ABSTRACT
The constructive methods described in this book for studying the Szego˝ kernel function, the Dirichlet problem, and conformal mapping give rise to reasonable schemes for numerically computing such objects. In this chapter, we describe the Kerzman-Stein integral equation and how it can be used in a simply connected domain to compute the Szego˝ kernel, the Riemann mapping function, and solutions to the Dirichlet problem.
