Schwarz-Christoffel

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. Stephenson, Kenneth: Introduction to circle packing. The theory of discrete analytic functions (2005)
  2. Artiles, William; Nachbin, André: Asymptotic nonlinear wave modeling through the Dirichlet-to-Neumann operator (2004)
  3. Bonciani, Damiano; Vlacci, Fabio: Some remarks on Schwarz-Christoffel transformations from the unit disk to a regular polygon and their numerical computation (2004)
  4. DeLillo, T. K.; Elcrat, A. R.; Pfaltzgraff, J. A.: Schwarz-Christoffel mapping of multiply connected domains (2004)
  5. Kleine Berkenbusch, Marko; Claus, Isabelle; Dunn, Catherine; Kadanoff, Leo P.; Nicewicz, Maciej; Venkataramani, Shankar C.: Discrete charges on a two-dimensional conductor (2004)
  6. Knowles, Ian W.; McCarthy, Maeve L.: Isospectral membranes: a connection between shape and density (2004)
  7. Tilleman, Michael M.: Analysis of electrostatic comb-driven actuators in linear and nonlinear regions (2004)
  8. Tsukrov, Igor; Novak, Jindrich: Effective elastic properties of solids with two-dimensional inclusions of irregular shapes (2004)
  9. Banjai, Lehel; Trefethen, L. N.: A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides (2003)
  10. Collins, Charles R.; Driscoll, Tobin A.; Stephenson, Kenneth: Curvature flow in conformal mapping (2003)
  11. Díaz, José; Führer, Claus: A wavelet semidiscretisation of elastic multibody systems (2003)
  12. Finn, M. D.; Cox, S. M.; Byrne, H. M.: Topological chaos in inviscid and viscous mixers (2003)
  13. Nachbin, André: A terrain-following Boussinesq system (2003)
  14. Novati, P.: Solving linear initial value problems by Faber polynomials. (2003)
  15. Novati, Paolo: A polynomial method based on Fejér points for the computation of functions of unsymmetric matrices (2003)
  16. Papamichael, Nicolas: Dieter Gaier’s contributions to numerical conformal mapping (2003)
  17. Driscoll, Tobin A.; Trefethen, Lloyd N.: Schwarz-Christoffel mapping (2002)
  18. Tsukrov, Igor; Novak, Jindrich: Effective elastic properties of solids with defects of irregular shapes. (2002)
  19. Banjai, Lehel; Trefethen, Lloyd N.: Numerical solution of the omitted area problem of univalent function theory (2001)
  20. Bunck, Benjamin; Elcrat, Alan; Hrycak, Tomasz: On detecting emerging surface cracks from boundary measurements (2001)

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