International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 2, Pages 129-137
Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method
1Department of Information Systems Engineering, Kobe Mercantile Marine College, Kobe, Japan
2Yatsusiro National College of Technology, Kumamoto, Japan
3Department of Computer Science, Faculty of Engineering, Ehime University, Ehime, Japan
Received 8 December 1997
Copyright © 2000 Tetsuo Inoue et al. 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.
A potentially theoretical scheme in the fundamental solutions
method, different from the conventional one, is proposed for
numerical conformal mappings of unbounded multiply connected
domains. The scheme is introduced from an algorithm on numerical
Dirichlet problem, based on the asymptotic theorem on extremal
weighted polynomials. The scheme introduced in this paper has the
characteristic called invariant and dual.