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Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing

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Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing

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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.contributor.author Sohaly, M.A. es_ES
dc.date.accessioned 2019-06-02T20:01:08Z
dc.date.available 2019-06-02T20:01:08Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0377-0427 es_ES
dc.identifier.uri http://hdl.handle.net/10251/121431
dc.description.abstract [EN] In this paper, a random finite difference scheme to solve numerically the random Cauchy one-dimensional advection-diffusion partial differential equation is proposed and studied. Throughout our analysis both the advection and diffusion coefficients are assumed to be random variables while the deterministic initial condition is assumed to possess a discrete Fourier transform. For the sake of generality in our study, we consider that the advection and diffusion coefficients are statistical dependent random variables. Under mild conditions on the data, it is demonstrated that the proposed random numerical scheme is mean square consistent and stable. Finally, the theoretical results are illustrated by means of two numerical examples. es_ES
dc.description.sponsorship This work has been partially supported by the Ministerio de Economia 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. M.A. Sohaly is also indebted to Egypt Ministry of Higher Education Cultural Affairs for its financial support [mohe-casem(2016)]. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation MINECO/MTM2013-41765-P es_ES
dc.relation.ispartof Journal of Computational and Applied Mathematics es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Random Cauchy advection-diffusion equation es_ES
dc.subject Mean square random convergence es_ES
dc.subject Random finite difference scheme es_ES
dc.subject Random consistency es_ES
dc.subject Random stability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2017.02.001 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.; Sohaly, M. (2018). Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing. Journal of Computational and Applied Mathematics. 330:920-936. https://doi.org/10.1016/j.cam.2017.02.001 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1016/j.cam.2017.02.001 es_ES
dc.description.upvformatpinicio 920 es_ES
dc.description.upvformatpfin 936 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 330 es_ES
dc.relation.pasarela S\326241 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES


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