2016/06/01 by J. Sesma, Sesma, J.
Computer Science · Earth and Planetary Sciences · Mathematics · #33E10 (Primary) #33F05 #34L16 #65D20 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Seismic Imaging and Inversion Techniques #math.CA #msc:33E10 #msc:33F05 #msc:34L16 #msc:65D20
paper · pdf · doi:10.48550/arxiv.1606.00149
20 pages, 10 figures
arxiv created 2016/06/01 · openalex publication_date 2016/06/01 · arxiv updated 2016/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An algorithm for computing eigenvalues and eigenfunctions of the angular spheroidal wave equation, based on a known but scarcely used method, is developed. By requiring the regularity of the wave function, represented by its series expansion, the eigenvalues appear as the zeros of a one variable function easily computable. The iterative extended Newton method is suggested as especially suitable for determining those zeros. The computation of the eigenfunctions is then immediate. The usefulness of the method, applicable also in the case of complex values of the "prolateness" parameter, is illustrated by comparing its results with those of procedures used by other authors.