Numerical conformal mapping via the Bergman kernel using the generalized minimum residual method (Q1570074)

The authors use an integral equation of second type to compute the Bergman kernel for a simply connected domain \(G\), and thus obtain the boundary correspondence function \(\theta\) for the conformal map of \(G\) onto the unit disc \(\mathbb{D}\). The integral equation is solved approximately by Nyström's method. The results of four numerical experiments are presented.