Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation

dc.date.accessioned	2022-04-20T16:28:06Z
dc.date.available	2022-04-20T16:28:06Z
dc.date.created	2022-03-21T13:58:50Z
dc.date.issued	2022
dc.identifier.citation	Fjordholm, Ulrik Skre Lye, Kjetil Olsen . Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation. Journal of Scientific Computing. 2022, 91(2)
dc.identifier.uri	http://hdl.handle.net/10852/93634
dc.description.abstract	We prove convergence rates of monotone schemes for conservation laws for Hölder continuous initial data with unbounded total variation, provided that the Hölder exponent of the initial data is greater than 12/. For strictly Lip+ stable monotone schemes, we prove convergence for any positive Hölder exponent. Numerical experiments are presented which verify the theory.
dc.language	EN
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.title	Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation
dc.type	Journal article
dc.creator.author	Fjordholm, Ulrik Skre
dc.creator.author	Lye, Kjetil Olsen
cristin.unitcode	185,15,13,45
cristin.unitname	Beregningsorientert matematikk
cristin.ispublished	true
cristin.fulltext	postprint
cristin.fulltext	original
cristin.qualitycode	1
dc.identifier.cristin	2011409
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of Scientific Computing&rft.volume=91&rft.spage=&rft.date=2022
dc.identifier.jtitle	Journal of Scientific Computing
dc.identifier.volume	91
dc.identifier.issue	2
dc.identifier.doi	https://doi.org/10.1007/s10915-022-01806-x
dc.identifier.urn	URN:NBN:no-96198
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	0885-7474
dc.identifier.fulltext	Fulltext https://www.duo.uio.no/bitstream/handle/10852/93634/2/convergence-rates-PUBLISHED.pdf
dc.type.version	PublishedVersion
cristin.articleid	32