Journal Title
Title of Journal: Comput Methods Funct Theory
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Abbravation: Computational Methods and Function Theory
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Publisher
Springer-Verlag
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Authors: Elias Wegert David Bauer
Publish Date: 2009/06/01
Volume: 9, Issue: 2, Pages: 609-632
Abstract
We propose a discrete counterpart of nonlinear boundary value problems for holomorphic functions RiemannHilbert problems in the framework of circle packing For packings with simple combinatorial structure and circular target curves appropriate solvability conditions are given and the set of all solutions is described We compare the discrete and the continuous setting and discuss several discretization effects In the last section we indicate promising directions for further research and report on the results of some test calculations which show that solutions of the circle packing problem approximate the classical solutions surprisingly well
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