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Numerical conformal mapping for symmetric regions via the Bergman kernel

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:29 Jun 2007 02:57

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