Algorithm 785

Algorithm 785: A software package for computing Schwarz-Christoffel conformal transformation for doubly connected polygonal regions A software package implementing Schwarz-Christoffel conformal transformation (or mapping) of doubly connected polygonal regions is fully described in this article from mathematical, numerical, and practical perspectives. The package solves the so-called accessory parameter problem associated with the mapping function as well as evaluates forward and inverse maps. The robustness of the package is reflected by the flexibility in choosing the accuracy of the parameters to be computed, the speed of computation, the ability of mapping “difficult” regions (to be specified in Section 2), and being user friendly. Several examples are presented to demonstrate the capabilities of the package. (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 13 articles , 1 standard article )

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  1. Nasyrov, S.R.: Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames (2015)
  2. Chapko, Roman; Johansson, B.Tomas: On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach (2012)
  3. Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C.: Conformal mappings to multiply connected polycircular arc domains (2011)
  4. Delillo, Thomas K.; Kropf, Everett H.: Numerical computation of the Schwarz-Christoffel transformation for multiply connected domains (2011)
  5. Bishop, Christopher J.: Conformal mapping in linear time (2010)
  6. Papamichael, Nicolas; Stylianopoulos, Nikos: Numerical conformal mapping. Domain decomposition and the mapping of quadrilaterals (2010)
  7. Costamagna, E.; di Barba, P.; Savini, A.: Shape design of a MEMS device by Schwarz-Christoffel numerical inversion and Pareto optimality (2008)
  8. Crowdy, D.G.; Fokas, A.S.: Conformal mappings to a doubly connected polycircular arc domain (2007)
  9. DeLillo, Thomas K.: Schwarz-Christoffel mapping of bounded, multiply connected domains (2006)
  10. Driscoll, Tobin A.: Algorithm 843: Improvements to the Schwarz-Christoffel toolbox for MATLAB (2005)
  11. Kühnau, R.: The conformal module of quadrilaterals and of rings (2005)
  12. DeLillo, T.K.; Elcrat, A.R.; Pfaltzgraff, J.A.: Schwarz-Christoffel mapping of multiply connected domains (2004)
  13. Hu, Chenglie: Algorithm 785: A software package for computing Schwarz-Christoffel conformal transformation for doubly connected polygonal regions (1998)