Analysis of difference schemes for the Fokker–Planck angular diffusion operator

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemática Aplicada
dc.contributor.authorLópez Pouso, Óscar
dc.contributor.authorSegura Sala, Jose Javier
dc.date.accessioned2025-10-16T13:01:56Z
dc.date.available2025-10-16T13:01:56Z
dc.date.issued2025-03-01
dc.description.abstractThis paper is dedicated to the mathematical analysis of difference schemes for discretizing the angular diffusion operator present in the azimuth–independent Fokker–Planck equation. The study establishes sets of sufficient conditions to ensure that the schemes achieve convergence of order 2, and provides insights into the rationale behind certain widely recognized discrete ordinates methods. In the process, interesting properties regarding Gaussian nodes and weights, which until now have remained unnoticed by mathematicians, naturally emerge.
dc.description.peerreviewedSI
dc.description.sponsorshipOLP acknowledges support from Ministerio de Ciencia e Innovación, project PID2021-122625OB-I00 with funds from MCIN/AEI/10.13039/501100011033/ ERDF, EU, and from the Xunta de Galicia (2021 GRC Gl-1563 - ED431C 2021/15). JS acknowledges support from Ministerio de Ciencia e Innovación, project PID2021-127252NB-I00 with funds from MCIN/AEI/10.13039/501100011033/ ERDF, EU.
dc.identifier.citationLópez Pouso, Ó, & Segura, J. (2025). Analysis of difference schemes for the Fokker–Planck angular diffusion operator. Computers & Mathematics with Applications, 181, 84–110. 10.1016/j.camwa.2025.01.005
dc.identifier.doi10.1016/j.camwa.2025.01.005
dc.identifier.issn0898-1221
dc.identifier.urihttps://hdl.handle.net/10347/43128
dc.journal.titleComputers & Mathematics with Applications
dc.language.isoeng
dc.page.final110
dc.page.initial84
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-122625OB-I00/ES/MODELADO, SIMULACION, OPTIMIZACION Y CONTROL. APLICACIONES EN CIENCIA E INDUSTRIA
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-127252NB-I00/ES/METODOS NUMERICOS Y ASINTOTICOS PARA LA EVALUACION DE FUNCIONES MATEMATICAS Y SOFTWARE NUMERICO ASOCIADO
dc.relation.publisherversionhttps://doi.org/10.1016/j.camwa.2025.01.005
dc.rights© 2025 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFokker–Planck angular diffusion operator
dc.subjectNumerical differentiation
dc.subjectDiscrete ordinates method
dc.subjectCharged particles
dc.subjectLight propagation
dc.titleAnalysis of difference schemes for the Fokker–Planck angular diffusion operator
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number181
dspace.entity.typePublication
relation.isAuthorOfPublication4c1cc53c-ed78-438f-9b41-716b1eabc09b
relation.isAuthorOfPublication.latestForDiscovery4c1cc53c-ed78-438f-9b41-716b1eabc09b

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