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Numerical conformal mapping for exterior regions via the kerzman-stein kernel

Murid, A. H. M. and Nashed, M. Z. and Razali, M. R. M. (1998) Numerical conformal mapping for exterior regions via the kerzman-stein kernel. Journal of Integral Equations And Applications, 10 (4). pp. 517-532. ISSN 0897-3962

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Abstract

A simple numerical method is described for computing a conformal map from a domain exterior to a smooth Jordan curve in the complex plane onto the exterior of the unit disk. The numerical method is based on a boundary integral equation similar to the Kerzman-Stein integral equation for interior mappings. Typical examples show that numerical results of high accuracy can be obtained provided that the boundaries are smooth

Item Type:Article
Uncontrolled Keywords:Conformal mapping, exterior mapping function, integral equation, Kerzman-Stein kernel, Nystrom method
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:9093
Deposited By: Noor Aklima Harun
Deposited On:03 Jul 2009 06:58
Last Modified:14 Oct 2010 04:10

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