Abstract:
A converging cyclic iteration method is applied for finding the parameters of a conformal mapping of the upper half-plane onto the domain bounded by a given polygon. The numerical realization of the method is presented with a proof of convergence and an estimate of the convergence speed. A few examples of computer calculations is given.
Citation:
Y. V. Gubkina, I. B. Davydkin, V. N. Monakhov, “Numerical solution of a problem about the parameters of a conformal mapping”, Sib. Zh. Ind. Mat., 8:3 (2005), 32–39; J. Appl. Industr. Math., 1:2 (2007), 193–200