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...
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| 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/id/eprint/3867/ http://ac.els-cdn.com/S0377042797000915/1-s2.0-S0377042797000915-main.pdf?_tid=4c15cf88-526a-11e7-abee-00000aacb362&acdnat=1497600395_7eab59892f99b3ff1ce3c74417272c51 |
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| 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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