Coupled Harmonic Equations, SOR, and Chebyshev Acceleration

DOI10.2307/2005162zbMath0249.65067OpenAlexW4233563703MaRDI QIDQ5663342

Louis W. Ehrlich

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2005162

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Point and block SOR applied to a coupled set of difference equations ⋮ On a relaxed SOR-method applied to nonsymmetric linear systems ⋮ The Modified Successive Overrelaxation Method with Fixed Parameters ⋮ Convergence theory of extrapolated iterative methods for a certain class of non-symmetric linear systems

Cites Work

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• Iterationsverfahren und allgemeine Euler-Verfahren. (Iterative and general Euler methods)
• Relaxation bei komplexen Matrizen
• A Comparison of the Successive Overrelaxation Method and Semi-Iterative Methods Using Chebyshev Polynomials
• On complex successive overrelaxation
• Accelerating the Jacobi Method for Solving Simultaneous Equations by Chebyshev Extrapolation When the Eigenvalues of the Iteration Matrix are Complex
• The Block Symmetric Successive Overrelaxation Method
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by finite Differences. I
• On the Spectral Norms of Several Iterative Processes
• Solving the Biharmonic Equation as Coupled Finite Difference Equations
• On Direct Methods for Solving Poisson’s Equations
• Convergence properties of the symmetric and unsymmetric successive overrelaxation methods and related methods
• The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by Finite Differences. II
• On Richardson's Method for Solving Linear Systems with Positive Definite Matrices
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type

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