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dc.contributor.author | Cortés, J.-C. | es_ES |
dc.contributor.author | Navarro-Quiles, A. | es_ES |
dc.contributor.author | Romero, José-Vicente | es_ES |
dc.contributor.author | Roselló, María-Dolores | es_ES |
dc.date.accessioned | 2019-05-11T20:04:25Z | |
dc.date.available | 2019-05-11T20:04:25Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0096-3003 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/120363 | |
dc.description.abstract | [EN] This paper deals with the approximate computation of the first probability density function of the solution stochastic process to second-order linear differential equations with random analytic coefficients about ordinary points under very general hypotheses. Our approach is based on considering approximations of the solution stochastic process via truncated power series solution obtained from the random regular power series method together with the so-called Random Variable Transformation technique. The validity of the proposed method is shown through several illustrative examples. | es_ES |
dc.description.sponsorship | This work has been partially supported by the Ministerio de Econom ia y Competitividad grant MTM2013-41765-P. Ana Navarro Quiles acknowledges the doctorate scholarship granted by Programa de Ayudas de Investigacion y Desarrollo (PAID), Universitat Politecnica de Valencia. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Applied Mathematics and Computation | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Random variable transformation technique | es_ES |
dc.subject | Second-order random linear differential equation | es_ES |
dc.subject | Ordinary point | es_ES |
dc.subject | First probability density function | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Solving second-order linear differential equations with random analytic coefficients about ordinary points: A full probabilistic solution by the first probability density function | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.amc.2018.02.051 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2013-41765-P/ES/METODOS COMPUTACIONALES PARA ECUACIONES DIFERENCIALES ALEATORIAS: TEORIA Y APLICACIONES/ | 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 | Cortés, J.; Navarro-Quiles, A.; Romero, J.; Roselló, M. (2018). Solving second-order linear differential equations with random analytic coefficients about ordinary points: A full probabilistic solution by the first probability density function. Applied Mathematics and Computation. 331:33-45. https://doi.org/10.1016/j.amc.2018.02.051 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1016/j.amc.2018.02.051 | es_ES |
dc.description.upvformatpinicio | 33 | es_ES |
dc.description.upvformatpfin | 45 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 331 | es_ES |
dc.relation.pasarela | S\354940 | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |