Conference proceedings article
Schwarz-Christoffel mappings: Symbolic computation of mapping functions for symmetric polygonal domains

Publication Details
Koepf, W.
Tutschke, W.; Mshimba, A. S.
World Scientific Publishing Co.,
Publication year:
Pages range:
Book title:
Proceedings of the Workshop on Functional-Analytic Methods in Complex Analysis and Applications to Partial Differential Equations, Trieste, Italy, January 1993

The Riemann mapping theorem tells that any two simply-connected domains withmore than one boundary point can be mapped conformally upon one another.We shall investigate conformal mappings of the unit disk $\D$ onto a general polygon. Those mappings are called Schwarz-Christoffel mappings, and they are used in many applications as well as in the theory of conformal mapping itself.In this lecture we use Macsyma, a symbolic algebra system, tocalculate the mapping functions for symmetric polygonal domains.


Last updated on 2019-25-07 at 14:21