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dc.contributor.authorMartín-Vergara, Francisca
dc.contributor.authorRus-Mansilla, Francisco de Asís 
dc.contributor.authorVillatoro-Machuca, Francisco Román 
dc.date.accessioned2023-05-16T09:17:31Z
dc.date.available2023-05-16T09:17:31Z
dc.date.issued2020
dc.identifier.citationF. Martin-Vergara, F. Rus, F.R. Villatoro. ”Padé schemes with Richardson’s extrapolation for the sine–Gordon equation,” Communications in Nonlinear Science and Numerical Simulation 85: 105243 (2020). ISSN 1007-5704, doi:10.1016/j.cnsns.2020.105243.es_ES
dc.identifier.issn1007-5704
dc.identifier.urihttps://hdl.handle.net/10630/26570
dc.descriptionVersión preprint ya que por motivos de derechos de propiedad intelectual no es posible subir la versión publicada del artículo.es_ES
dc.description.abstractFour novel implicit finite difference methods with ( q + s ) -th order in space based on ( q, s )-Padé approximations have been analyzed and developed for the sine-Gordon equation. Specifically, (4,0)-, (2,2)-, (4,2)-, and (4,4)-Padé methods. All of them share the treatment for the nonlinearity and integration in time, specifically, the one that results in an energy-conserving (2,0)-Padé scheme. The five methods have been developed with and without Richardson extrapolation in time. All the methods are linearly, unconditionally stable. A comparison among them for both the kink–antikink and breather solutions in terms of global error, computational cost and energy conservation is presented. Our results indicate that the (4,0)- and (4,4)-Padé methods without Richardson extrapolation are the most cost-effective ones for small and large global error, respectively; and the (4,4)-Padé methods in all the cases when Richardson extrapolation is used.es_ES
dc.description.sponsorshipProject DeepBIO (TIN2017-85727-C4-1-P) of the Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia del Ministerio de Ciencia e Innovación of Spain Project RoCoSoyCo (UMA18-FEDERJA-248) of the Consejería de Economía y Conocimiento, Junta de Andalucía, Spain.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectEcuaciones diferencialeses_ES
dc.subjectMétodos numéricoses_ES
dc.subject.otherPadé numerical methodses_ES
dc.subject.otherImplicit time integrationes_ES
dc.subject.otherRichardson extrapolationes_ES
dc.subject.otherSine-Gordon equationes_ES
dc.titlePadé numerical schemes with Richardson extrapolation for the sine–Gordon equationes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.centroEscuela de Ingenierías Industrialeses_ES
dc.identifier.doi10.1016/j.cnsns.2020.105243
dc.rights.ccAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersiones_ES


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