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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/237147
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T09:47:59Zoai: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:34982025-09-29 09:47:59.348CONICET 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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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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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13.070432 |