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

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...

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Detalles Bibliográficos
Autores principales: Amore, Paolo, Fernández, Francisco Marcelo, Rodriguez, Martin
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Química
Helmholtz equation
Pseudospectral methods
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84394
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-84394
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Química
Helmholtz equation
Pseudospectral methods
spellingShingle Química
Helmholtz equation
Pseudospectral methods
Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
Accurate calculation of the eigenvalues of non-uniform strings and membranes
topic_facet Química
Helmholtz equation
Pseudospectral methods
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.
format Articulo
Articulo
author Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
author_facet Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
author_sort Amore, Paolo
title Accurate calculation of the eigenvalues of non-uniform strings and membranes
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
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/84394
work_keys_str_mv AT amorepaolo accuratecalculationoftheeigenvaluesofnonuniformstringsandmembranes
AT fernandezfranciscomarcelo accuratecalculationoftheeigenvaluesofnonuniformstringsandmembranes
AT rodriguezmartin accuratecalculationoftheeigenvaluesofnonuniformstringsandmembranes
bdutipo_str Repositorios
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