Evaluation of a boundary integral representation for the conformal mapping of the unit disk onto a simply-connected domain

DOI10.1007/BF03028363zbMath0834.30008OpenAlexW1992768729MaRDI QIDQ1899282

D. M. Hough, Jeremy Levesley, Simon N. Chandler-Wilde

Publication date: 9 October 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03028363

zbMATH Keywords

conformal mappingnumerical experimentsproduct integrationcorner singularitiesSymm's integral equationboundary integralquadrature schemesweakly singular functions

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30)

Related Items (2)

Dieter Gaier's contributions to numerical conformal mapping ⋮ On capacity computation for symmetric polygonal condensers

Cites Work

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• Development of the mapping function at an analytic corner
• Jacobi polynomial solutions of first kind integral equations for numerical conformal mapping
• Numerical conformal mapping methods based on function conjugation
• Stationary and almost stationary iterative (k,l)-step methods for linear and nonlinear systems of equations
• Numerical conformal mapping via Chebyshev weighted solutions of Symm's integral equation
• An integral equation method in conformal mapping
• On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons
• Exact Formulae for Certain Integrals Arising in Potential Theory
• Product Integration for Weakly Singular Integral Equations
• The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
• Numerical Experiments on Solving Theodorsen’s Integral Equation for Conformal Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods

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