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dc.contributor.author | Casabán, M.-C. | es_ES |
dc.contributor.author | Company Rossi, Rafael | es_ES |
dc.contributor.author | Jódar Sánchez, Lucas Antonio | es_ES |
dc.date.accessioned | 2020-04-01T07:15:50Z | |
dc.date.available | 2020-04-01T07:15:50Z | |
dc.date.issued | 2019-09 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/139934 | |
dc.description.abstract | [EN] This paper deals with the construction of numerical solutions of random hyperbolic models with a finite degree of randomness that make manageable the computation of its expectation and variance. The approach is based on the combination of the random Fourier transforms, the random Gaussian quadratures and the Monte Carlo method. The recovery of the solution of the original random partial differential problem throughout the inverse integral transform allows its numerical approximation using Gaussian quadratures involving the evaluation of the solution of the random ordinary differential problem at certain concrete values, which are approximated using Monte Carlo method. Numerical experiments illustrating the numerical convergence of the method are included. | es_ES |
dc.description.sponsorship | This work was partially supported by the Ministerio de Ciencia, Innovacion y Universidades Spanish grant MTM2017-89664-P. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | MDPI AG | es_ES |
dc.relation.ispartof | Mathematics | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Random hyperbolic problem | es_ES |
dc.subject | Mean square random calculus | es_ES |
dc.subject | Numerical solution | es_ES |
dc.subject | Random integral transform | es_ES |
dc.subject | Random Gauss quadrature rules | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Numerical Integral Transform Methods for Random Hyperbolic Models with a Finite Degree of Randomness | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/math7090853 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION 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 | Casabán, M.; Company Rossi, R.; Jódar Sánchez, LA. (2019). Numerical Integral Transform Methods for Random Hyperbolic Models with a Finite Degree of Randomness. Mathematics. 7(9):1-21. https://doi.org/10.3390/math7090853 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/math7090853 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 21 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 7 | es_ES |
dc.description.issue | 9 | es_ES |
dc.identifier.eissn | 2227-7390 | es_ES |
dc.relation.pasarela | S\393321 | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
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