ABSTRACT

Some well-known numerical methods for approximating conformal mapping of doubly con-nected regions onto an annulus or the unit disk are presented. Numerical solutions are also confined to a limited class of regions where either one boundary is circular or axisymmetric. Most common methods use integral equations, iterations, polynomial approximations, and kernels. We will develop Symm’s integral equations and the related orthonormal polynomial method. A dipole formulation that leads to the method of reduction of connectivity will be presented.