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 | |
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