Numerical conformal mapping for exterior regions via the Kerzman-Stein kernel (Q1286350)

The authors derive a linear integral equation of second kind for \(\sqrt{f'}\), where \(f\) maps the exterior of a Jordan curve \(\Gamma\) onto \(\{w: | w|>1\}\), normalized at \(\infty\). The kernel of this integral equation is that of the Kerzman-Stein integral equation which was used earlier for the interior mapping. \(\Gamma\) is assumed to be analytic, so that the numerical experiments show good results.