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Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations

Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations
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Year:    2011

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 5 : pp. 574–588

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1107-m3433

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 5 : pp. 574–588

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Discontinuous Galerkin methods Delay differential equations Orthogonal analysis Superconvergence.

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