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Biholomorphic mappings and the Bergman kernel off the diagonal

โœ Scribed by S. M. Webster

Publisher
Springer-Verlag
Year
1979
Tongue
English
Weight
783 KB
Volume
51
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES

Numerical conformal mapping via the Berg
Numerical conformal mapping via the Bergman kernel
โœ M.R.M. Razali; M.Z. Nashed; A.H.M. Murid ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 813 KB

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

Numerical conformal mapping via the Berg
Numerical conformal mapping via the Bergman kernel using the generalized minimum residual method
โœ M.R.M. Razali; M.Z. Nashed; A.H.M. Murid ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 414 KB

The Bergman kernel function is known to satisfy a certain boundary integral equation of the second kind. For boundaries that possess symmetrical qualities, the integral equation can be transformed into another integral equation that uses only a small part of the original boundary. This paper applies