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A test of a modified algorithm for computing spherical harmonic coefficients using an FFT

Authors :
Mark Elowitz
F. Hill
T. L. Duvall
Source :
Journal of Computational Physics. 80:506-511
Publication Year :
1989
Publisher :
Elsevier BV, 1989.

Abstract

The Dilts (1985) algorithm for computing the spherical harmonic expansion coefficients for a function on a sphere, on the basis of a two-dimensional FFT, is presently modified, tested, and found to eliminate problems of overflow and large storage requirements associated with the encounter of harmonic degree values greater than 16. Results from timing tests show the Dilts program to be impractical, however, for the computation of spherical harmonic expansion coefficients for large harmonic degree values.

Details

ISSN :
00219991
Volume :
80
Database :
OpenAIRE
Journal :
Journal of Computational Physics
Accession number :
edsair.doi...........9544509af655b0e72288bebb2dac37cb
Full Text :
https://doi.org/10.1016/0021-9991(89)90115-0