dc.date.accessioned | 2019-12-06T20:46:29Z | |
dc.date.available | 2019-12-06T20:46:29Z | |
dc.date.created | 2018-11-27T01:24:27Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Chatterjee, Neelabja Fjordholm, Ulrik Skre . A convergent finite volume method for the Kuramoto equation and related non-local conservation laws. IMA Journal of Numerical Analysis. 2018 | |
dc.identifier.uri | http://hdl.handle.net/10852/71318 | |
dc.description.abstract | We derive and study a Lax–Friedrichs-type finite volume method for a large class of nonlocal continuity equations in multiple dimensions. We prove that the method converges weakly to the measure-valued solution and converges strongly if the initial data is of bounded variation. Several numerical examples for the kinetic Kuramoto equation are provided, demonstrating that the method works well for both regular and singular data. | |
dc.language | EN | |
dc.publisher | Oxford | |
dc.title | A convergent finite volume method for the Kuramoto equation and related non-local conservation laws | |
dc.type | Journal article | |
dc.creator.author | Chatterjee, Neelabja | |
dc.creator.author | Fjordholm, Ulrik Skre | |
cristin.unitcode | 185,15,13,45 | |
cristin.unitname | Differensiallikninger og beregningsorientert matematikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 1635438 | |
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=IMA Journal of Numerical Analysis&rft.volume=&rft.spage=&rft.date=2018 | |
dc.identifier.jtitle | IMA Journal of Numerical Analysis | |
dc.identifier.doi | https://doi.org/10.1093/imanum/dry074 | |
dc.identifier.urn | URN:NBN:no-74419 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0272-4979 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/71318/2/Kuramoto_NC_USF.pdf | |
dc.type.version | AcceptedVersion | |