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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| Format: | Article |
| Language: | English |
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The Rocky Mountain Mathematics Consortium, Rocky Mountain Mathematics Consortium
1998
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| Subjects: | |
| Online Access: | http://eprints.utm.my/9093/ http://eprints.utm.my/9093/1/AHMMURID1998_NumericalConformalMappingForExterior.pdf |
| _version_ | 1848891810547499008 |
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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 | UTeM Institutional Repository |
| collection | Online Access |
| 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 |
| first_indexed | 2025-11-15T21:03:53Z |
| format | Article |
| id | utm-9093 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T21:03:53Z |
| publishDate | 1998 |
| publisher | The Rocky Mountain Mathematics Consortium, Rocky Mountain Mathematics Consortium |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-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/ http://eprints.utm.my/9093/ http://eprints.utm.my/9093/ http://eprints.utm.my/9093/1/AHMMURID1998_NumericalConformalMappingForExterior.pdf |