Iterative methods of solution for the elliptic fourth boundary value problem

DOI10.1016/0378-4754(79)90074-0zbMath0446.65050OpenAlexW1972386977MaRDI QIDQ1145990

S. H. Smith

Publication date: 1979

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(79)90074-0

zbMATH Keywords

successive over-relaxationA.D.I. techniquesfourth boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Direct methods of solution of partial differential equations with periodic boundary conditions ⋮ Iterative methods of solution for the elliptic fourth boundary value problem ⋮ Fast solution of implicit methods for linear hyperbolic equations

Cites Work

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• Iterative methods of solution for the elliptic fourth boundary value problem
• On convergence of alternating direction procedures in the presence of singular operators
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• A Method of Block Iteration
• A Method of Normalized Block Iteration
• Runge-Kutta Methods for Integrating Differential Equations on High Speed Digital Computers
• Optimum Alternating-Direction-Implicit Iteration Parameters for a Model Problem
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• On Optimal Alternating Direction Parameters for Singular Matrices
• Periodicity Effects on the Iterative Solution of Elliptic Difference Equations
• COMPOSITE MATRICES

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