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dc.contributor.authorBader, Philipp
dc.contributor.authorBlanes, Sergio
dc.contributor.authorCasas, Fernando
dc.contributor.authorKopylov, Nikita
dc.date.accessioned2019-03-11T12:44:13Z
dc.date.available2019-03-11T12:44:13Z
dc.date.issued2019-04
dc.identifier.citationBADER, Philipp, et al. Novel symplectic integrators for the Klein–Gordon equation with space-and time-dependent mass. Journal of Computational and Applied Mathematics, 2019, 350: 130-138.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/181813
dc.description.abstractWe consider the numerical time-integration of the non-stationary Klein–Gordon equation with position- and time-dependent mass. A novel class of time-averaged symplectic splitting methods involving double commutators is analyzed and 4th- and 6th-order integrators are obtained. In contrast with standard splitting methods (that contain negative coefficients if the order is higher than two), additional commutators are incorporated into the schemes considered here. As a result, we can circumvent this order barrier and construct high order integrators with positive coefficients and a much reduced number of stages, thus improving considerably their efficiency. The performance of the new schemes is tested on several examples.ca_CA
dc.format.extent9 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.rights© 2018 Elsevier B.V. All rights reserved.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectKlein–Gordon equationca_CA
dc.subjecttime-dependent massca_CA
dc.subjectsecond-order linear differential equationsca_CA
dc.subjectsymplectic integratorsca_CA
dc.subjectMagnus expansionca_CA
dc.titleNovel symplectic integrators for the Klein-Gordon equation with space- and time-dependent massca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.cam.2018.10.011
dc.relation.projectIDMinisterio de Economía, Industria y Competitividad (Spain) (MTM2016-77660-P (AEI/FEDER, UE)); Generalitat Valenciana GRISOLIA/2015/A/137).ca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://www.sciencedirect.com/science/article/pii/S0377042718306186ca_CA
dc.type.versioninfo:eu-repo/semantics/submittedVersionca_CA


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