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

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Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Levesley, J. and Hough, D. M. (1995) Evaluation of a boundary integral representation for the conformal mapping of the unit disk onto a simply-connected domain. Advances in Computational Mathematics, 3 (1-2). pp. 115-135. ISSN 1572-9044

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To link to this item DOI: 10.1007/BF03028363

Abstract/Summary

A representation of the conformal mapping g of the interior or exterior of the unit circle onto a simply-connected domain Ω as a boundary integral in terms ofƒ|∂Ω is obtained, whereƒ :=g -l. A product integration scheme for the approximation of the boundary integral is described and analysed. An ill-conditioning problem related to the domain geometry is discussed. Numerical examples confirm the conclusions of this discussion and support the analysis of the quadrature scheme.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:32677
Publisher:Springer
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