Volume 26 • Number 1 • 2003   • A Brief Overview of Fornberg-like Methods for Conformal Mapping of Simply and Multiply Connected Regions Noureddine Benchama and Thomas K. DeLillo Abstract. We give simplified derivations of Fornberg-like methods for conformal mapping of simply and multiply connected regions. The computational domains are circular domains and the derivations are based on Fourier series leading to conditions for analytic extension of boundary values to the computational domain. Linearization of these conditions with respect to the boundary correspondences and conformal moduli lead to Newton methods for approximating the mapping function. The linear systems can be solved by the conjugate gradient method. Full text: PDF