A Local to Global Principle for the Complexity of Riemann Mappings (Extended Abstract)

Robert Rettinger

doi:10.4204/eptcs.24.16

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arXiv · 1006.0402

A Local to Global Principle for the Complexity of Riemann Mappings (Extended Abstract)

Robert Rettinger

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Abstract

We show that the computational complexity of Riemann mappings can be bounded by the complexity needed to compute conformal mappings locally at boundary points. As a consequence we get first formally proven upper bounds for Schwarz-Christoffel mappings and, more generally, Riemann mappings of domains with piecewise analytic boundaries.

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Robert Rettinger. 2010-06-02. A Local to Global Principle for the Complexity of Riemann Mappings (Extended Abstract). https://doi.org/10.4204/eptcs.24.16

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