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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Autores principales: Amore, Paolo, Fernández, Francisco Marcelo, Rodriguez, Martin
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84394
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Sumario: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.