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 ...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.展开更多
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）.
文摘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.
