Convergence of swartztrauber-sweets approximation for the poisson-type equation on a disk

DOI10.1080/01630569908816932zbMath0948.65109OpenAlexW2024085964MaRDI QIDQ4943331

Tetsuro Yamamoto, Nami Matsunaga

Publication date: 11 May 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816932

zbMATH Keywords

convergencenumerical examplePoisson-type equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Convergence of finite difference methods for convection--diffusion problems with singular solutions ⋮ Convergence Analysis of the Shortley-Weller Method on Refinement Grids for Elliptic Equations with Singularities ⋮ Convergence of the Swartztrauber-Sweet Method for Parabolic Problems on a Disk with Singularities ⋮ Nonuniform FDM for Poisson-Type Equations on a Disk with Singular Solutions ⋮ Error Analysis of Adaptive Finite Difference Methods Using Stretching Functions for Polar Coordinate Form of Poisson-Type Equation ⋮ Superconvergence of finite difference approximations for convection-diffusion problems ⋮ Superconvergence of finite difference approximations for convection-diffusion problems

Cites Work

• Introduction to the constructive theory of functions
• Elliptic Partial Differential Equations of Second Order
• The Direct Solution of the Discrete Poisson Equation on a Disk
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