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.
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Abstract
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.
| Item Type: | Monograph (Technical Report) |
|---|---|
| Uncontrolled Keywords: | Boundary integral equation, conformal mapping, Bergman kernel, Neumann kernel, Nystrom method. |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 3867 |
| Deposited By: | Assoc. Prof. Dr. Ali Hassan Mohamed Murid |
| Deposited On: | 29 Jun 2007 02:57 |
| Last Modified: | 16 Jun 2017 08:06 |
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