A Fast Cauchy-Riemann Solver

DOI10.2307/2006298zbMath0428.65055OpenAlexW4251095916MaRDI QIDQ3865398

Ramesh C. Balgovind, Michael Ghil

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006298

zbMATH Keywords

numerical examplesfast numerical solutionfast Poisson solversfinite difference operatorinhomogeneous Cauchy-Riemann equationsblock matrix formdiscrete five-point Laplacianelliptic system of two first-order linear equationsfast Cauchy-Riemann solver

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Meteorology and atmospheric physics (86A10) Direct numerical methods for linear systems and matrix inversion (65F05) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (2)

A fast elliptic solver for simply connected domains ⋮ Formulation and multigrid solution of Cauchy-Riemann optimal control problems

Cites Work

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• On artificial viscosity
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• A direct Method for the Discrete Solution of Separable Elliptic Equations
• Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics
• On Fourier-Toeplitz Methods for Separable Elliptic Problems
• The Solution of Elliptic Difference Equations by Semi-Explicit Iterative Techniques
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• A Finite Difference Analog of the Neumann Problem for Poisson’s Equation
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• On Direct Methods for Solving Poisson’s Equations
• A Generalized Cyclic Reduction Algorithm

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