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Numerical conformal mapping via the Szegö kernel

✍ Scribed by Norberto Kerzman; Manfred R. Trummer

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
837 KB
Volume
14
Category
Article
ISSN
0377-0427

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📜 SIMILAR VOLUMES

Numerical conformal mapping via the Berg
Numerical conformal mapping via the Bergman kernel
✍ M.R.M. Razali; M.Z. Nashed; A.H.M. Murid 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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
✍ M.R.M. Razali; M.Z. Nashed; A.H.M. Murid 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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