An integral equation method in conformal mapping

This paper describes an integral equation method for computing the conformal mapping of a given simply-connected domain onto the interior of the unit circle. Simple error estimates are available when the given domain possesses symmetry, and results are presented for a number of trial problems of this form.This work was supported by the National Science Foundation, under grant GP. 4213.On leave from Mathematics Division, National Physical Laboratory, Teddington, Middlesex, England.