dc.contributor.author | Eidnes, Sølve | |
dc.contributor.author | Owren, Brynjulf | |
dc.contributor.author | Ringholm, Torbjørn | |
dc.date.accessioned | 2018-05-24T06:38:49Z | |
dc.date.available | 2018-05-24T06:38:49Z | |
dc.date.created | 2017-09-19T12:38:01Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Advances in Computational Mathematics. 2017, 1-25. | nb_NO |
dc.identifier.issn | 1019-7168 | |
dc.identifier.uri | http://hdl.handle.net/11250/2498998 | |
dc.description.abstract | A framework for constructing integral preserving numerical schemes for time-dependent partial differential equations on non-uniform grids is presented. The approach can be used with both finite difference and partition of unity methods, thereby including finite element methods. The schemes are then extended to accommodate r-, h- and p-adaptivity. To illustrate the ideas, the method is applied to the Korteweg–de Vries equation and the sine-Gordon equation. Results from numerical experiments are presented. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer Verlag | nb_NO |
dc.relation.uri | https://arxiv.org/pdf/1507.02484.pdf | |
dc.title | Adaptive energy preserving methods for partial differential equations | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 1-25 | nb_NO |
dc.source.journal | Advances in Computational Mathematics | nb_NO |
dc.identifier.doi | 10.1007/s10444-017-9562-8 | |
dc.identifier.cristin | 1495326 | |
dc.relation.project | Norges forskningsråd: 231632 | nb_NO |
dc.description.localcode | This is a post-peer-review, pre-copyedit version of an article published in [Advances in Computational Mathematics] Locked until 21.9.2018 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1007/s10444-017-9562-8 | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |