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

• Authors: Paolo Amore , Francisco Fernandez , Martin Rodriguez
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

pseudospectral methods; Helmholtz equation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 4
• Pages: 913-925

Dates

published

1 - 8 - 2012

online

17 - 7 - 2012

Contributors

author

Paolo Amore

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

author

Francisco Fernandez

• 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

author

Martin Rodriguez

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

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Identifiers

DOI

10.2478/s11534-012-0033-z