New fractional step Runge-Kutta-Nyström methods up to order three
| dc.contributor.author | Bujanda Cirauqui, Blanca | |
| dc.contributor.author | Moreta, M. Jesús | |
| dc.contributor.author | Jorge Ulecia, Juan Carlos | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Institute of Smart Cities - ISC | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.date.accessioned | 2020-03-23T09:23:55Z | |
| dc.date.available | 2022-02-01T00:00:18Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | Fractional Step Runge–Kutta–Nyströ (FSRKN) methods have been revealed to be an excellent option to integrate numerically many multidimensional evolution models governed by second order in time partial differential equations. These methods, combined with suitable spatial discretizations, lead to strong computational cost reductions respect to many classical implicit time integrators. In this paper, we present the construction process of several implicit FSRKN methods of two and three levels which attain orders up to three and satisfy adequate stability properties. We have also performed some numerical experiments in order to show the unconditionally convergent behavior of these schemes as well as their computational advantages. | en |
| dc.description.sponsorship | B. Bujanda had financial support from VOLTEADOR 0011-1365-2018-000178, PERISEIS 4.0 PC054-055 and IoTrain RTI2018-095499-B-C31. M. J. Moreta had financial support from MTM 2015-66837-P. and PGC2018-101443-B-I00 J. C. Jorge had financial support from MTM2014-52859-P and MTM2017-83490-P. | en |
| dc.embargo.lift | 2022-02-01 | |
| dc.embargo.terms | 2022-02-01 | |
| dc.format.extent | 26 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1016/j.amc.2019.124743 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/36564 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Applied Mathematics and Computation, 2020, 366, 124743 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-66837-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83490-P/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1016/j.amc.2019.124743 | |
| dc.rights | © 2019 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc/3.0/es/ | |
| dc.subject | Fractional Step Runge-Kutta-Nyströ methods | en |
| dc.subject | Second-order partial differential equations | en |
| dc.title | New fractional step Runge-Kutta-Nyström methods up to order three | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| 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 |
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