dc.contributor.author | Holden, Helge | |
dc.contributor.author | Koley, Ujjwal | |
dc.contributor.author | Risebro, Nils Henrik | |
dc.date.accessioned | 2017-11-29T10:03:04Z | |
dc.date.available | 2017-11-29T10:03:04Z | |
dc.date.created | 2014-12-09T18:00:30Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | IMA Journal of Numerical Analysis. 2015, 35 (3), 1047-1077. | nb_NO |
dc.identifier.issn | 0272-4979 | |
dc.identifier.uri | http://hdl.handle.net/11250/2468472 | |
dc.description.abstract | We prove convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation. Both the decaying case on the full line and the periodic case are considered. If the initial data u|t=0 = u0 is of high regularity, u0 ∈ H3 (R), the scheme is shown to converge to a classical solution, and if the regularity of the initial data is smaller, u0 ∈ L2 (R), then the scheme converges strongly in L2 (0, T; L2 loc(R)) to a weak solution. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Oxford University Press (OUP) | nb_NO |
dc.title | Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation | nb_NO |
dc.type | Journal article | nb_NO |
dc.description.version | submittedVersion | nb_NO |
dc.source.pagenumber | 1047-1077 | nb_NO |
dc.source.volume | 35 | nb_NO |
dc.source.journal | IMA Journal of Numerical Analysis | nb_NO |
dc.source.issue | 3 | nb_NO |
dc.identifier.doi | 10.1093/imanum/dru040 | |
dc.identifier.cristin | 1183033 | |
dc.relation.project | Norges forskningsråd: 214495 | nb_NO |
dc.description.localcode | This is a submitted manuscript of an article published by Oxford University Press in IMA Journal of Numerical Analysis, 16 October 2014 | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |