International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 2, Pages 129-137
doi:10.1155/S0161171200002428
Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method
Tetsuo Inoue1
, Hideo Kuhara2
, Kaname Amano3
and Dai Okano3
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
Abstract
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."