Linearly implicit quantization-based integration methods for stiff ordinary differential equations
- Autores
- Migoni, Gustavo Andres; Bortolotto López, Mario Luciano; Kofmam, Ernesto; Cellier, François
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In this paper, new integration methods for stiff ordinary differential equations (ODEs) are developed. Following the idea of quantization-based integration (QBI), i.e., replacing the time discretization by state quantization, the proposed algorithms generalize the idea of linearly implicit algorithms. Also, the implementation of the new algorithms in a DEVS simulation tool is discussed. The efficiency of these new methods is verified by comparing their performance in the simulation of two benchmark problems with that of other numerical stiff ODE solvers. In particular, the advantages of these new algorithms for the simulation of electronic circuits are demonstrated.
Fil: Migoni, Gustavo Andres. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina
Fil: Bortolotto López, Mario Luciano. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina
Fil: Kofmam, Ernesto. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina
Fil: Cellier, François. Swiss Federal Institute of Technology Zurich; Suiza - Materia
-
Ordinary Differential Equations
Stiff Systems
State Quantization
Quantized State Systems
Powerdevs - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/3195
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Linearly implicit quantization-based integration methods for stiff ordinary differential equationsMigoni, Gustavo AndresBortolotto López, Mario LucianoKofmam, ErnestoCellier, FrançoisOrdinary Differential EquationsStiff SystemsState QuantizationQuantized State SystemsPowerdevshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper, new integration methods for stiff ordinary differential equations (ODEs) are developed. Following the idea of quantization-based integration (QBI), i.e., replacing the time discretization by state quantization, the proposed algorithms generalize the idea of linearly implicit algorithms. Also, the implementation of the new algorithms in a DEVS simulation tool is discussed. The efficiency of these new methods is verified by comparing their performance in the simulation of two benchmark problems with that of other numerical stiff ODE solvers. In particular, the advantages of these new algorithms for the simulation of electronic circuits are demonstrated.Fil: Migoni, Gustavo Andres. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; ArgentinaFil: Bortolotto López, Mario Luciano. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; ArgentinaFil: Kofmam, Ernesto. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; ArgentinaFil: Cellier, François. Swiss Federal Institute of Technology Zurich; SuizaElsevier2013-05-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3195Migoni, Gustavo Andres; Bortolotto López, Mario Luciano; Kofmam, Ernesto; Cellier, François; Linearly implicit quantization-based integration methods for stiff ordinary differential equations; Elsevier; Simulation Modelling Practice and Theory; 35; 3-5-2013; 118-1361569-190Xenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1569190X13000403info:eu-repo/semantics/altIdentifier/doi/10.1016/j.simpat.2013.03.004info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:01:36Zoai:ri.conicet.gov.ar:11336/3195instacron: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:34982025-09-03 10:01:37.214CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Linearly implicit quantization-based integration methods for stiff ordinary differential equations |
title |
Linearly implicit quantization-based integration methods for stiff ordinary differential equations |
spellingShingle |
Linearly implicit quantization-based integration methods for stiff ordinary differential equations Migoni, Gustavo Andres Ordinary Differential Equations Stiff Systems State Quantization Quantized State Systems Powerdevs |
title_short |
Linearly implicit quantization-based integration methods for stiff ordinary differential equations |
title_full |
Linearly implicit quantization-based integration methods for stiff ordinary differential equations |
title_fullStr |
Linearly implicit quantization-based integration methods for stiff ordinary differential equations |
title_full_unstemmed |
Linearly implicit quantization-based integration methods for stiff ordinary differential equations |
title_sort |
Linearly implicit quantization-based integration methods for stiff ordinary differential equations |
dc.creator.none.fl_str_mv |
Migoni, Gustavo Andres Bortolotto López, Mario Luciano Kofmam, Ernesto Cellier, François |
author |
Migoni, Gustavo Andres |
author_facet |
Migoni, Gustavo Andres Bortolotto López, Mario Luciano Kofmam, Ernesto Cellier, François |
author_role |
author |
author2 |
Bortolotto López, Mario Luciano Kofmam, Ernesto Cellier, François |
author2_role |
author author author |
dc.subject.none.fl_str_mv |
Ordinary Differential Equations Stiff Systems State Quantization Quantized State Systems Powerdevs |
topic |
Ordinary Differential Equations Stiff Systems State Quantization Quantized State Systems Powerdevs |
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, new integration methods for stiff ordinary differential equations (ODEs) are developed. Following the idea of quantization-based integration (QBI), i.e., replacing the time discretization by state quantization, the proposed algorithms generalize the idea of linearly implicit algorithms. Also, the implementation of the new algorithms in a DEVS simulation tool is discussed. The efficiency of these new methods is verified by comparing their performance in the simulation of two benchmark problems with that of other numerical stiff ODE solvers. In particular, the advantages of these new algorithms for the simulation of electronic circuits are demonstrated. Fil: Migoni, Gustavo Andres. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina Fil: Bortolotto López, Mario Luciano. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina Fil: Kofmam, Ernesto. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina Fil: Cellier, François. Swiss Federal Institute of Technology Zurich; Suiza |
description |
In this paper, new integration methods for stiff ordinary differential equations (ODEs) are developed. Following the idea of quantization-based integration (QBI), i.e., replacing the time discretization by state quantization, the proposed algorithms generalize the idea of linearly implicit algorithms. Also, the implementation of the new algorithms in a DEVS simulation tool is discussed. The efficiency of these new methods is verified by comparing their performance in the simulation of two benchmark problems with that of other numerical stiff ODE solvers. In particular, the advantages of these new algorithms for the simulation of electronic circuits are demonstrated. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-05-03 |
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/11336/3195 Migoni, Gustavo Andres; Bortolotto López, Mario Luciano; Kofmam, Ernesto; Cellier, François; Linearly implicit quantization-based integration methods for stiff ordinary differential equations; Elsevier; Simulation Modelling Practice and Theory; 35; 3-5-2013; 118-136 1569-190X |
url |
http://hdl.handle.net/11336/3195 |
identifier_str_mv |
Migoni, Gustavo Andres; Bortolotto López, Mario Luciano; Kofmam, Ernesto; Cellier, François; Linearly implicit quantization-based integration methods for stiff ordinary differential equations; Elsevier; Simulation Modelling Practice and Theory; 35; 3-5-2013; 118-136 1569-190X |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1569190X13000403 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.simpat.2013.03.004 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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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1842269706954735616 |
score |
13.13397 |