This paper presents and studies Fredholm integral equations associated with the linear
Riemann–Hilbert problems on multiply connected regions with smooth boundary curves …

A fast method for solving boundary integral equations with the generalized Neumann kernel
and the adjoint generalized Neumann kernel is presented. The method is based on …

This paper presents two new Fredholm integral equations associated to the interior and the
exterior Riemann–Hilbert problems in simply connected regions with smooth boundaries …

A boundary integral method is presented for constructing approximations to the mapping
functions of bounded multiply connected regions to the standard canonical slits domains …

This paper presents a fast boundary integral equation method for approximating the
conformal mapping from bounded and unbounded multiply connected regions of …

This paper presents a new numerical implementation of Koebe's iterative method for
computing the circular map of bounded and unbounded multiply connected regions of …

This article presents a boundary integral method for the Riemann–Hilbert problems in simply
connected regions with piecewise smooth boundaries. The method is based on two …

We present a fast and accurate numerical method for constructing incompressible, inviscid
and irrotational flows in two-dimensional coastal domains, which are unbounded multiply …

We consider Mityuk's function and radius which have been proposed in [15] as
generalizations of the reduced modulus and conformal radius to the cases of multiply …

arXiv:1310.2260v1 [math.CV] 8 Oct 2013 Page 1 arXiv:1310.2260v1 [math.CV] 8 Oct 2013 A
boundary integral equation with the generalized Neumann kernel for the Ahlfors map Mohamed …