# Convergence of the Zipper algorithm for conformal mapping

@article{Marshall2006ConvergenceOT, title={Convergence of the Zipper algorithm for conformal mapping}, author={Donald E. Marshall and Steffen Rohde}, journal={arXiv: Complex Variables}, year={2006} }

In the early 1980's an elementary algorithm for computing conformal maps was discovered by R. K\"uhnau and the first author. The algorithm is fast and accurate, but convergence was not known. Given points z_0,...,z_n in the plane, the algorithm computes an explicit conformal map of the unit disk onto a region bounded by a Jordan curve \gamma with z_0,...,z_n \in \gamma. We prove convergence for Jordan regions in the sense of uniformly close boundaries, and give corresponding uniform estimates…

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