A simplified Fornberg-like method for the conformal mapping of multiply connected regions-Comparisons and crowding

Authors:
N. Benchama;T. K. DeLillo;T. Hrycak;L. Wang
Affiliations:
Department of Mathematics, Minnesota State Community and Technical College, 1900 28th Ave. South, Moorhead, MN 56560, USA;Department of Mathematics and Statistics, Wichita State University, Wichita, KS 67260-0033, USA;Department of Mathematics, University of Vienna, Vienna, Austria;Department of Mathematics and Computer Science, Fort Hays State University, 600 Park Street, Hays, KS 67601, USA
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 12
Cited 3

Applied and computational complex analysis. Vol. 3: discrete Fourier analysis—Cauchy integrals—construction of conformal maps---univalent functions

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Abstract

We present a new Fornberg-like method for the numerical conformal mapping of multiply connected regions exterior to circles to multiply connected regions exterior to smooth curves. The method is based on new, symmetric conditions for analytic extension of functions given on circular boundaries. We also briefly discuss a similar method due to Wegmann and compare some computations with both methods. Some examples of regions which exhibit crowding of the circles are also presented.