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dc.contributor.authorRuf, Adrian Montgomery
dc.contributor.authorSande, Espen
dc.contributor.authorSolem, Susanne
dc.date.accessioned2019-11-27T07:40:54Z
dc.date.available2019-11-27T07:40:54Z
dc.date.created2019-07-01T09:41:54Z
dc.date.issued2019
dc.identifier.issn0885-7474
dc.identifier.urihttp://hdl.handle.net/11250/2630650
dc.description.abstractIn 1994, Nessyahu, Tadmor and Tassa studied convergence rates of monotone finite volume approximations of conservation laws. For compactly supported, Lip+ -bounded initial data they showed a first-order convergence rate in the Wasserstein distance. Our main result is to prove that this rate is optimal. We further provide numerical evidence indicating that the rate in the case of Lip+ -unbounded initial data is worse than first-ordenb_NO
dc.language.isoengnb_NO
dc.publisherSpringer Verlagnb_NO
dc.titleThe Optimal Convergence Rate of Monotone Schemes for Conservation Laws in the Wasserstein Distancenb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.journalJournal of Scientific Computingnb_NO
dc.identifier.doi10.1007/s10915-019-00996-1
dc.identifier.cristin1708941
dc.description.localcodeThis is a post-peer-review, pre-copyedit version of an article published in [journal] Locked until 28.6.2020 due to copyright restrictions. The final authenticated version is available online at: http://dx.doi.org/[insert DOI]nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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