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International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 289-298

Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain

Department of Applied Mathematics, Kobe Mercantile Marine College Higashinada, Fukae-Minami 5-1-1, Kobe 658, Japan

Received 16 August 1996; Revised 17 March 1997

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The charge simulation method has been applied to solve a lot of problems in electrical engineering. However, the principle of the method is not known enough even now. This paper is devoted to giving the theoretical and mathematical base for the charge simulation method of numerical conformal mappings in ring domains. Therefore for example, the uniform, convergence of approximations, the theoretical distribution of charge points, and the charges will be mathematically discussed. An example is shown to help understanding of theoretical considerations.