A simplified Fornberg-like method for the conformal mapping of multiply connected regions-Comparisons and crowding
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Authors
Benchama, N.
DeLillo, Thomas K.
Hrycak, Tomasz
Wang, L.
Advisors
Issue Date
2007-12-01
Type
Article
Keywords
Crowding , Multiply connected regions , Numerical conformal mapping , Computational methods , Numerical methods , Conformal mapping
Citation
N. Benchama, T.K. DeLillo, T. Hrycak, L. Wang, A simplified Fornberg-like method for the conformal mapping of multiply connected regions—Comparisons and crowding, Journal of Computational and Applied Mathematics, Volume 209, Issue 1, 2007, Pages 1-21, ISSN 0377-0427, https://doi.org/10.1016/j.cam.2006.10.030.
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. © 2006 Elsevier B.V. All rights reserved. © 2008 Elsevier B.V., All rights reserved.
Table of Contents
Description
This is an open access article under the CC BY license.
Publisher
Elsevier B.V.
Journal
Journal of Computational and Applied Mathematics
Book Title
Series
PubMed ID
ISSN
03770427