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Sibirskii Zhurnal Industrial'noi Matematiki
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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 3, Pages 32–39 (Mi sjim287)  
Numerical solution of a problem about the parameters of a conformal mapping

Y. V. Gubkinaab, I. B. Davydkin, V. N. Monakhov

a M. A. Lavrent'ev Institute of Hydrodynamics
b Gorno-Altaisk State University
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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.
Received: 22.11.2004
Revised: 02.08.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 2, Pages 193–200
DOI: https://doi.org/10.1134/S199047890702010X
Bibliographic databases:
UDC: 517.958:531.32
Language: Russian
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
Citation in format AMSBIB
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\by Y.~V.~Gubkina, I.~B.~Davydkin, V.~N.~Monakhov
\paper Numerical solution of a problem about the parameters of a~conformal mapping
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 3
\pages 32--39
\mathnet{http://mi.mathnet.ru/sjim287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2220174}
\zmath{https://zbmath.org/?q=an:1101.30012}
\elib{https://elibrary.ru/item.asp?id=13547163}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 2
\pages 193--200
\crossref{https://doi.org/10.1134/S199047890702010X}
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