Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 94, 2017 - Issue 2
Submit an article Journal homepage
222
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation

Mahboub BaccouchDepartment of Mathematics, University of Nebraska at Omaha, Omaha, NE 68182, USACorrespondence[email protected]
View further author information
Pages 316-344 | Received 27 Jun 2015, Accepted 30 Sep 2015, Published online: 26 Nov 2015

Citations (9)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Mahboub Baccouch. (2018) A posteriori local discontinuous Galerkin error estimates for the one-dimensional sine-Gordon equation. International Journal of Computer Mathematics 95:4, pages 815-844.
Read now

Articles from other publishers (8)

A.H. Msmali, Mohammad Tamsir & Abdullah Ali H. Ahmadini. (2021) Crank-Nicolson-DQM based on cubic exponential B-splines for the approximation of nonlinear Sine-Gordon equation. Ain Shams Engineering Journal 12:4, pages 4091-4097.
Crossref
Fengna Yan & Yan Xu. (2021) Error Analysis of an Unconditionally Energy Stable Local Discontinuous Galerkin Scheme for the Cahn–Hilliard Equation with Concentration-Dependent Mobility. Computational Methods in Applied Mathematics 21:3, pages 729-751.
Crossref
Fengna Yan & Yan Xu. (2020) Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen–Cahn equation. Journal of Computational and Applied Mathematics 376, pages 112857.
Crossref
Mahboub Baccouch. (2020) A posteriori error analysis of the local discontinuous Galerkin method for the sine–Gordon equation in one space dimension. Journal of Computational and Applied Mathematics 366, pages 112432.
Crossref
Francisca Martin-Vergara, Francisco Rus & Francisco R. Villatoro. (2019) Padé numerical schemes for the sine-Gordon equation. Applied Mathematics and Computation 358, pages 232-243.
Crossref
A. K. Mittal & L. K. Balyan. Time-space pseudospectral algorithm for numerical solution of Sine/Klein-Gordon equations. Time-space pseudospectral algorithm for numerical solution of Sine/Klein-Gordon equations.
Mahboub Baccouch. (2018) Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. Journal of Computational and Applied Mathematics 333, pages 292-313.
Crossref
Yingying Shan, Wenjie Liu & Boying Wu. (2017) Space–time Legendre–Gauss–Lobatto collocation method for two-dimensional generalized sine-Gordon equation. Applied Numerical Mathematics 122, pages 92-107.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.