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Computational Comparison of Continuous and Discontinuous Galerkin Time-Stepping Methods for Nonlinear Initial Value Problems
KTH, School of Computer Science and Communication (CSC), Computational Science and Technology (CST).ORCID iD: 0000-0002-9886-7547
2015 (English)In: SPECTRAL AND HIGH ORDER METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS ICOSAHOM 2014, Springer Berlin/Heidelberg, 2015, 103-114 p.Conference paper (Refereed)Text
Abstract [en]

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 Janssen and Wihler (Existence results for the continuous and discontinuous Galerkin time stepping methods for nonlinear initial value problems, 2014, Submitted), and provide a numerical comparison of the two time discretization methods.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2015. 103-114 p.
, Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 ; 106
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-182190DOI: 10.1007/978-3-319-19800-2_7ISI: 000368440400007ScopusID: 2-s2.0-84951942712ISBN: 978-3-319-19800-2; 978-3-319-19799-9OAI: diva2:903718
10th International Conference on Spectral and High-Order Methods (ICOSAHOM), JUN 23-27, 2014, Salt Lake City, UT

QC 20160216

Available from: 2016-02-16 Created: 2016-02-16 Last updated: 2016-02-16Bibliographically approved

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