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: http://dl.acm.org/)


References in zbMATH (referenced in 140 articles , 1 standard article )

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  1. Adcock, Ben; Martín-Vaquero, Jesús; Richardson, Mark: Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities (2017)
  2. Goswami, Mayank; Gu, Xianfeng; Pingali, Vamsi P.; Telang, Gaurish: Computing Teichmüller maps between polygons (2017)
  3. Liu, Xiao-Yan; Chen, C.S.; Karageorghis, Andreas: Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method (2017)
  4. Nasyrov, S.: Conformal mappings of stretched polyominoes onto half-plane (2017)
  5. Bezrodnykh, S.I.: Analytic continuation formulas and Jacobi-type relations for Lauricella function (2016)
  6. Bezrodnykh, S.I.: Jacobi-type differential relations for the Lauricella function $F_D^(N)$ (2016)
  7. Bezrodnykh, S.I.: On the analytic continuation of the Lauricella function $F_D^(N)$ (2016)
  8. Brown, Philip R.; Porter, R.Michael: Numerical conformal mapping to one-tooth gear-shaped domains and applications (2016)
  9. Cathala, Mathieu: Asymptotic shallow water models with non smooth topographies (2016)
  10. Peck, D.; Rogosin, S.V.; Wrobel, M.; Mishuris, G.: Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles (2016)
  11. Porter, R.Michael; Shimauchi, Hirokazu: Numerical solution of the Beltrami equation via a purely linear system (2016)
  12. Wang, Qixuan; Othmer, Hans G.: Computational analysis of amoeboid swimming at low Reynolds number (2016)
  13. Black, J.P.; Breward, C.J.W.; Howell, P.D.: Two-dimensional modeling of electron flow through a poorly conducting layer (2015)
  14. Bogatyrev, A.B.: Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves (2015)
  15. Greer, Neil; Loisel, Sébastien: The optimised Schwarz method and the two-Lagrange multiplier method for heterogeneous problems in general domains with two general subdomains (2015)
  16. Huang, Zhu; Boyd, John P.: Chebyshev-Fourier spectral methods in bipolar coordinates (2015)
  17. Karabasheva, E.N.; Shabalin, P.L.: Univalence of mappings from half-plane to a polygonal domains with infinite sets of vertices (2015)
  18. Lopez-Fernandez, M.; Sauter, S.: Fast and stable contour integration for high order divided differences via elliptic functions (2015)
  19. Mantica, Giorgio: Orthogonal polynomials of equilibrium measures supported on Cantor sets (2015)
  20. Pasialis, V.; Lampeas, G.: Shape descriptors and mapping methods for full-field comparison of experimental to simulation data (2015) ioport

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Further publications can be found at: http://www.math.udel.edu/~driscoll/papers/