On the Approximate Conformal Mapping of the Unit Disk on a Simply Connected Domain

被引：15
|
作者：
Shirokova, E. A. [1 ]
机构：
[1] Kazan Volga Reg Fed Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia
来源：
RUSSIAN MATHEMATICS | 2014年 / 58卷 / 03期
关键词：
conformal mapping; integral equation; contracting mapping;
D O I：
10.3103/S1066369X14030050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present 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.
引用
收藏
页码：47 / 56
页数：10
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