In this paper we consider the problem of computing the Riemann Map of the plane unit disk D onto the Jordan domain bounded by the simple closed curve ( containing the point w in the interior, and normalized by conditions To solve such problem, we consider a suitable functional equation involving and we show that one can obtain by applying a version of the Newton-Kantorovich method. © 2014, Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München. All rights reserved.
A newton-kantorovich method for a functional equation relative to the conformal representation
LANZA DE CRISTOFORIS, MASSIMO;
2002
Abstract
In this paper we consider the problem of computing the Riemann Map of the plane unit disk D onto the Jordan domain bounded by the simple closed curve ( containing the point w in the interior, and normalized by conditions To solve such problem, we consider a suitable functional equation involving and we show that one can obtain by applying a version of the Newton-Kantorovich method. © 2014, Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München. All rights reserved.
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