Iterative solution of the robbins problem using FFT methods

DOI10.1080/00207169208804132zbMath0770.65063OpenAlexW2045348487MaRDI QIDQ4032920

W. M. Pickering, Peter John Harley

Publication date: 16 May 1993

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804132

zbMATH Keywords

convergencefast Fourier transformiterative methodNumerical resultsRobbins problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Numerical solution of non-separable elliptic equations by the iterative application of FFT methods ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey

Uses Software

• POT4A

Cites Work

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• POT4A - A program for the direct solution of Poisson's equation in complex geometries
• Use of fast Fourier transforms for solving partial differential equations in physics
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis

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