Discretized versions of Newton type iterative methods for conformal mapping

DOI10.1016/0377-0427(90)90358-7zbMath0695.30005OpenAlexW2059043429MaRDI QIDQ909818

Rudolf Wegmann

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90358-7

zbMATH Keywords

convergence speed for approximate solution of Theodorsen integral equationWittich's conjugation operator

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30)

Related Items (8)

Computing the Hilbert transform using biorthogonal spline wavelets ⋮ Numerical conformal mapping methods based on Faber series ⋮ Fast conformal mapping of an ellipse to a simply connected region ⋮ Convergence of numerical solution of generalized Theodorsen's nonlinear integral equation ⋮ Fast conformal mapping of multiply connected regions ⋮ The Riemann--Hilbert problem and the generalized Neumann kernel ⋮ A Formberg-like conformal mapping method for slender regions ⋮ Iterative methods for discrete nonlinear Riemann-Hilbert problems

Cites Work

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• Convergence proofs and error estimates for an iterative method for conformal mapping
• An iterative method for solving nonlinear Riemann-Hilbert problems
• An iterative method for conformal mapping
• The Newton method for solving the Theodorsen integral equation
• Numerical conformal mapping methods based on function conjugation
• Discrete Riemann-Hilbert problems, interpolation of simply closed curves, and numerical conformal mapping
• Conformal mapping by the method of alternating projections
• Fast Fourier Methods in Computational Complex Analysis
• Existence of a Solution to the Discrete Theodorsen Equation for Conformal Mappings
• Konstruktive Methoden der konformen Abbildung

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