Computing conformal maps onto circular domains
Complex Variables
2013-07-25 v1
Abstract
We show that, given a non-degenerate, finitely connected domain , its boundary, and the number of its boundary components, it is possible to compute a conformal mapping of onto a circular domain \emph{without} prior knowledge of the circular domain. We do so by computing a suitable bound on the error in the Koebe construction (but, again, without knowing the circular domain in advance). As a scientifically sound model of computation with continuous data, we use Type-Two Effectivity.
Cite
@article{arxiv.1307.6535,
title = {Computing conformal maps onto circular domains},
author = {Valentin V. Andreev and Dale Daniel and Timothy H. McNicholl},
journal= {arXiv preprint arXiv:1307.6535},
year = {2013}
}