A hybrid method using wavelets for the numerical solution of boundary value problems on the interval

Autores
Vampa, Victoria Cristina; Martín, María Teresa; Serrano, Eduardo Pedro
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, various aspects of wavelet-based methods for second order boundary value problems under Galerkin framework are investigated. Based on the B-spline multiresolution analysis (MRA) on the line we propose a hybrid method on the interval which combines different treatments for interior and boundary splines. By using this procedure, the MRA structure was conserved and hierarchical representations of the solution at different scales were obtained without much computational effort. Numerical examples are given to verify the effectiveness of the proposed method and the comparison with other techniques is presented.
Fil: Vampa, Victoria Cristina. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
Fil: Martín, María Teresa. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Serrano, Eduardo Pedro. Universidad Nacional de San Martín; Argentina
Materia
B-SPLINE FUNCTIONS
MULTIRESOLUTION ANALYSIS
WAVELET_GALERKIN
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:11336/278675
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A hybrid method using wavelets for the numerical solution of boundary value problems on the intervalVampa, Victoria CristinaMartín, María TeresaSerrano, Eduardo PedroB-SPLINE FUNCTIONSMULTIRESOLUTION ANALYSISWAVELET_GALERKINhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work, various aspects of wavelet-based methods for second order boundary value problems under Galerkin framework are investigated. Based on the B-spline multiresolution analysis (MRA) on the line we propose a hybrid method on the interval which combines different treatments for interior and boundary splines. By using this procedure, the MRA structure was conserved and hierarchical representations of the solution at different scales were obtained without much computational effort. Numerical examples are given to verify the effectiveness of the proposed method and the comparison with other techniques is presented.Fil: Vampa, Victoria Cristina. Universidad Nacional de La Plata. Facultad de Ingeniería; ArgentinaFil: Martín, María Teresa. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Serrano, Eduardo Pedro. Universidad Nacional de San Martín; ArgentinaElsevier Science Inc.2010-12info: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/11336/278675Vampa, Victoria Cristina; Martín, María Teresa; Serrano, Eduardo Pedro; A hybrid method using wavelets for the numerical solution of boundary value problems on the interval; Elsevier Science Inc.; Applied Mathematics and Computation; 217; 7; 12-2010; 3355-33670096-3003CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S009630031000932Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2010.08.068info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-01-14T12:46:11Zoai:ri.conicet.gov.ar:11336/278675instacron: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:34982026-01-14 12:46:11.28CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
title A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
spellingShingle A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
Vampa, Victoria Cristina
B-SPLINE FUNCTIONS
MULTIRESOLUTION ANALYSIS
WAVELET_GALERKIN
title_short A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
title_full A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
title_fullStr A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
title_full_unstemmed A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
title_sort A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
dc.creator.none.fl_str_mv Vampa, Victoria Cristina
Martín, María Teresa
Serrano, Eduardo Pedro
author Vampa, Victoria Cristina
author_facet Vampa, Victoria Cristina
Martín, María Teresa
Serrano, Eduardo Pedro
author_role author
author2 Martín, María Teresa
Serrano, Eduardo Pedro
author2_role author
author
dc.subject.none.fl_str_mv B-SPLINE FUNCTIONS
MULTIRESOLUTION ANALYSIS
WAVELET_GALERKIN
topic B-SPLINE FUNCTIONS
MULTIRESOLUTION ANALYSIS
WAVELET_GALERKIN
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 work, various aspects of wavelet-based methods for second order boundary value problems under Galerkin framework are investigated. Based on the B-spline multiresolution analysis (MRA) on the line we propose a hybrid method on the interval which combines different treatments for interior and boundary splines. By using this procedure, the MRA structure was conserved and hierarchical representations of the solution at different scales were obtained without much computational effort. Numerical examples are given to verify the effectiveness of the proposed method and the comparison with other techniques is presented.
Fil: Vampa, Victoria Cristina. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
Fil: Martín, María Teresa. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Serrano, Eduardo Pedro. Universidad Nacional de San Martín; Argentina
description In this work, various aspects of wavelet-based methods for second order boundary value problems under Galerkin framework are investigated. Based on the B-spline multiresolution analysis (MRA) on the line we propose a hybrid method on the interval which combines different treatments for interior and boundary splines. By using this procedure, the MRA structure was conserved and hierarchical representations of the solution at different scales were obtained without much computational effort. Numerical examples are given to verify the effectiveness of the proposed method and the comparison with other techniques is presented.
publishDate 2010
dc.date.none.fl_str_mv 2010-12
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/11336/278675
Vampa, Victoria Cristina; Martín, María Teresa; Serrano, Eduardo Pedro; A hybrid method using wavelets for the numerical solution of boundary value problems on the interval; Elsevier Science Inc.; Applied Mathematics and Computation; 217; 7; 12-2010; 3355-3367
0096-3003
CONICET Digital
CONICET
url http://hdl.handle.net/11336/278675
identifier_str_mv Vampa, Victoria Cristina; Martín, María Teresa; Serrano, Eduardo Pedro; A hybrid method using wavelets for the numerical solution of boundary value problems on the interval; Elsevier Science Inc.; Applied Mathematics and Computation; 217; 7; 12-2010; 3355-3367
0096-3003
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/S009630031000932X
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2010.08.068
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
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Inc.
publisher.none.fl_str_mv Elsevier Science Inc.
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 13.113929

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