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Numerical solutions of random mean square Fisher-KPP models with advection

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Numerical solutions of random mean square Fisher-KPP models with advection

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dc.contributor.author Casabán Bartual, Mª Consuelo es_ES
dc.contributor.author Company Rossi, Rafael es_ES
dc.contributor.author Jódar Sánchez, Lucas Antonio es_ES
dc.date.accessioned 2021-03-05T04:32:46Z
dc.date.available 2021-03-05T04:32:46Z
dc.date.issued 2020-09-30 es_ES
dc.identifier.issn 0170-4214 es_ES
dc.identifier.uri http://hdl.handle.net/10251/163197
dc.description.abstract [EN] This paper deals with the construction of numerical stable solutions of random mean square Fisher-Kolmogorov-Petrosky-Piskunov (Fisher-KPP) models with advection. The construction of the numerical scheme is performed in two stages. Firstly, a semidiscretization technique transforms the original continuous problem into a nonlinear inhomogeneous system of random differential equations. Then, by extending to the random framework, the ideas of the exponential time differencing method, a full vector discretization of the problem addresses to a random vector difference scheme. A sample approach of the random vector difference scheme, the use of properties of Metzler matrices and the logarithmic norm allow the proof of stability of the numerical solutions in the mean square sense. In spite of the computational complexity, the results are illustrated by comparing the results with a test problem where the exact solution is known. es_ES
dc.description.sponsorship Ministerio de Economia y Competitividad, Grant/Award Number: MTM2017-89664-P es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Mathematical Methods in the Applied Sciences es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Computational methods for stochastic equations es_ES
dc.subject Exponential time differencing es_ES
dc.subject Mean square random calculus es_ES
dc.subject Partial differential equations with randomness es_ES
dc.subject Random Fisher-KPP equation es_ES
dc.subject Semidiscretization es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Numerical solutions of random mean square Fisher-KPP models with advection es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/mma.5942 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 Bartual, MC.; Company Rossi, R.; Jódar Sánchez, LA. (2020). Numerical solutions of random mean square Fisher-KPP models with advection. Mathematical Methods in the Applied Sciences. 43(14):8015-8031. https://doi.org/10.1002/mma.5942 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/mma.5942 es_ES
dc.description.upvformatpinicio 8015 es_ES
dc.description.upvformatpfin 8031 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 43 es_ES
dc.description.issue 14 es_ES
dc.relation.pasarela S\416970 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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