Computational Comparison of Continuous and Discontinuous Galerkin Time-Stepping Methods for Nonlinear Initial Value Problems
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
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
Computer and Information Science
IdentifiersURN: 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: oai:DiVA.org:kth-182190DiVA: diva2:903718
10th International Conference on Spectral and High-Order Methods (ICOSAHOM), JUN 23-27, 2014, Salt Lake City, UT
QC 201602162016-02-162016-02-162016-02-16Bibliographically approved