Accurate calculation of the eigenvalues of non-uniform strings and membranes

Autores
Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We describe a pseudospectral approach which combines a mapping procedure with the principle of minimal sensitivity to obtain accurate estimates for the eigenvalues of non-uniform strings and both uniform and nonuniform membranes. We illustrate the method on specific examples, including the case of a cross shaped membrane, with arms of infinite length.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Química
Helmholtz equation
Pseudospectral methods
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/3.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/84394
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/84394
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Accurate calculation of the eigenvalues of non-uniform strings and membranesAmore, PaoloFernández, Francisco MarceloRodriguez, MartinQuímicaHelmholtz equationPseudospectral methodsWe describe a pseudospectral approach which combines a mapping procedure with the principle of minimal sensitivity to obtain accurate estimates for the eigenvalues of non-uniform strings and both uniform and nonuniform membranes. We illustrate the method on specific examples, including the case of a cross shaped membrane, with arms of infinite length.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2012-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf913-925http://sedici.unlp.edu.ar/handle/10915/84394enginfo:eu-repo/semantics/altIdentifier/issn/1895-1082info:eu-repo/semantics/altIdentifier/doi/10.2478/s11534-012-0033-zinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/3.0/Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-11-12T10:40:19Zoai:sedici.unlp.edu.ar:10915/84394Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-11-12 10:40:19.312SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Accurate calculation of the eigenvalues of non-uniform strings and membranes
title Accurate calculation of the eigenvalues of non-uniform strings and membranes
spellingShingle Accurate calculation of the eigenvalues of non-uniform strings and membranes
Amore, Paolo
Química
Helmholtz equation
Pseudospectral methods
title_short Accurate calculation of the eigenvalues of non-uniform strings and membranes
title_full Accurate calculation of the eigenvalues of non-uniform strings and membranes
title_fullStr Accurate calculation of the eigenvalues of non-uniform strings and membranes
title_full_unstemmed Accurate calculation of the eigenvalues of non-uniform strings and membranes
title_sort Accurate calculation of the eigenvalues of non-uniform strings and membranes
dc.creator.none.fl_str_mv Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
author Amore, Paolo
author_facet Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
author_role author
author2 Fernández, Francisco Marcelo
Rodriguez, Martin
author2_role author
author
dc.subject.none.fl_str_mv Química
Helmholtz equation
Pseudospectral methods
topic Química
Helmholtz equation
Pseudospectral methods
dc.description.none.fl_txt_mv We describe a pseudospectral approach which combines a mapping procedure with the principle of minimal sensitivity to obtain accurate estimates for the eigenvalues of non-uniform strings and both uniform and nonuniform membranes. We illustrate the method on specific examples, including the case of a cross shaped membrane, with arms of infinite length.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description We describe a pseudospectral approach which combines a mapping procedure with the principle of minimal sensitivity to obtain accurate estimates for the eigenvalues of non-uniform strings and both uniform and nonuniform membranes. We illustrate the method on specific examples, including the case of a cross shaped membrane, with arms of infinite length.
publishDate 2012
dc.date.none.fl_str_mv 2012-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/84394
url http://sedici.unlp.edu.ar/handle/10915/84394
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1895-1082
info:eu-repo/semantics/altIdentifier/doi/10.2478/s11534-012-0033-z
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/3.0/
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/3.0/
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0)
dc.format.none.fl_str_mv application/pdf
913-925
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.223955

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