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

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 mapp...

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Main Authors: Murid, A. H. M., Nashed, M. Z., Razali, M. R. M.
Format: Article
Language:en
Published: The Rocky Mountain Mathematics Consortium, Rocky Mountain Mathematics Consortium 1998
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Online Access:http://eprints.utm.my/9093/1/AHMMURID1998_NumericalConformalMappingForExterior.pdf
http://eprints.utm.my/9093/
http://rmmc.eas.asu.edu/jie/jie.html
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author Murid, A. H. M.
Nashed, M. Z.
Razali, M. R. M.
author_facet Murid, A. H. M.
Nashed, M. Z.
Razali, M. R. M.
author_sort Murid, A. H. M.
building UTM Library
collection Institutional Repository
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
continent Asia
country Malaysia
description 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
format Article
id my.utm.eprints-9093
institution Universiti Teknologi Malaysia
language en
publishDate 1998
publisher The Rocky Mountain Mathematics Consortium, Rocky Mountain Mathematics Consortium
record_format eprints
spelling my.utm.eprints-90932010-10-14T04:10:54Z http://eprints.utm.my/9093/ Numerical conformal mapping for exterior regions via the kerzman-stein kernel Murid, A. H. M. Nashed, M. Z. Razali, M. R. M. QA Mathematics 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 The Rocky Mountain Mathematics Consortium, Rocky Mountain Mathematics Consortium 1998-03-15 Article PeerReviewed application/pdf en http://eprints.utm.my/9093/1/AHMMURID1998_NumericalConformalMappingForExterior.pdf 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 http://rmmc.eas.asu.edu/jie/jie.html doi:10.1216/jiea/1181074250
spellingShingle QA Mathematics
Murid, A. H. M.
Nashed, M. Z.
Razali, M. R. M.
Numerical conformal mapping for exterior regions via the kerzman-stein kernel
title Numerical conformal mapping for exterior regions via the kerzman-stein kernel
title_full Numerical conformal mapping for exterior regions via the kerzman-stein kernel
title_fullStr Numerical conformal mapping for exterior regions via the kerzman-stein kernel
title_full_unstemmed Numerical conformal mapping for exterior regions via the kerzman-stein kernel
title_short Numerical conformal mapping for exterior regions via the kerzman-stein kernel
title_sort numerical conformal mapping for exterior regions via the kerzman-stein kernel
topic QA Mathematics
url http://eprints.utm.my/9093/1/AHMMURID1998_NumericalConformalMappingForExterior.pdf
http://eprints.utm.my/9093/
http://rmmc.eas.asu.edu/jie/jie.html
url_provider http://eprints.utm.my/