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

作　　者：Dongfang Li Chengjian Zhang 

机构地区：[1]School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China

出　　处：《Journal of Computational Mathematics》2011年第5期574-588,共15页计算数学（英文）

基　　金：Acknowledgments. The authors are grateful to the referees for carefully reading the preliminary version of the manuscript. Their valuable suggestions largely improve the quality of this paper. The research is supported by the National Nature Science Foundation of China （No.10871078）, 863 Program of China （No. 2009AA044501） and Postgraduate Innovation Fund of Huazhong University of Science and Technology （No. HF-08-02-2011-011）.

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.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.

关 键 词：Discontinuous Galerkin methods Delay differential equations Orthogonalanalysis Superconvergence. 

分 类 号：O241.82[理学—计算数学] O175.1[理学—数学]