ALGORITHM-756 - A MATLAB TOOLBOX FOR SCHWARZ-CHRISTOFFEL MAPPING

The Schwarz-Christoffel transformation and its variations yield formul as for conformal maps from standard regions to the interiors or exteri ors of possibly unbounded polygons. Computations involving these maps generally require a computer; and although the numerical aspects of th ese transformations have been studied, there are few software implemen tations that are widely available and suited for general use. The Schw arz-Christoffel Toolbox for MATLAB is a new implementation of Schwarz- Christoffel formulas for maps from the disk, half-plane, strip, and re ctangle domains to polygon interiors, and from the disk to polygon ext eriors. The toolbox, written entirely in the MATLAB script language, e xploits the high-level functions, interactive environment, visualizati on; tools, and graphical user interface elements supplied by current v ersions of MATLAB, and is suitable for use both as a standalone tool a nd as a library for applications written in MATLAB, Fortran, or C. Sev eral examples and simple applications are presented to demonstrate the toolbox's capabilities.