Computational Comparison of Continuous and Discontinuous Galerkin Time-Stepping Methods for Nonlinear Initial Value Problems

Janssen, Bärbel; Wihler, Thomas (2015). Computational Comparison of Continuous and Discontinuous Galerkin Time-Stepping Methods for Nonlinear Initial Value Problems. In: Kirby, Robert M.; Berzins, Martin; Hesthaven, Jan S. (eds.) Spectral and High Order Methods for Partial Differential Equations -ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering: Vol. 106 (pp. 103-114). Springer 10.1007/978-3-319-19800-2_7

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This article centers on the computational performance of the continuous and discontinuous Galerkin time stepping schemes for general first-order initial value problems in R n , with continuous nonlinearities. We briefly review a recent existence result for discrete solutions from [6], and provide a numerical comparison of the two time discretization methods.

Item Type:

Book Section (Book Chapter)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Wihler, Thomas

Subjects:

500 Science > 510 Mathematics

ISSN:

1439-7358

ISBN:

978-3-319-19799-9

Series:

Lecture Notes in Computational Science and Engineering

Publisher:

Springer

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

05 Apr 2016 15:19

Last Modified:

01 Jan 2017 02:30

Publisher DOI:

10.1007/978-3-319-19800-2_7

BORIS DOI:

10.7892/boris.77223

URI:

https://boris.unibe.ch/id/eprint/77223

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