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

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Central European Journal of Physics

Abstract

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.

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Authors and Affiliations

  1. Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, México

    Paolo Amore & Martin Rodriguez

  2. División Química Teórica, INIFTA (UNLP, CCT La Plata-CONICET), Blvd. 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

    Francisco M. Fernandez

Authors
  1. Paolo Amore
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  2. Francisco M. Fernandez
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  3. Martin Rodriguez
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Correspondence to Paolo Amore.

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Amore, P., Fernandez, F.M. & Rodriguez, M. Accurate calculation of the eigenvalues of non-uniform strings and membranes. centr.eur.j.phys. 10, 913–925 (2012). https://doi.org/10.2478/s11534-012-0033-z

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  • DOI: https://doi.org/10.2478/s11534-012-0033-z

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