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

• 作 者: Dongfang Li Chengjian Zhang
• 机 构: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, C
• 出 处: 计算数学（英文版）
• 发表日期: 2011年5期
• 关键词: Discontinuous Galerkin methods Delay differential equations Orthogonal analysis

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.