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

This 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 pro...

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Detalles Bibliográficos
Autores: López Pouso, Óscar, Segura Sala, Jose Javier
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/43128
Acceso en línea:https://hdl.handle.net/10347/43128
Access Level:acceso abierto
Palabra clave:Fokker–Planck angular diffusion operator
Numerical differentiation
Discrete ordinates method
Charged particles
Light propagation
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spelling Analysis of difference schemes for the Fokker–Planck angular diffusion operatorLópez Pouso, ÓscarSegura Sala, Jose JavierFokker–Planck angular diffusion operatorNumerical differentiationDiscrete ordinates methodCharged particlesLight propagationThis 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.ElsevierUniversidade de Santiago de Compostela. Departamento de Matemática Aplicada20252025-03-0120252025-03-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/43128reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122625OB-I00 MODELADO, SIMULACION, OPTIMIZACION Y CONTROL. APLICACIONES EN CIENCIA E INDUSTRIAAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-127252NB-I00 METODOS NUMERICOS Y ASINTOTICOS PARA LA EVALUACION DE FUNCIONES MATEMATICAS Y SOFTWARE NUMERICO ASOCIADOopen accesshttp://purl.org/coar/access_right/c_abf2© 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/).http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/431282026-06-15T12:47:27Z
dc.title.none.fl_str_mv Analysis of difference schemes for the Fokker–Planck angular diffusion operator
title Analysis of difference schemes for the Fokker–Planck angular diffusion operator
spellingShingle Analysis of difference schemes for the Fokker–Planck angular diffusion operator
López Pouso, Óscar
Fokker–Planck angular diffusion operator
Numerical differentiation
Discrete ordinates method
Charged particles
Light propagation
title_short Analysis of difference schemes for the Fokker–Planck angular diffusion operator
title_full Analysis of difference schemes for the Fokker–Planck angular diffusion operator
title_fullStr Analysis of difference schemes for the Fokker–Planck angular diffusion operator
title_full_unstemmed Analysis of difference schemes for the Fokker–Planck angular diffusion operator
title_sort Analysis of difference schemes for the Fokker–Planck angular diffusion operator
dc.creator.none.fl_str_mv López Pouso, Óscar
Segura Sala, Jose Javier
author López Pouso, Óscar
author_facet López Pouso, Óscar
Segura Sala, Jose Javier
author_role author
author2 Segura Sala, Jose Javier
author2_role author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Matemática Aplicada
dc.subject.none.fl_str_mv Fokker–Planck angular diffusion operator
Numerical differentiation
Discrete ordinates method
Charged particles
Light propagation
topic Fokker–Planck angular diffusion operator
Numerical differentiation
Discrete ordinates method
Charged particles
Light propagation
description This 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.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-03-01
2025
2025-03-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/43128
url https://hdl.handle.net/10347/43128
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122625OB-I00 MODELADO, SIMULACION, OPTIMIZACION Y CONTROL. APLICACIONES EN CIENCIA E INDUSTRIA
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-127252NB-I00 METODOS NUMERICOS Y ASINTOTICOS PARA LA EVALUACION DE FUNCIONES MATEMATICAS Y SOFTWARE NUMERICO ASOCIADO
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
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