SUPERCONVERGENCE OF A DISCONTINUOUS GALERKIN METHOD FOR FIRST-ORDER LINEAR DELAY DIFFERENTIAL EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Discontinuous Galerkin methods Delay differential equations Orthogonal analysis Superconvergence
• 年，卷（期）: 2011,（5）
• 页码范围: 574-588
• 页数: 15页
• 语种: 英文
• DOI: 10.4208/jcm.1107-m3433

摘要

This paper deals with the discontinuous Galerkin (DG) methods for delay differential equations.By an orthogonal analysis in each element,the superconvergence results of the methods are derived at nodal points and eigenpoints.Numerical experiments will be carried our to verify the effectiveness and the theoretical results of the proposed methods.