High-order harmonic spectral filter with the double Fourier series on a sphere

DOI10.1006/JCPH.2002.6997zbMath0998.65119OpenAlexW1988605675MaRDI QIDQ1601511

Tae-Young Goo, Hyeong-Bin Cheong, Myeong-Joo Lee, In-Hyuk Kwon

Publication date: 5 August 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2002.6997

zbMATH Keywords

smoothingdiffusion equationdouble Fourier seriesPoisson equationbiharmonic spectral filterhigh-order harmonic spectral filterinversion of pentadiagonal matrix

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Further study on the high-order double-Fourier-series spectral filtering on a sphere.

Cites Work

• The spectral element method for the shallow water equations on the sphere
• Fast shallow-water equation solvers in latitude-longitude coordinates
• A fast spherical filter with uniform resolution
• Vortex erosion and amalgamation in a new model of large scale flow on the sphere
• Spectral transform solutions to the shallow water test set
• The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
• Double Fourier series on a sphere: Applications to elliptic and vorticity equations
• Application of double Fourier series to the shallow water equations on a sphere

This page was built for publication: High-order harmonic spectral filter with the double Fourier series on a sphere