4.5 Article

Algorithm 843: Improvements to the Schwarz-Christoffel toolbox for MATLAB

Journal

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE
Volume 31, Issue 2, Pages 239-251

Publisher

ASSOC COMPUTING MACHINERY
DOI: 10.1145/1067967.1067971

Keywords

algorithms; MATLAB; conformal mapping; Laplace's equation; polygons; Schwarz-Christoffel

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The Schwarz-Christoffel Toolbox (SC Toolbox) for MATLAB, first released in 1994, made possible the interactive creation and visualization of conformal maps to regions bounded by polygons. The most recent release supports new features, including an object-oriented command-line interface model, new algorithms for multiply elongated and multiple-sheeted regions, and a module for solving Laplace's equation on a polygon with Dirichlet and homogeneous Neumann conditions. Brief examples are given to demonstrate the new capabilities.

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