Double Fourier series on a sphere: Applications to elliptic and vorticity equations
type: Item
instance of: scholarly article
title: Double Fourier series on a sphere: Applications to elliptic and vorticity equations
zbMATH Open document ID: 0961.76062
author: Hyeong-Bin Cheong
published in: Journal of Computational Physics
publication date: 2001-06-05T00:00:00Z
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 1422642
zbMATH Keywords: double Fourier series
zbMATH Keywords: orthogonal basis functions
zbMATH Keywords: sine series
zbMATH Keywords: Poisson equation
zbMATH Keywords: vorticity equation
zbMATH Keywords: spherical harmonics filters
zbMATH Keywords: rotating Rossby-Haurwitz waves
describes a project that uses: Mathematica
describes a project that uses: chammp
MaRDI profile type: Publication
full work available at URL: jcph.1999.6385
OpenAlex ID: W2024531971
cites work: Multigrid methods for two- and three-dimensional Poisson-type equations on the sphere
cites work: Q3993205
cites work: Spectral algorithms for vector elliptic equations in a spherical gap
cites work: Computation of spherical harmonic expansion coefficients via FFT's
cites work: A test of a modified algorithm for computing spherical harmonic coefficients using an FFT
cites work: Spectral transform solutions to the shallow water test set
cites work: Q5287558
cites work: Fast shallow-water equation solvers in latitude-longitude coordinates
cites work: The direct solution of the discrete Poisson equation on the surface of a sphere
cites work: On the Spectral Approximation of Discrete Scalar and Vector Functions on the Sphere
cites work: The spectral element method for the shallow water equations on the sphere
cites work: A standard test set for numerical approximations to the shallow water equations in spherical geometry
cites work: Q3823708
DOI: 10.1006/JCPH.1999.6385
description: scientific article; zbMATH DE number 1422642