多重連結領域数値等角写像のPade近似を用いた電荷点配置法(応用)

抄録

In this paper, we present a charge points-location method for numerical conformal mappings of a bounded doubly-connected domain and an unbounded multiply-connected domain, using Pade approximation. This method is based on the method for numerical conformal mapping of simply-connected domains using Pade approximation. In this method, we reduce calculations of the charge points by Pade approximation to some generalized eigenvalue problems. Using the charge points obtained by solving the generalized eigenvalue problems, we compute the conformal mappings by applying the charge simulation method. Some numerical examples illustrate the efficiency of our method.