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dc.contributor.authorAlonso Mallo, Isaías
dc.contributor.authorCano, Begoña
dc.contributor.authorReguera López, Nuria 
dc.date.accessioned2023-11-09T08:28:23Z
dc.date.available2023-11-09T08:28:23Z
dc.date.issued2018-08
dc.identifier.issn0272-4979
dc.identifier.urihttp://hdl.handle.net/10259/7965
dc.description.abstractIt is well known the order reduction phenomenon which arises when exponential methods are used to integrate time-dependent initial boundary value problems, so that the classical order of these methods is reduced. In particular, this subject has been recently studied for Lie–Trotter and Strang exponential splitting methods, and the order observed in practice has been exactly calculated. In this article, a technique is suggested to avoid that order reduction. We deal directly with nonhomogeneous time-dependent boundary conditions, without having to reduce the problem to the homogeneous ones. We give a thorough error analysis of the full discretization and justify why the computational cost of the technique is negligible in comparison with the rest of the calculations of the method. Some numerical results for dimension splittings are shown, which corroborate that much more accuracy is achieved.en
dc.description.sponsorshipMinisterio de Ciencia e Innovacion project [MTM2015-66837-P].en
dc.language.isoenges
dc.publisherOxford University Pressen
dc.relation.ispartofIMA Journal of Numerical Analysis. 2018, V. 38, n. 3, p. 1294-1323es
dc.subjectExponential Lie-Trotteren
dc.subjectExponential Strangen
dc.subjectAvoiding order reductionen
dc.subjectInitial boundary value problemsen
dc.subject.otherMatemáticases
dc.subject.otherMathematicsen
dc.titleAvoiding order reduction when integrating linear initial boundary value problems with exponential splitting methodsen
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.relation.publisherversionhttps://doi.org/10.1093/imanum/drx047es
dc.identifier.doi10.1093/imanum/drx047
dc.identifier.essn1464-3642
dc.journal.titleIMA Journal of Numerical Analysisen
dc.volume.number38es
dc.issue.number3es
dc.page.initial1294es
dc.page.final1323es
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones


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