Generalized discrete spherical harmonic transforms

DOI10.1006/jcph.2000.6431zbMath0962.65117OpenAlexW1966453186MaRDI QIDQ1976831

Paul N. Swarztrauber, William F. Spotz

Publication date: 23 November 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.2000.6431

zbMATH Keywords

numerical examplesprojection methodLegendre transformassociated Legendre functionsspherical harmonic transforms

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for discrete and fast Fourier transforms (65T50) Spherical harmonics (33C55)

Related Items

The motion of a deforming capsule through a corner, A spectral boundary integral method for simulating electrohydrodynamic flows in viscous drops, Fast algorithms for spherical harmonic expansions. II., THE VECTOR MULTIPROCESSOR, Fast structured Jacobi-Jacobi transforms, Application of double Fourier series to the shallow water equations on a sphere, A spectral boundary integral method for flowing blood cells, A performance comparison of associated Legendre projections, An algorithm for the rapid evaluation of special function transforms, A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers, On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks, Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids, Fast algorithms for spherical harmonic expansions. III, Spherical harmonic projectors

Uses Software

• SPHEREPACK

Cites Work

• Unnamed Item
• Multipole expansions and pseudospectral cardinal functions: A new generalization of the fast Fourier transform
• Fast shallow-water equation solvers in latitude-longitude coordinates
• A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics
• A fast spherical filter with uniform resolution
• On the Spectral Approximation of Discrete Scalar and Vector Functions on the Sphere
• A Practical Guide to Pseudospectral Methods
• A performance comparison of associated Legendre projections