full
search.png

Search

close.png

Cancel

arrow
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

Preview Full PDF 2350 27206

Cited by

google scholar semantic scholar
Export citation
  • 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

  • Email address
  • BibTex
  • RIS
  • TXT
@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
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard