Numerical conformal mapping for symmetric regions via the Bergman kernel

The Bergman kernel functions is known to satisfy a certain boundary integral equation of the second kind. For boundaries that possess some symmetry, it is shown how to transform the integral equation into another integral equation that uses only a small part of the original boundary. This provides a...

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Main Authors: Murid, Ali H.M., Razali, Mohd. R.M, Nashed, M.Z
Format: Monograph
Published: Jabatan Matematik, Universiti Teknologi Malaysia 1995
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Online Access:http://eprints.utm.my/3867/
http://ac.els-cdn.com/S0377042797000915/1-s2.0-S0377042797000915-main.pdf?_tid=4c15cf88-526a-11e7-abee-00000aacb362&acdnat=1497600395_7eab59892f99b3ff1ce3c74417272c51
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author Murid, Ali H.M.
Razali, Mohd. R.M
Nashed, M.Z
author_facet Murid, Ali H.M.
Razali, Mohd. R.M
Nashed, M.Z
author_sort Murid, Ali H.M.
building UTM Library
collection Institutional Repository
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
continent Asia
country Malaysia
description The Bergman kernel functions is known to satisfy a certain boundary integral equation of the second kind. For boundaries that possess some symmetry, it is shown how to transform the integral equation into another integral equation that uses only a small part of the original boundary. This provides an efficient computation of the Riemann mapping function for symmetric regions via the Bergman kernel.
format Monograph
id my.utm.eprints-3867
institution Universiti Teknologi Malaysia
publishDate 1995
publisher Jabatan Matematik, Universiti Teknologi Malaysia
record_format eprints
spelling my.utm.eprints-38672017-06-16T08:06:14Z http://eprints.utm.my/3867/ Numerical conformal mapping for symmetric regions via the Bergman kernel Murid, Ali H.M. Razali, Mohd. R.M Nashed, M.Z QA Mathematics The Bergman kernel functions is known to satisfy a certain boundary integral equation of the second kind. For boundaries that possess some symmetry, it is shown how to transform the integral equation into another integral equation that uses only a small part of the original boundary. This provides an efficient computation of the Riemann mapping function for symmetric regions via the Bergman kernel. Jabatan Matematik, Universiti Teknologi Malaysia 1995 Monograph NonPeerReviewed Murid, Ali H.M. and Razali, Mohd. R.M and Nashed, M.Z (1995) Numerical conformal mapping for symmetric regions via the Bergman kernel. Technical Report. Jabatan Matematik, Universiti Teknologi Malaysia. http://ac.els-cdn.com/S0377042797000915/1-s2.0-S0377042797000915-main.pdf?_tid=4c15cf88-526a-11e7-abee-00000aacb362&acdnat=1497600395_7eab59892f99b3ff1ce3c74417272c51
spellingShingle QA Mathematics
Murid, Ali H.M.
Razali, Mohd. R.M
Nashed, M.Z
Numerical conformal mapping for symmetric regions via the Bergman kernel
title Numerical conformal mapping for symmetric regions via the Bergman kernel
title_full Numerical conformal mapping for symmetric regions via the Bergman kernel
title_fullStr Numerical conformal mapping for symmetric regions via the Bergman kernel
title_full_unstemmed Numerical conformal mapping for symmetric regions via the Bergman kernel
title_short Numerical conformal mapping for symmetric regions via the Bergman kernel
title_sort numerical conformal mapping for symmetric regions via the bergman kernel
topic QA Mathematics
url http://eprints.utm.my/3867/
http://ac.els-cdn.com/S0377042797000915/1-s2.0-S0377042797000915-main.pdf?_tid=4c15cf88-526a-11e7-abee-00000aacb362&acdnat=1497600395_7eab59892f99b3ff1ce3c74417272c51
url_provider http://eprints.utm.my/