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Numerical conservative solutions of the Hunter–-Saxton equation

dc.contributor.authorGrunert, Katrin
dc.contributor.authorNordli, Anders Samuelsen
dc.contributor.authorSolem, Susanne
dc.date.accessioned2021-08-06T09:26:23Z
dc.date.available2021-08-06T09:26:23Z
dc.date.issued2021-01-21
dc.description.abstractIn the article a convergent numerical method for conservative solutions of the Hunter–Saxton equation is derived. The method is based on piecewise linear projections, followed by evolution along characteristics where the time step is chosen in order to prevent wave breaking. Convergence is obtained when the time step is proportional to the square root of the spatial step size, which is a milder restriction than the common CFL condition for conservation laws.en_US
dc.identifier.citationGrunert K, Nordli AS, Solem S. Numerical conservative solutions of the Hunter–-Saxton equation. BIT Numerical Mathematics. 2021;61:441-471en_US
dc.identifier.cristinIDFRIDAID 1876882
dc.identifier.doi10.1007/s10543-020-00835-y
dc.identifier.issn0006-3835
dc.identifier.issn1572-9125
dc.identifier.urihttps://hdl.handle.net/10037/21965
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.relation.journalBIT Numerical Mathematics
dc.relation.projectIDinfo:eu-repo/grantAgreement/RCN/FRINATEK/250070/Norway/Waves and Nonlinear Phenomena//en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/RCN/FRINATEK/286822/Norway/Wave Phenomena and Stability - a Shocking Combination//en_US
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2021 The Author(s)en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Algebra/algebraic analysis: 414en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414en_US
dc.titleNumerical conservative solutions of the Hunter–-Saxton equationen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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