On the numerical construction of ellipsoidal wave functions

Authors:
F. M. Arscott, P. J. Taylor and R. V. M. Zahar

Journal:
Math. Comp. **40** (1983), 367-380

MSC:
Primary 65D20; Secondary 33A60, 65H10, 65P05

DOI:
https://doi.org/10.1090/S0025-5718-1983-0679452-6

MathSciNet review:
679452

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Abstract: The ellipsoidal wave equation, which is the most general equation derived by separation of the Helmholtz equation in confocal coordinates, presents unusual computational difficulties, and its solutions, despite their importance for physical applications, have not hitherto been effectively computed.

This paper describes a successful technique, which involves the solution of a four-term recursion and the simultaneous handling of two eigenparameters.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1983-0679452-6

Article copyright:
© Copyright 1983
American Mathematical Society