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
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Official URL: http://dx.doi.org/10.1016/S0377-0427(97)00091-5
Abstract
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
| Item Type: | Article |
|---|---|
| Additional Information: | Also presented in 7th ICCAM 96 Congress |
| Uncontrolled Keywords: | Integral equation; Conformal mapping; Bergman kernel; Symmetric region |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 7541 |
| Deposited By: | Maznira Sylvia Azra Mansor |
| Deposited On: | 08 Jan 2009 04:16 |
| Last Modified: | 28 Dec 2010 10:12 |
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