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 dc.contributor.author Ranocha, Hendrik dc.contributor.author Nordström, Jan dc.date.accessioned 2020-03-25T13:15:06Z dc.date.available 2020-03-25T13:15:06Z dc.date.issued 2020-03-09 dc.identifier.uri http://hdl.handle.net/10754/662303.1 dc.description.abstract Since 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.sponsorship Research reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST). dc.publisher arXiv dc.relation.url https://arxiv.org/pdf/2003.03889 dc.rights Archived with thanks to arXiv dc.title A Class of $A$ Stable Summation by Parts Time Integration Schemes dc.type Preprint dc.contributor.department Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division dc.contributor.department King Abdullah University of Science and Technology dc.eprint.version Pre-print dc.identifier.arxivid 2003.03889 kaust.person Ranocha, Hendrik kaust.person Nordström, Jan refterms.dateFOA 2020-03-25T13:15:32Z
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