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dc.creatorMoreta, M. Jesúses_ES
dc.creatorBujanda Cirauqui, Blancaes_ES
dc.creatorJorge Ulecia, Juan Carloses_ES
dc.date.accessioned2020-09-22T07:53:14Z
dc.date.available2020-09-22T07:53:14Z
dc.date.issued2016
dc.identifier.issn0898-1221
dc.identifier.urihttps://hdl.handle.net/2454/38166
dc.description.abstractWe study some of the main features of Fractional Step Runge–Kutta–Nyström methods when they are used to integrate Initial–Boundary Value Problems of second order in time, in combination with a suitable spatial discretization. We focus our attention on the order reduction phenomenon, which appears if classical boundary conditions are taken at the internal stages. This drawback is specially hard when time dependent boundary conditions are considered. In this paper we present an efficient technique, very simple and computationally cheap, which allows us to avoid the order reduction; such technique consists in modifying the boundary conditions for the internal stages of the method.en
dc.description.sponsorshipM.J. Moreta had financial support from MTM 2015-66837-P. B. Bujanda had financial support from TEC 2013-45585-C2-1-R. J.C. Jorge had financial support from MTM 2014-52859.en
dc.format.extent33 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofComputers and Mathematics with Applications, 2016, 71(7), 1425-1447en
dc.rights© 2016 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectFractional Step Runge–Kutta–Nyström methodsen
dc.subjectSecond-order partial differential equationsen
dc.subjectOrder reductionen
dc.subjectStabilityen
dc.subjectConsistencyen
dc.titleAvoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge–Kutta–Nyström methodsen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Ingeniería Matemática e Informáticaes_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Sailaeu
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.identifier.doi10.1016/j.camwa.2016.02.015
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM 2015-66837-Pen
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TEC 2013-45585en
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM 2014-52859en
dc.relation.publisherversionhttps://doi.org/10.1016/j.camwa.2016.02.015
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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© 2016 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0
Except where otherwise noted, this item's license is described as © 2016 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0