源: Elsevier

【 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.

【 授权许可】

Free