Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge–Kutta–Nyström methods

Moreta, M. Jesús; Bujanda Cirauqui, Blanca; Jorge Ulecia, Juan Carlos

Publication:
Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge–Kutta–Nyström methods

dc.contributor.author	Moreta, M. Jesús
dc.contributor.author	Bujanda Cirauqui, Blanca
dc.contributor.author	Jorge Ulecia, Juan Carlos
dc.contributor.department	Ingeniería Matemática e Informática	es_ES
dc.contributor.department	Matematika eta Informatika Ingeniaritza	eu
dc.date.accessioned	2020-09-22T07:53:14Z
dc.date.available	2020-09-22T07:53:14Z
dc.date.issued	2016
dc.description.abstract	We 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.sponsorship	M.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.extent	33 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1016/j.camwa.2016.02.015
dc.identifier.issn	0898-1221
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/38166
dc.language.iso	eng	en
dc.publisher	Elsevier	en
dc.relation.ispartof	Computers and Mathematics with Applications, 2016, 71(7), 1425-1447	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//MTM2015-66837-P/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//TEC2013-45585-C2-1-R/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.1016/j.camwa.2016.02.015
dc.rights	© 2016 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	Fractional Step Runge–Kutta–Nyström methods	en
dc.subject	Second-order partial differential equations	en
dc.subject	Order reduction	en
dc.subject	Stability	en
dc.subject	Consistency	en
dc.title	Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge–Kutta–Nyström methods	en
dc.type	info:eu-repo/semantics/article	en
dc.type	Artículo / Artikulua	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dspace.entity.type	Publication
relation.isAuthorOfPublication	5ae28769-9c29-4de1-8a69-39593178c8cb
relation.isAuthorOfPublication	057cf9b6-54a9-4331-ade0-71ca16d5b57b
relation.isAuthorOfPublication.latestForDiscovery	5ae28769-9c29-4de1-8a69-39593178c8cb