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dc.contributor.authorHundsdorfer, Willem
dc.contributor.authorKetcheson, David I.
dc.contributor.authorSavostianov, Igor
dc.date.accessioned2014-11-04T07:20:35Z
dc.date.available2014-11-04T07:20:35Z
dc.date.issued2014-08-27
dc.identifier.citationError Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws 2014 Journal of Scientific Computing
dc.identifier.issn0885-7474
dc.identifier.issn1573-7691
dc.identifier.doi10.1007/s10915-014-9906-1
dc.identifier.urihttp://hdl.handle.net/10754/333609
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.
dc.description.sponsorshipThis work has been supported by Award No. FIC/2010/05 from King Abdullah University of Science and Technology (KAUST).
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s10915-014-9906-1
dc.relation.urlhttp://arxiv.org/abs/1310.7168
dc.relation.urlhttp://www.davidketcheson.info/assets/papers/2014_partitioned_multirate_postprint.pdf
dc.rightsArchived with thanks to Journal of Scientific Computing
dc.subjectmultirate methods
dc.subjectpartitioned Runge-Kutta methods
dc.subjectconservation
dc.subjectstability
dc.subjectconvergence
dc.titleError Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentNumerical Mathematics Group
dc.identifier.journalJournal of Scientific Computing
dc.eprint.versionPost-print
dc.contributor.institutionCWI, P.O. Box 94079, Amsterdam, The Netherlands
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
dc.identifier.arxividarXiv:1310.7168
kaust.personKetcheson, David I.
kaust.grant.numberFIC/2010/05
dc.versionv1
refterms.dateFOA2015-08-27T00:00:00Z
dc.date.published-online2014-08-27
dc.date.published-print2015-06
dc.date.posted2013-10-27


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