SC Toolbox

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

References in zbMATH (referenced in 199 articles , 1 standard article )

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  1. Barth, Dominik; Wenz, Andreas: Computation of Belyi maps with prescribed ramification and applications in Galois theory (2021)
  2. Dautova, D.; Nasyrov, S.; Vuorinen, M.: Conformal modulus of the exterior of two rectilinear slits (2021)
  3. Nasser, Mohamed M. S.; Vuorinen, Matti: Computation of conformal invariants (2021)
  4. Barth, Dominik; König, Joachim; Wenz, Andreas: An approach for computing families of multi-branch-point covers and applications for symplectic Galois groups (2020)
  5. Boudabra, Maher; Markowsky, Greg: Maximizing the (p)th moment of the exit time of planar Brownian motion from a given domain (2020)
  6. Cui, Hanwen; Ren, Weiqing: Interface profile near the contact line in electro-wetting on dielectric (2020)
  7. Doan, Tung; Le-Quang, Hung; To, Quy-Dong: Effective elastic stiffness of 2D materials containing nanovoids of arbitrary shape (2020)
  8. Fang, Licheng; Damanik, David; Guo, Shuzheng: Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients (2020)
  9. Han, Yucen; Majumdar, Apala; Zhang, Lei: A reduced study for nematic equilibria on two-dimensional polygons (2020)
  10. Kolesnikov, I. A.; Sharofov, A. Kh.: A one-parametric family of conformal mappings from the half-plane onto a family of polygons (2020)
  11. Leyvraz, F.: Qualitative properties of systems of two complex homogeneous ODE’s: a connection to polygonal billiards (2020)
  12. Nasser, Mohamed M. S.; Vuorinen, Matti: Conformal invariants in simply connected domains (2020)
  13. Trefethen, Lloyd N.: Numerical conformal mapping with rational functions (2020)
  14. Badreddine, Mohamed; DeLillo, Thomas K.; Sahraei, Saman: A comparison of some numerical conformal mapping methods for simply and multiply connected domains (2019)
  15. Bauer, Ulrich; Lauf, Wolfgang: Conformal mapping onto a doubly connected circular arc polygonal domain (2019)
  16. Betcke, Timo; Haberl, Alexander; Praetorius, Dirk: Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra (2019)
  17. Bezrodnykh, Sergei; Bogatyrëv, Andrei; Goreinov, Sergei; Grigor’ev, Oleg; Hakula, Harri; Vuorinen, Matti: On capacity computation for symmetric polygonal condensers (2019)
  18. Borkowski, M.; Kuras, R.: Application of conformal mappings and the numerical analysis of conditioning of the matrices in Trefftz method for some boundary value problems (2019)
  19. De Marchi, S.; Martínez, A.; Perracchione, E.: Fast and stable rational RBF-based partition of unity interpolation (2019)
  20. Gopal, Abinand; Trefethen, Lloyd N.: Representation of conformal maps by rational functions (2019)

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