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An integral equation method in conformal mapping

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Abstract

This paper describes an integral equation method for computing the conformal mapping of a given simply-connected domain onto the interior of the unit circle. Simple error estimates are available when the given domain possesses symmetry, and results are presented for a number of trial problems of this form.

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Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, National Physical Laboratory Teddington, Middlesex, Great Britain

    George T. Symm

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  1. George T. Symm
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Additional information

This work was supported by the National Science Foundation, under grant GP. 4213.

On leave from Mathematics Division, National Physical Laboratory, Teddington, Middlesex, England.

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Symm, G.T. An integral equation method in conformal mapping. Numer. Math. 9, 250–258 (1966). https://doi.org/10.1007/BF02162088

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  • DOI: https://doi.org/10.1007/BF02162088

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