International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 7, Pages 461-467

Uniform convergence of numerical conformal mappings of interior domains in the charge simulation method

Tetsuo Inoue

Department of Applied Mathematics, Kobe Mercantile Marine College, Higashinada, Fukae-Minami 5-1-1, Kobe 658-0022, Japan

Received 20 November 1998

Copyright © 2000 Tetsuo Inoue. 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 uniform convergence of the approximations by new numerical schemes in the charge simulation method, which have been recently proposed by Inoue (1997), will be studied. The exponential decrease of the errors will also be shown.