Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws

Handle URI:
http://hdl.handle.net/10754/333609
Title:
Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws
Authors:
Hundsdorfer, Willem; Ketcheson, David I. ( 0000-0002-1212-126X ) ; Savostianov, Igor
Abstract:
An error analysis is presented for explicit partitioned Runge–Kutta methods and multirate methods applied to conservation laws. The interfaces, across which different methods or time steps are used, lead to order reduction of the schemes. Along with cell-based decompositions, also flux-based decompositions are studied. In the latter case mass conservation is guaranteed, but it will be seen that the accuracy may deteriorate.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Numerical Mathematics Group
Citation:
Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws 2014 Journal of Scientific Computing
Publisher:
Springer Nature
Journal:
Journal of Scientific Computing
Issue Date:
27-Aug-2014
DOI:
10.1007/s10915-014-9906-1
ARXIV:
arXiv:1310.7168
Type:
Article
ISSN:
0885-7474; 1573-7691
Sponsors:
This work has been supported by Award No. FIC/2010/05 from King Abdullah University of Science and Technology (KAUST).
Additional Links:
http://link.springer.com/10.1007/s10915-014-9906-1; http://arxiv.org/abs/1310.7168; http://www.davidketcheson.info/assets/papers/2014_partitioned_multirate_postprint.pdf
Appears in Collections:
Articles; Numerical Mathematics Group; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorHundsdorfer, Willemen
dc.contributor.authorKetcheson, David I.en
dc.contributor.authorSavostianov, Igoren
dc.date.accessioned2014-11-04T07:20:35Z-
dc.date.available2014-11-04T07:20:35Z-
dc.date.issued2014-08-27en
dc.identifier.citationError Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws 2014 Journal of Scientific Computingen
dc.identifier.issn0885-7474en
dc.identifier.issn1573-7691en
dc.identifier.doi10.1007/s10915-014-9906-1en
dc.identifier.urihttp://hdl.handle.net/10754/333609en
dc.description.abstractAn error analysis is presented for explicit partitioned Runge–Kutta methods and multirate methods applied to conservation laws. The interfaces, across which different methods or time steps are used, lead to order reduction of the schemes. Along with cell-based decompositions, also flux-based decompositions are studied. In the latter case mass conservation is guaranteed, but it will be seen that the accuracy may deteriorate.en
dc.description.sponsorshipThis work has been supported by Award No. FIC/2010/05 from King Abdullah University of Science and Technology (KAUST).en
dc.language.isoenen
dc.publisherSpringer Natureen
dc.relation.urlhttp://link.springer.com/10.1007/s10915-014-9906-1en
dc.relation.urlhttp://arxiv.org/abs/1310.7168en
dc.relation.urlhttp://www.davidketcheson.info/assets/papers/2014_partitioned_multirate_postprint.pdfen
dc.rightsArchived with thanks to Journal of Scientific Computingen
dc.subjectmultirate methodsen
dc.subjectpartitioned Runge-Kutta methodsen
dc.subjectconservationen
dc.subjectstabilityen
dc.subjectconvergenceen
dc.titleError Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Lawsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentNumerical Mathematics Groupen
dc.identifier.journalJournal of Scientific Computingen
dc.eprint.versionPost-printen
dc.contributor.institutionCWI, P.O. Box 94079, Amsterdam, The Netherlandsen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
dc.identifier.arxividarXiv:1310.7168en
kaust.authorKetcheson, David I.en
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