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dc.contributor.authorRanocha, Hendrik
dc.contributor.authorNordström, Jan
dc.date.accessioned2021-03-11T06:20:58Z
dc.date.available2020-03-25T13:15:06Z
dc.date.available2021-03-11T06:20:58Z
dc.date.issued2021-03-10
dc.date.submitted2020-06-03
dc.identifier.citationRanocha, H., & Nordström, J. (2021). A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions. Journal of Scientific Computing, 87(1). doi:10.1007/s10915-021-01454-7
dc.identifier.issn0885-7474
dc.identifier.issn1573-7691
dc.identifier.doi10.1007/s10915-021-01454-7
dc.identifier.urihttp://hdl.handle.net/10754/662303
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 involved in provably stable numerical methods. This article contributes to this topic by proposing a novel class of A stable SBP time integration methods which can also be reformulated as implicit Runge-Kutta methods. In contrast to existing SBP time integration methods using simultaneous approximation terms to impose the initial condition weakly, the new schemes use a projection method to impose the initial condition strongly without destroying the SBP property. The new class of methods includes 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). Jan Nordström was supported by Vetenskapsrådet, Sweden grant 2018-05084 VR and by the Swedish e-Science Research Center (SeRC) through project ABL in SESSI.
dc.description.sponsorshipOpen access funding provided by Linköping University.
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s10915-021-01454-7
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0
dc.titleA New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalJournal of Scientific Computing
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionPresent Address: Mathematics Münster, University of Münster, Münster, Germany.
dc.contributor.institutionDepartment of Mathematics, Applied Mathematics, Linköping University, SE-58183 Linköping, Sweden.
dc.contributor.institutionDepartment of Mathematics and Applied Mathematics, University of Johannesburg, P.O. Box 524, Johannesburg, Auckland Park 2006, South Africa.
dc.identifier.volume87
dc.identifier.issue1
dc.identifier.arxivid2003.03889
kaust.personRanocha, Hendrik
dc.date.accepted2021-02-26
refterms.dateFOA2020-03-25T13:15:32Z


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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Except where otherwise noted, this item's license is described as This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
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