Solving Theodorsen's integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods

DOI10.1007/BF01395955zbMath0451.65101MaRDI QIDQ1148114

Martin H. Gutknecht

Publication date: 1981

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132711

zbMATH Keywords

fast Fourier transformconformal mapsoverrelaxationnonlinear iterative methodsoptimal iteration parameterTheodorsen's integral equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical methods for integral equations (65R20) Trigonometric interpolation (42A15) Numerical interpolation (65D05) Numerical methods for trigonometric approximation and interpolation (65T40) Conjugate functions, conjugate series, singular integrals (42A50) Schwarz-Christoffel-type mappings (30C30)

Related Items

Existence of a Solution to the Discrete Theodorsen Equation for Conformal Mappings ⋮ k-step iterative methods for solving nonlinear systems of equations ⋮ On some relations among numerical conformal mapping methods ⋮ Quadrature methods for periodic singular and weakly singular Fredholm integral equations ⋮ Conformal mapping by the method of alternating projections ⋮ Über die Anzahl der Lösungen der diskreten Theodorsen-Gleichung ⋮ Orthogonal polynomials of equilibrium measures supported on Cantor sets ⋮ Extracting singularities of Cauchy integrals -- a key point of a fast solver for plane potential problems with mixed boundary conditions ⋮ Mode III stress intensity factor ahead of a rough crack ⋮ An asymptotically orthonormal polynomial family ⋮ Baryzentrische Formeln zur trigonometrischen Interpolation. II: Stabilität und Anwendung auf die Fourieranalyse bei ungleichabständigen Stützstellen ⋮ The Newton method for solving the Theodorsen integral equation ⋮ Numerical conformal mapping methods based on function conjugation ⋮ Rapid methods for the conformal mapping of multiply connected regions ⋮ A fast method for solving certain integral equations of the first kind with application to conformal mapping

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