dc.contributor.author | Celledoni, Elena | |
dc.contributor.author | McLaren, David | |
dc.contributor.author | Owren, Brynjulf | |
dc.contributor.author | Quispel, Reinout | |
dc.date.accessioned | 2020-04-21T11:36:29Z | |
dc.date.available | 2020-04-21T11:36:29Z | |
dc.date.created | 2018-09-22T15:45:16Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1751-8113 | |
dc.identifier.uri | https://hdl.handle.net/11250/2651890 | |
dc.description.abstract | Given a quadratic vector field on possessing a quadratic first integral depending on two of the independent variables, we give a constructive proof that Kahan's discretization method exactly preserves a nearby modified integral. Building on this result, we present a family of integrable quadratic vector fields (including the Euler top) whose Kahan discretization is a family of integrable maps. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | IOP | en_US |
dc.relation.uri | http://iopscience.iop.org/page/acceptedmanuscripts | |
dc.title | Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.volume | 52 | en_US |
dc.source.journal | Journal of Physics A: Mathematical and Theoretical | en_US |
dc.source.issue | 6 | en_US |
dc.identifier.doi | 10.1088/1751-8121/aafb1e | |
dc.identifier.cristin | 1612378 | |
dc.relation.project | Norges forskningsråd: 231632 | en_US |
dc.description.localcode | This is an author-created, un-copyedited version of an article accepted for publication/published in [Journal of Physics A: Mathematical and Theoretical ]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1751-8121/aafb1e | en_US |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |