Computation of spherical harmonic expansion coefficients via FFT's

DOI10.1016/0021-9991(85)90189-5zbMath0562.65098OpenAlexW2046330884MaRDI QIDQ1057048

Gary A. Dilts

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90189-5

zbMATH Keywords

numerical examplepotential theoryfast Fourier transformspherical harmonicscomparison with straightforward integration

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) General harmonic expansions, frames (42C15) Numerical methods for trigonometric approximation and interpolation (65T40) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Spherical harmonics (33C55) Numerical summation of series (65B10)

Related Items (10)

A fast algorithm for expansion over spherical harmonics ⋮ A test of a modified algorithm for computing spherical harmonic coefficients using an FFT ⋮ Double Fourier series on a sphere: Applications to elliptic and vorticity equations ⋮ Solving anisotropic subdiffusion problems in annuli and shells ⋮ FFTs on the rotation group ⋮ A performance comparison of associated Legendre projections ⋮ Fourier transform summation of Legendre series and \(D\)-functions ⋮ A fast transform for spherical harmonics ⋮ Computational harmonic analysis for tensor fields on the two-sphere ⋮ Global spherical harmonic computation by two-dimensional Fourier methods

Cites Work

• Associated Legendre functions on the cut
• On integral formulas of the (unit) sphere and their application to numerical computation of integrals
• A class of multidimensional periodic splines
• An error analysis of Goertzel's (Watt's) method for computing Fourier coefficients
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