Numerical conformal mapping via the Bergman kernel
A new method to compute the Riemann mapping function via the Bergman kernel is presented. The method expresses the Bergman kernel as the solution of a second-kind integral equation involving the Neumann kernel. For symmetric regions, the integral equation can be transformed into a new one that uses...
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Elsevier Science B.V.
1997
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| 在線閱讀: | http://eprints.utm.my/id/eprint/7541/ http://dx.doi.org/10.1016/S0377-0427(97)00091-5 |
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my.utm.75412010-12-28T10:12:40Z http://eprints.utm.my/id/eprint/7541/ Numerical conformal mapping via the Bergman kernel Razali, M. R. M. Nashed, M. Z. Murid, A. H. M. QA Mathematics A new method to compute the Riemann mapping function via the Bergman kernel is presented. The method expresses the Bergman kernel as the solution of a second-kind integral equation involving the Neumann kernel. For symmetric regions, the integral equation can be transformed into a new one that uses only a small part of the original boundary. Numerical implementations on some test regions are also presented Elsevier Science B.V. 1997-09 Article PeerReviewed Razali, M. R. M. and Nashed, M. Z. and Murid, A. H. M. (1997) Numerical conformal mapping via the Bergman kernel. Journal of Computational and Applied Mathematics, 82 (1-2). pp. 333-350. ISSN 0377-0427 http://dx.doi.org/10.1016/S0377-0427(97)00091-5 doi:10.1016/S0377-0427(97)00091-5 |
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Universiti Teknologi Malaysia |
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Malaysia |
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QA Mathematics |
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QA Mathematics Razali, M. R. M. Nashed, M. Z. Murid, A. H. M. Numerical conformal mapping via the Bergman kernel |
| description |
A new method to compute the Riemann mapping function via the Bergman kernel is presented. The method expresses the Bergman kernel as the solution of a second-kind integral equation involving the Neumann kernel. For symmetric regions, the integral equation can be transformed into a new one that uses only a small part of the original boundary. Numerical implementations on some test regions are also presented |
| format |
Article |
| author |
Razali, M. R. M. Nashed, M. Z. Murid, A. H. M. |
| author_facet |
Razali, M. R. M. Nashed, M. Z. Murid, A. H. M. |
| author_sort |
Razali, M. R. M. |
| title |
Numerical conformal mapping via the Bergman kernel |
| title_short |
Numerical conformal mapping via the Bergman kernel |
| title_full |
Numerical conformal mapping via the Bergman kernel |
| title_fullStr |
Numerical conformal mapping via the Bergman kernel |
| title_full_unstemmed |
Numerical conformal mapping via the Bergman kernel |
| title_sort |
numerical conformal mapping via the bergman kernel |
| publisher |
Elsevier Science B.V. |
| publishDate |
1997 |
| url |
http://eprints.utm.my/id/eprint/7541/ http://dx.doi.org/10.1016/S0377-0427(97)00091-5 |
| _version_ |
1643644794475380736 |
| score |
13.251813 |