Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping. The Schwarz-Christoffel transformation and its variations yield formulas for conformal maps from standard regions to the interiors or exteriors of possibly unbounded polygons. Computations involving these maps generally require a computer, and although the numerical aspects of these transformations have been studied, there are few software implementations that are widely available and suited for general use. The Schwarz-Christoffel Toolbox for MATLAB is a new implementation of Schwarz-Christoffel formulas for maps from the disk, half-plane, strip, and rectangle domains to polygon interiors, and from the disk to polygon exteriors. The toolbox, written entirely in the MATLAB script language, exploits the high-level functions, interactive environment, visualization tools, and graphical user interface elements supplied by current versions of MATLAB, and is suitable for use both as a standalone tool and as a library for applications written in MATLAB, Fortran, or C. Several examples and simple applications are presented to demonstrate the toolbox’s capabilities.

References in zbMATH (referenced in 235 articles )

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  1. Delillo, Thomas K.; Elcrat, Alan R.; Kropf, Everett H.: Calculation of resistances for multiply connected domains using Schwarz-Christoffel transformations (2011)
  2. Delillo, Thomas K.; Kropf, Everett H.: Numerical computation of the Schwarz-Christoffel transformation for multiply connected domains (2011)
  3. Fornberg, Bengt; Flyer, Natasha: A numerical implementation of Fokas boundary integral approach: Laplace’s equation on a polygonal domain (2011)
  4. Fukushima, Toshio: Precise and fast computation of a general incomplete elliptic integral of second kind by half and double argument transformations (2011)
  5. Gu, Xianfeng David; Zeng, Wei; Luo, Feng; Yau, Shing-Tung: Numerical computation of surface conformal mappings (2011)
  6. Hakula, Harri; Rasila, Antti; Vuorinen, Matti: On moduli of rings and quadrilaterals: algorithms and experiments (2011)
  7. Kacimov, Anvar R.; Klammler, Harald; Il’yinskii, Nikolay; Hatfield, Kirk: Constructal design of permeable reactive barriers: groundwater-hydraulics criteria (2011)
  8. Kravchenko, Vladislav V.; Porter, R. Michael: Conformal mapping of right circular quadrilaterals (2011)
  9. Markowsky, Greg T.: On the expected exit time of planar Brownian motion from simply connected domains (2011)
  10. Mizumoto, Hisao; Hara, Heihachiro: Finite element method for parallel slit mappings (2011)
  11. Moale, Ionela; Yuditskii, Peter: On complex (non-analytic) Chebyshev polynomials in (\mathbbC^2) (2011)
  12. Pacheco Calixto, Wesley; Gonçalves Marra, Enes; da Cunha Brito, Leonardo; Pinheiro de Alvarenga, Bernardo: A new methodology to calculate Carter factor using genetic algorithms (2011)
  13. Wolf, Elke: Weighted composition operators on weighted Bergman spaces of infinite order with the closed range property (2011)
  14. Antipov, Y. A.; Silvestrov, V. V.: Hilbert problem for a multiply connected circular domain and the analysis of the Hall effect in a plate (2010)
  15. Bishop, Christopher J.: Optimal angle bounds for quadrilateral meshes (2010)
  16. Bishop, Christopher J.: Bounds for the CRDT conformal mapping algorithm (2010)
  17. Bishop, Christopher J.: Conformal mapping in linear time (2010)
  18. Borcea, L.; Druskin, V.; Mamonov, A. V.: Circular resistor networks for electrical impedance tomography with partial boundary measurements (2010)
  19. Calixto, Wesley Pacheco; Alvarenga, Bernardo; da Mota, Jesus Carlos; da Cunha Brito, Leonardo; Wu, Marcel; Alves, Aylton José; Neto, Luciano Martins; Antunes, Carlos F. R. Lemos: Electromagnetic problems solving by conformal mapping: a mathematical operator for optimization (2010)
  20. Crowdy, Darren: The Schottky-Klein prime function on the Schottky double of planar domains (2010)

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