A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries

DOI10.1093/imanum/22.4.537zbMath1011.65084OpenAlexW2107225582MaRDI QIDQ4787674

Wen-Wei Lin, Ming-Chih Lai, Wei-Chung Wang

Publication date: 2 June 2003

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/655c3f8d53dc447eafb5da244c904855fda3a9ef

zbMATH Keywords

Dirichlet problemcylindrical coordinatesfast Fourier transformPoisson equationfinite differenceFourier coefficientsspectral methodNeumann problemspherical coordinatesfast Poisson solverRobin problemFourier series expansionsymmetry constraint

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) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06)

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Uses Software

• FISHPAK