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A simplified integral equation method for the calculation of the eigenvalues of Helmholtz equation
Author(s) -
De Mey G.
Publication year - 1977
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620110813
Subject(s) - helmholtz equation , eigenvalues and eigenvectors , integral equation , electric field integral equation , mathematics , mathematical analysis , scalar (mathematics) , summation equation , helmholtz free energy , function (biology) , matrix differential equation , differential equation , physics , geometry , boundary value problem , quantum mechanics , evolutionary biology , biology
An integral equation method is presented for the numerical calculation of the eigenvalues of the scalar Helmholtz equation. By using a particular solution instead of Green's function, the calculations could be simplified due to the elimination of complex numbers.