Computational harmonic analysis for tensor fields on the two-sphere

DOI10.1006/jcph.2000.6551zbMath0979.65016OpenAlexW2060170052MaRDI QIDQ1585370

Dennis M. jun. Healy, Peter J. Kostelec, Daniel N. Rockmore, David K. Maslen

Publication date: 7 February 2002

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

Full work available at URL: https://semanticscholar.org/paper/0a329f3337ee36cebbe81de75257b0a563462b6f

zbMATH Keywords

numerical examplessampling theoremtensor fieldsband-limited tensor oscillatorsmonopole harmonicsvector and scalar spherical harmonics

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical methods for discrete and fast Fourier transforms (65T50) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90)

Related Items (7)

Boundary integral equation analysis for suspension of spheres in Stokes flow ⋮ Forced vibrations and wave propagation in multilayered solid spheres using a one-dimensional semi-analytical finite element method ⋮ Tensor calculus in spherical coordinates using Jacobi polynomials. I: Mathematical analysis and derivations ⋮ Orientational order on surfaces: the coupling of topology, geometry, and dynamics ⋮ Fast spin \(\pm \)2 spherical harmonics transforms and application in cosmology ⋮ FFTs on the rotation group ⋮ A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers

Cites Work

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• Computation of spherical harmonic expansion coefficients via FFT's
• A fast transform for spherical harmonics
• Fast and stable algorithms for discrete spherical Fourier transforms
• Computing Fourier transforms and convolutions on the 2-sphere
• FFTs for the 2-sphere-improvements and variations
• A Fast Algorithm for the Evaluation of Legendre Expansions
• Fast Discrete Polynomial Transforms with Applications to Data Analysis for Distance Transitive Graphs
• Spin-s Spherical Harmonics and ð

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