Quantization-based integration methods for delay-differential equations

Autores
Castro, Rodrigo Daniel; Kofman, Ernesto Javier; Cellier, François E.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper introduces a new class of numerical delay differential equation solvers based on state quantization instead of time slicing. The numerical properties of these algorithms, i.e., stability and convergence, are discussed, and a number of benchmark problems are being simulated and compared with the state-of-the-art solutions to these problems as they have been previously reported in the open literature.
Fil: Castro, Rodrigo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina. Universidad de Buenos Aires; Argentina
Fil: Kofman, Ernesto Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
Fil: Cellier, François E.. Chalmers University Of Technology. Department Of Computer Science; Suecia
Materia
DELAY DIFFERENTIAL EQUATION
NUMERICAL DDE SOLVER
POWERDEVS
QUANTIZED STATE SYSTEM
STATE QUANTIZATION
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:11336/148666
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/148666
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Quantization-based integration methods for delay-differential equationsCastro, Rodrigo DanielKofman, Ernesto JavierCellier, François E.DELAY DIFFERENTIAL EQUATIONNUMERICAL DDE SOLVERPOWERDEVSQUANTIZED STATE SYSTEMSTATE QUANTIZATIONhttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1This paper introduces a new class of numerical delay differential equation solvers based on state quantization instead of time slicing. The numerical properties of these algorithms, i.e., stability and convergence, are discussed, and a number of benchmark problems are being simulated and compared with the state-of-the-art solutions to these problems as they have been previously reported in the open literature.Fil: Castro, Rodrigo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina. Universidad de Buenos Aires; ArgentinaFil: Kofman, Ernesto Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; ArgentinaFil: Cellier, François E.. Chalmers University Of Technology. Department Of Computer Science; SueciaElsevier Science2011-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/148666Castro, Rodrigo Daniel; Kofman, Ernesto Javier; Cellier, François E.; Quantization-based integration methods for delay-differential equations; Elsevier Science; Simulation Modelling Practice and Theory; 19; 1; 1-2011; 314-3361569-190XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S1569190X10001565info:eu-repo/semantics/altIdentifier/doi/10.1016/j.simpat.2010.07.003info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:47:46Zoai:ri.conicet.gov.ar:11336/148666instacron: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:34982025-11-05 09:47:47.209CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantization-based integration methods for delay-differential equations
title Quantization-based integration methods for delay-differential equations
spellingShingle Quantization-based integration methods for delay-differential equations
Castro, Rodrigo Daniel
DELAY DIFFERENTIAL EQUATION
NUMERICAL DDE SOLVER
POWERDEVS
QUANTIZED STATE SYSTEM
STATE QUANTIZATION
title_short Quantization-based integration methods for delay-differential equations
title_full Quantization-based integration methods for delay-differential equations
title_fullStr Quantization-based integration methods for delay-differential equations
title_full_unstemmed Quantization-based integration methods for delay-differential equations
title_sort Quantization-based integration methods for delay-differential equations
dc.creator.none.fl_str_mv Castro, Rodrigo Daniel
Kofman, Ernesto Javier
Cellier, François E.
author Castro, Rodrigo Daniel
author_facet Castro, Rodrigo Daniel
Kofman, Ernesto Javier
Cellier, François E.
author_role author
author2 Kofman, Ernesto Javier
Cellier, François E.
author2_role author
author
dc.subject.none.fl_str_mv DELAY DIFFERENTIAL EQUATION
NUMERICAL DDE SOLVER
POWERDEVS
QUANTIZED STATE SYSTEM
STATE QUANTIZATION
topic DELAY DIFFERENTIAL EQUATION
NUMERICAL DDE SOLVER
POWERDEVS
QUANTIZED STATE SYSTEM
STATE QUANTIZATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper introduces a new class of numerical delay differential equation solvers based on state quantization instead of time slicing. The numerical properties of these algorithms, i.e., stability and convergence, are discussed, and a number of benchmark problems are being simulated and compared with the state-of-the-art solutions to these problems as they have been previously reported in the open literature.
Fil: Castro, Rodrigo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina. Universidad de Buenos Aires; Argentina
Fil: Kofman, Ernesto Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
Fil: Cellier, François E.. Chalmers University Of Technology. Department Of Computer Science; Suecia
description This paper introduces a new class of numerical delay differential equation solvers based on state quantization instead of time slicing. The numerical properties of these algorithms, i.e., stability and convergence, are discussed, and a number of benchmark problems are being simulated and compared with the state-of-the-art solutions to these problems as they have been previously reported in the open literature.
publishDate 2011
dc.date.none.fl_str_mv 2011-01
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/11336/148666
Castro, Rodrigo Daniel; Kofman, Ernesto Javier; Cellier, François E.; Quantization-based integration methods for delay-differential equations; Elsevier Science; Simulation Modelling Practice and Theory; 19; 1; 1-2011; 314-336
1569-190X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/148666
identifier_str_mv Castro, Rodrigo Daniel; Kofman, Ernesto Javier; Cellier, François E.; Quantization-based integration methods for delay-differential equations; Elsevier Science; Simulation Modelling Practice and Theory; 19; 1; 1-2011; 314-336
1569-190X
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.sciencedirect.com/science/article/abs/pii/S1569190X10001565
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.simpat.2010.07.003
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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
_version_ 1847977148057387008
score 13.084122

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