The numerical solution of an elliptic P.D.E. with periodic boundary conditions in a rectangular region by the spectral resolution method

DOI10.1016/0771-050X(82)90046-8zbMath0494.65059OpenAlexW1963811557MaRDI QIDQ1169268

S. O. Okolie, David J. Evans

Publication date: 1982

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0771-050x(82)90046-8

zbMATH Keywords

Helmholtz equationperiodic boundary conditionsblock matrix factorisationspectral resolution method

Mathematics Subject Classification ID

Factorization of matrices (15A23) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

The numerical solution of an elliptic P.D.E. with periodic boundary conditions in a rectangular region by the spectral resolution method

Cites Work

• A generalised sparse factorisation method for the solution of periodic tridiagonal systems
• The numerical solution of an elliptic P.D.E. with periodic boundary conditions in a rectangular region by the spectral resolution method
• On the Iterative Solution of the Matrix Equation AX 2 - I = 0
• An Algorithm for the Machine Calculation of Complex Fourier Series
• On Direct Methods for Solving Poisson’s Equations
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