Numerical solution of a problem about the parameters of a conformal mapping |
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Authors: | E. V. Gubkina I. B. Davydkin V. N. Monakhov |
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Affiliation: | (1) Gorno-Altaisk State University, ul. Lenkin 1, Gorno-Altaisk, Altai Republik, 649000, Russia;(2) Lavrent’ev Institute of Hydrodynamics, pr. Akad. Koptyuga 15, Novosibirsk, 630090, Russia |
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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. |
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