A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.

[EN]In this article, a family of one-step hybrid block methods having two intrastep points is developed for solving first-order initial value stiff differential systems that occur frequently in science and engineering. In each method of the family, an intrastep point controls the order of the main m...

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Detalles Bibliográficos
Autores: Singla, Rajat, Singh, Gurjinder, Ramos Calle, Higinio, Kanwar, Vinay
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/156364
Acceso en línea:http://hdl.handle.net/10366/156364
Access Level:acceso abierto
Palabra clave:Hybrid block method
Optimization strategy
Stiff initial value problem
12 Matemáticas
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repository_id_str
spelling A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.Singla, RajatSingh, GurjinderRamos Calle, HiginioKanwar, VinayHybrid block methodOptimization strategyStiff initial value problem12 Matemáticas[EN]In this article, a family of one-step hybrid block methods having two intrastep points is developed for solving first-order initial value stiff differential systems that occur frequently in science and engineering. In each method of the family, an intrastep point controls the order of the main method and a second one has a control over the stability features of the method. The approach used to develop the class of A-stable methods is based on interpolation and collocation procedures. The methods exhibit hybrid nature and produce numerical solutions at several points simultaneously. These methods can also be formulated as Runge-Kutta (RK) methods. Comparisons between the RK and block formulations of the proposed methods reveal a better performance of the block formulation in terms of computational efficiency. Furthermore, the efficiency of the methods is improved when they are formulated as adaptive step-size solvers using an error-control approach. Some methods of the proposed class have been tested to solve some well-known stiff differential systems. The numerical experiments show that the proposed family of methods performs well in comparison with some of the existing methods in the scientific literature.Hindawi202420242022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/156364reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1563642026-06-07T06:28:51Z
dc.title.none.fl_str_mv A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
title A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
spellingShingle A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
Singla, Rajat
Hybrid block method
Optimization strategy
Stiff initial value problem
12 Matemáticas
title_short A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
title_full A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
title_fullStr A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
title_full_unstemmed A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
title_sort A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
dc.creator.none.fl_str_mv Singla, Rajat
Singh, Gurjinder
Ramos Calle, Higinio
Kanwar, Vinay
author Singla, Rajat
author_facet Singla, Rajat
Singh, Gurjinder
Ramos Calle, Higinio
Kanwar, Vinay
author_role author
author2 Singh, Gurjinder
Ramos Calle, Higinio
Kanwar, Vinay
author2_role author
author
author
dc.subject.none.fl_str_mv Hybrid block method
Optimization strategy
Stiff initial value problem
12 Matemáticas
topic Hybrid block method
Optimization strategy
Stiff initial value problem
12 Matemáticas
description [EN]In this article, a family of one-step hybrid block methods having two intrastep points is developed for solving first-order initial value stiff differential systems that occur frequently in science and engineering. In each method of the family, an intrastep point controls the order of the main method and a second one has a control over the stability features of the method. The approach used to develop the class of A-stable methods is based on interpolation and collocation procedures. The methods exhibit hybrid nature and produce numerical solutions at several points simultaneously. These methods can also be formulated as Runge-Kutta (RK) methods. Comparisons between the RK and block formulations of the proposed methods reveal a better performance of the block formulation in terms of computational efficiency. Furthermore, the efficiency of the methods is improved when they are formulated as adaptive step-size solvers using an error-control approach. Some methods of the proposed class have been tested to solve some well-known stiff differential systems. The numerical experiments show that the proposed family of methods performs well in comparison with some of the existing methods in the scientific literature.
publishDate 2022
dc.date.none.fl_str_mv 2022
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/156364
url http://hdl.handle.net/10366/156364
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Hindawi
publisher.none.fl_str_mv Hindawi
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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