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A test of a modified algorithm for computing spherical harmonic coefficients using an FFT
- 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.
- Subjects :
- Numerical Analysis
Physics and Astronomy (miscellaneous)
Basis (linear algebra)
Applied Mathematics
Computation
Mathematical analysis
Fast Fourier transform
Spherical harmonics
Function (mathematics)
Legendre function
Computer Science Applications
Computational Mathematics
Modeling and Simulation
Harmonic
Algorithm
Fourier series
ComputingMethodologies_COMPUTERGRAPHICS
Mathematics
Subjects
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