A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems

Autores
Vampa, Victoria Cristina; Martín, María Teresa; Serrano, Eduardo Pedro
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, a new Wavelet–Galerkin method for boundary value problems is presented. It improves the approximation in terms of scaling functions obtained through a collocation scheme combined with variational equations. A B-spline multiresolution structure on the interval is designed in order to refine the solution recursively and efficiently using wavelets. Numerical examples are given to verify good convergence properties of the proposed method.
Fil: Vampa, Victoria Cristina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina
Fil: Martín, María Teresa. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Serrano, Eduardo Pedro. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología; Argentina
Materia
B-Spline Functions
Second Order Boundary Problems
Wavelets
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:11336/23578
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problemsVampa, Victoria CristinaMartín, María TeresaSerrano, Eduardo PedroB-Spline FunctionsSecond Order Boundary ProblemsWaveletsMultiresolution AnalysisWavelet–Galerkinhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work, a new Wavelet–Galerkin method for boundary value problems is presented. It improves the approximation in terms of scaling functions obtained through a collocation scheme combined with variational equations. A B-spline multiresolution structure on the interval is designed in order to refine the solution recursively and efficiently using wavelets. Numerical examples are given to verify good convergence properties of the proposed method.Fil: Vampa, Victoria Cristina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; ArgentinaFil: Martín, María Teresa. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Serrano, Eduardo Pedro. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología; ArgentinaWorld Scientific2013-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/23578Vampa, Victoria Cristina; Martín, María Teresa; Serrano, Eduardo Pedro; A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems; World Scientific; International Journal of Wavelets, Multiresolution and Information Processing; 11; 2; 3-2013; 135001501-1350015190219-69131793-690XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S021969131350015Xinfo:eu-repo/semantics/altIdentifier/doi/10.1142/S021969131350015Xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:18:26Zoai:ri.conicet.gov.ar:11336/23578instacron: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:34982025-10-15 15:18:26.736CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems
title A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems
spellingShingle A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems
Vampa, Victoria Cristina
B-Spline Functions
Second Order Boundary Problems
Wavelets
Multiresolution Analysis
Wavelet–Galerkin
title_short A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems
title_full A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems
title_fullStr A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems
title_full_unstemmed A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems
title_sort A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems
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
Second Order Boundary Problems
Wavelets
Multiresolution Analysis
Wavelet–Galerkin
topic B-Spline Functions
Second Order Boundary Problems
Wavelets
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, a new Wavelet–Galerkin method for boundary value problems is presented. It improves the approximation in terms of scaling functions obtained through a collocation scheme combined with variational equations. A B-spline multiresolution structure on the interval is designed in order to refine the solution recursively and efficiently using wavelets. Numerical examples are given to verify good convergence properties of the proposed method.
Fil: Vampa, Victoria Cristina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina
Fil: Martín, María Teresa. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Serrano, Eduardo Pedro. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología; Argentina
description In this work, a new Wavelet–Galerkin method for boundary value problems is presented. It improves the approximation in terms of scaling functions obtained through a collocation scheme combined with variational equations. A B-spline multiresolution structure on the interval is designed in order to refine the solution recursively and efficiently using wavelets. Numerical examples are given to verify good convergence properties of the proposed method.
publishDate 2013
dc.date.none.fl_str_mv 2013-03
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/11336/23578
Vampa, Victoria Cristina; Martín, María Teresa; Serrano, Eduardo Pedro; A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems; World Scientific; International Journal of Wavelets, Multiresolution and Information Processing; 11; 2; 3-2013; 135001501-135001519
0219-6913
1793-690X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/23578
identifier_str_mv Vampa, Victoria Cristina; Martín, María Teresa; Serrano, Eduardo Pedro; A new refinement Wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems; World Scientific; International Journal of Wavelets, Multiresolution and Information Processing; 11; 2; 3-2013; 135001501-135001519
0219-6913
1793-690X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S021969131350015X
info:eu-repo/semantics/altIdentifier/doi/10.1142/S021969131350015X
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 World Scientific
publisher.none.fl_str_mv World Scientific
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_ 1846083333579079680
score 13.22299

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