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dc.contributor.author | Chen Charpentier, Benito Miguel | es_ES |
dc.contributor.author | Cortés López, Juan Carlos | es_ES |
dc.contributor.author | Romero Bauset, José Vicente | es_ES |
dc.contributor.author | Roselló Ferragud, María Dolores | es_ES |
dc.date.accessioned | 2014-03-24T10:59:03Z | |
dc.date.issued | 2013-05 | |
dc.identifier.issn | 0893-9659 | |
dc.identifier.uri | http://hdl.handle.net/10251/36597 | |
dc.description.abstract | The aim of this paper is to explore whether the generalized polynomial chaos (gPC) and random Fröbenius methods preserve the first three statistical moments of random differential equations. There exist exact solutions only for a few cases, so there is a need to use other techniques for validating the aforementioned methods in regards to their accuracy and convergence. Here we present a technique for indirectly study both methods. In order to highlight similarities and possible differences between both approaches, the study is performed by means of a simple but still illustrative test-example involving a random differential equation whose solution is highly oscillatory. This comparative study shows that the solutions of both methods agree very well when the gPC method is developed in terms of the optimal orthogonal polynomial basis selected according to the statistical distribution of the random input. Otherwise, we show that results provided by the gPC method deteriorate severely. A study of the convergence rates of both methods is also included. | es_ES |
dc.description.sponsorship | This work has been partially supported by the Spanish M.C.Y.T. grants MTM2009-08587, DPI2010-20891-C02-01 as well as the Universitat Politecnica de Valencia grants PAID06-11 (ref. 2070) and PAID00-11 (ref. 2753). | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Applied Mathematics Letters | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Random Fröbenius method | es_ES |
dc.subject | Generalized polynomial chaos | es_ES |
dc.subject | Statistical moments Random differential equations | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Do the generalized polynomial chaos and Fröbenius methods retain the statistical moments of random differential equations? | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.aml.2012.12.013 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2009-08587/ES/Ecuaciones Diferenciales Aleatorias Y Aplicaciones/ / | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UPV//PAID-06-11-2070/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UPV//PAID-00-11-2753/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//DPI2010-20891-C02-01/ES/MODELIZACION Y METODOS NUMERICOS, ALEATORIOS Y DETERMINISTAS, PARA EL FILTRADO DE PARTICULAS DIESEL EN MOTORES DE COMBUSTION INTERNA SOBREALIMENTADOS/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Chen Charpentier, BM.; Cortés López, JC.; Romero Bauset, JV.; Roselló Ferragud, MD. (2013). Do the generalized polynomial chaos and Fröbenius methods retain the statistical moments of random differential equations?. Applied Mathematics Letters. 26(5):553-558. https://doi.org/10.1016/j.aml.2012.12.013 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.aml.2012.12.013 | es_ES |
dc.description.upvformatpinicio | 553 | es_ES |
dc.description.upvformatpfin | 558 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 26 | es_ES |
dc.description.issue | 5 | es_ES |
dc.relation.senia | 234096 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |