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...
| Main Authors: | , , |
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| Format: | Monograph |
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Jabatan Matematik, Universiti Teknologi Malaysia
1995
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| Subjects: | |
| Online Access: | http://eprints.utm.my/3867/ |
| Summary: | 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. |
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