Geodesic
Numerical solution of a problem about the parameters of a~conformal mapping
Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 3, pp. 32-39

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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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     title = {Numerical solution of a problem about the parameters of a~conformal mapping},
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Y. V. Gubkina; I. B. Davydkin; V. N. Monakhov. Numerical solution of a problem about the parameters of a~conformal mapping. Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 3, pp. 32-39. http://geodesic.mathdoc.fr/item/SJIM_2005_8_3_a4/