Nonlinear stability of discontinuous Galerkin methods for delay differential equations

被引：31

作者：

Li, Dongfang ^{[1
]}

Zhang, Chengjian ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 04期

关键词：

Nonlinear stability; Discontinuous Galerkin methods; Delay differential equations; RUNGE-KUTTA METHODS; NUMERICAL-METHODS; SYSTEMS;

D O I：

10.1016/j.aml.2009.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present present paper is devoted to a study of nonlinear stability of discontinuous Galerkin methods for delay differential equations. Some concepts, such as global and analogously asymptotical stability are introduced. We derive that discontinuous Galerkin methods lead to global and analogously asymptotical stability for delay differential equations. And these nonlinear stability properties reveal to the reader the relation between the perturbations of the numerical solution and that of the initial value or the systems. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：457 / 461

页数：5

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