Conformal mapping, a central concept in complex analysis, involves the transformation of one complex domain onto another while preserving local angles and shapes. This powerful tool has long been ...

Previous algorithms for mapping from the problem domain to the disk require O (n 2 log n) operations. It is shown how to treat symmetric regions. The algorithm is tested on several examples. The ...

An advantage of the conformal mapping approach is that it leads to theorems guaranteeing geometric rates of convergence for analytic integrands. For example, one of the formulas presented is proved to ...