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dc.contributor.authorRanocha, Hendrik
dc.contributor.authorNordström, Jan
dc.date.accessioned2020-03-25T13:15:06Z
dc.date.available2020-03-25T13:15:06Z
dc.date.issued2020-03-09
dc.identifier.urihttp://hdl.handle.net/10754/662303.1
dc.description.abstractSince integration by parts is an important tool when deriving energy or entropy estimates for differential equations, one may conjecture that some form of summation by parts (SBP) property is necessarily involved in provably stable numerical methods. This article contributes to this topic by proposing a novel class of $A$ stable SBP time integration methods including the classical Lobatto IIIA collocation method, not previously formulated as an SBP scheme. Additionally, a related SBP scheme including the classical Lobatto IIIB collocation method is developed.
dc.description.sponsorshipResearch reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST).
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2003.03889
dc.rightsArchived with thanks to arXiv
dc.titleA Class of $A$ Stable Summation by Parts Time Integration Schemes
dc.typePreprint
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentKing Abdullah University of Science and Technology
dc.eprint.versionPre-print
dc.identifier.arxivid2003.03889
kaust.personRanocha, Hendrik
kaust.personNordström, Jan
refterms.dateFOA2020-03-25T13:15:32Z


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