High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures

Autores
Ackleh, Azmy S.; Lyons, Rainey; Saintier, Nicolas Bernard Claude
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy in the Bounded-Lipschitz norm is achieved by both schemes.
Fil: Ackleh, Azmy S.. University of Louisiana at Lafayette; Estados Unidos
Fil: Lyons, Rainey. Karlstad University; Suecia
Fil: Saintier, Nicolas Bernard Claude. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; Argentina
Materia
finite difference
coagulation-fragmentation
measure space
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/237147
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/237147
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measuresAckleh, Azmy S.Lyons, RaineySaintier, Nicolas Bernard Claudefinite differencecoagulation-fragmentationmeasure spacehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper, we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy in the Bounded-Lipschitz norm is achieved by both schemes.Fil: Ackleh, Azmy S.. University of Louisiana at Lafayette; Estados UnidosFil: Lyons, Rainey. Karlstad University; SueciaFil: Saintier, Nicolas Bernard Claude. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; ArgentinaAmerican Institute of Mathematical Sciences2023-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/237147Ackleh, Azmy S.; Lyons, Rainey; Saintier, Nicolas Bernard Claude; High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures; American Institute of Mathematical Sciences; Mathematical Biosciences and Engineering; 20; 7; 5-2023; 11805-118201551-0018CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.aimspress.com/article/doi/10.3934/mbe.2023525?viewType=HTMLinfo:eu-repo/semantics/altIdentifier/doi/10.3934/mbe.2023525info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:16:50Zoai:ri.conicet.gov.ar:11336/237147instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:16:50.631CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
title High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
spellingShingle High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
Ackleh, Azmy S.
finite difference
coagulation-fragmentation
measure space
title_short High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
title_full High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
title_fullStr High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
title_full_unstemmed High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
title_sort High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
dc.creator.none.fl_str_mv Ackleh, Azmy S.
Lyons, Rainey
Saintier, Nicolas Bernard Claude
author Ackleh, Azmy S.
author_facet Ackleh, Azmy S.
Lyons, Rainey
Saintier, Nicolas Bernard Claude
author_role author
author2 Lyons, Rainey
Saintier, Nicolas Bernard Claude
author2_role author
author
dc.subject.none.fl_str_mv finite difference
coagulation-fragmentation
measure space
topic finite difference
coagulation-fragmentation
measure space
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper, we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy in the Bounded-Lipschitz norm is achieved by both schemes.
Fil: Ackleh, Azmy S.. University of Louisiana at Lafayette; Estados Unidos
Fil: Lyons, Rainey. Karlstad University; Suecia
Fil: Saintier, Nicolas Bernard Claude. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; Argentina
description In this paper, we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy in the Bounded-Lipschitz norm is achieved by both schemes.
publishDate 2023
dc.date.none.fl_str_mv 2023-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/237147
Ackleh, Azmy S.; Lyons, Rainey; Saintier, Nicolas Bernard Claude; High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures; American Institute of Mathematical Sciences; Mathematical Biosciences and Engineering; 20; 7; 5-2023; 11805-11820
1551-0018
CONICET Digital
CONICET
url http://hdl.handle.net/11336/237147
identifier_str_mv Ackleh, Azmy S.; Lyons, Rainey; Saintier, Nicolas Bernard Claude; High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures; American Institute of Mathematical Sciences; Mathematical Biosciences and Engineering; 20; 7; 5-2023; 11805-11820
1551-0018
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.aimspress.com/article/doi/10.3934/mbe.2023525?viewType=HTML
info:eu-repo/semantics/altIdentifier/doi/10.3934/mbe.2023525
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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