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 205 articles , 1 standard article )

Showing results 1 to 20 of 205.
Sorted by year (citations)

1 2 3 ... 9 10 11 next

  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. Hakula, Harri; Nasyrov, Semen; Vuorinen, Matti: Conformal moduli of symmetric circular quadrilaterals with cusps (2021)
  4. Hao, Yue; Simoncini, Valeria: Matrix equation solving of PDEs in polygonal domains using conformal mappings (2021)
  5. Ignacio, Labarca; Ralf, Hiptmair: Acoustic scattering problems with convolution quadrature and the method of fundamental solutions (2021)
  6. Kolesnikov, I. A.: A one-parametric method for determining parameters in the Schwarz-Christoffel integral (2021)
  7. Nasser, Mohamed M. S.; Vuorinen, Matti: Computation of conformal invariants (2021)
  8. Barth, Dominik; König, Joachim; Wenz, Andreas: An approach for computing families of multi-branch-point covers and applications for symplectic Galois groups (2020)
  9. Boudabra, Maher; Markowsky, Greg: Maximizing the (p)th moment of the exit time of planar Brownian motion from a given domain (2020)
  10. Cui, Hanwen; Ren, Weiqing: Interface profile near the contact line in electro-wetting on dielectric (2020)
  11. Doan, Tung; Le-Quang, Hung; To, Quy-Dong: Effective elastic stiffness of 2D materials containing nanovoids of arbitrary shape (2020)
  12. Fang, Licheng; Damanik, David; Guo, Shuzheng: Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients (2020)
  13. Han, Yucen; Majumdar, Apala; Zhang, Lei: A reduced study for nematic equilibria on two-dimensional polygons (2020)
  14. Kolesnikov, I. A.; Sharofov, A. Kh.: A one-parametric family of conformal mappings from the half-plane onto a family of polygons (2020)
  15. Leyvraz, F.: Qualitative properties of systems of two complex homogeneous ODE’s: a connection to polygonal billiards (2020)
  16. Mcdonald, Robb: Geodesic Loewner paths with varying boundary conditions (2020)
  17. Nasser, Mohamed M. S.; Vuorinen, Matti: Conformal invariants in simply connected domains (2020)
  18. Trefethen, Lloyd N.: Numerical conformal mapping with rational functions (2020)
  19. Badreddine, Mohamed; DeLillo, Thomas K.; Sahraei, Saman: A comparison of some numerical conformal mapping methods for simply and multiply connected domains (2019)
  20. Bauer, Ulrich; Lauf, Wolfgang: Conformal mapping onto a doubly connected circular arc polygonal domain (2019)

1 2 3 ... 9 10 11 next

Further publications can be found at: