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Volume 29, Issue 5
Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations

Dongfang Li & Chengjian Zhang

DOI: 10.4208/jcm.1107-m3433

J. Comp. Math., 29 (2011), pp. 574-588.

Published online: 2011-10

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  • 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.

  • Keywords

Discontinuous Galerkin methods, Delay differential equations, Orthogonal analysis, Superconvergence.

  • AMS Subject Headings

65N12 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-29-574, author = {Dongfang Li and Chengjian Zhang}, title = {Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1107-m3433}, url = {http://global-sci.org/intro/article_detail/jcm/8493.html} }
TY - JOUR T1 - Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations AU - Dongfang Li & Chengjian Zhang JO - Journal of Computational Mathematics VL - 5 SP - 574 EP - 588 PY - 2011 DA - 2011/10 SN - 29 DO - http://doi.org/10.4208/jcm.1107-m3433 UR - https://global-sci.org/intro/article_detail/jcm/8493.html KW - Discontinuous Galerkin methods, Delay differential equations, Orthogonal analysis, Superconvergence. AB -

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.

Dongfang Li and Chengjian Zhang. (2011). Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations. Journal of Computational Mathematics. 29 (5). 574-588. doi:10.4208/jcm.1107-m3433
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