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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 3, Pages 57–67 (Mi ivm8880)  
This article is cited in 17 scientific papers (total in 17 papers)

Approximate conformal mapping of a unit circle on simply connected domain

E. A. Shirokova

Chair of General Mathematics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (204 kB) Citations (17)
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Abstract: We suggest a method of constructing the analytic function realizing an approximate conformal mapping of the unit disk on an arbitrary simply connected domain with the given smooth parametrically defined boundary. The method is based on a new boundary parameterization. Solution of the problem is reduced to the Fredholm integral equation of the second kind. We present the examples of three ways to solve the integral equation.
Keywords: conformal mapping, integral equation, contracting mapping.
Received: 22.10.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 3, Pages 47–56
DOI: https://doi.org/10.3103/S1066369X14030050
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. A. Shirokova, “Approximate conformal mapping of a unit circle on simply connected domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 3, 57–67; Russian Math. (Iz. VUZ), 58:3 (2014), 47–56
Citation in format AMSBIB
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\by E.~A.~Shirokova
\paper Approximate conformal mapping of a~unit circle on simply connected domain
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 3
\pages 57--67
\mathnet{http://mi.mathnet.ru/ivm8880}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 3
\pages 47--56
\crossref{https://doi.org/10.3103/S1066369X14030050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899010236}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :104
    References:63
    First page:14
     
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