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 152 articles , 1 standard article )

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  1. Cavoretto, Roberto; De Rossi, Alessandra; Perracchione, Emma: Optimal selection of local approximants in RBF-PU interpolation (2018)
  2. Fasi, Massimiliano; Iannazzo, Bruno: Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector (2018)
  3. Adcock, Ben; Martín-Vaquero, Jesús; Richardson, Mark: Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities (2017)
  4. Dan, Hui; Guo, Kunyu; Huang, Hansong: Totally abelian Toeplitz operators and geometric invariants associated with their symbol curves (2017)
  5. Feiszli, Matt; Narayan, Akil: Numerical computation of Weil-Peterson geodesics in the universal Teichmüller space (2017)
  6. Goswami, Mayank; Gu, Xianfeng; Pingali, Vamsi P.; Telang, Gaurish: Computing Teichmüller maps between polygons (2017)
  7. Liesen, Jörg; Sète, Olivier; Nasser, Mohamed M.S.: Fast and accurate computation of the logarithmic capacity of compact sets (2017)
  8. Liu, Xiao-Yan; Chen, C.S.; Karageorghis, Andreas: Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method (2017)
  9. Luo, Feng: The Riemann mapping theorem and its discrete counterparts (2017)
  10. Nasyrov, S.: Conformal mappings of stretched polyominoes onto half-plane (2017)
  11. Bezrodnykh, S.I.: Analytic continuation formulas and Jacobi-type relations for Lauricella function (2016)
  12. Bezrodnykh, S.I.: On the analytic continuation of the Lauricella function $F_D^(N)$ (2016)
  13. Bezrodnykh, S.I.: Jacobi-type differential relations for the Lauricella function $F_D^(N)$ (2016)
  14. Brown, Philip R.; Porter, R.Michael: Numerical conformal mapping to one-tooth gear-shaped domains and applications (2016)
  15. Cathala, Mathieu: Asymptotic shallow water models with non smooth topographies (2016)
  16. Grigoryan, Armen: Slit univalent harmonic mappings (2016)
  17. Peck, D.; Rogosin, S.V.; Wrobel, M.; Mishuris, G.: Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles (2016)
  18. Porter, R.Michael; Shimauchi, Hirokazu: Numerical solution of the Beltrami equation via a purely linear system (2016)
  19. Wang, Qixuan; Othmer, Hans G.: Computational analysis of amoeboid swimming at low Reynolds number (2016)
  20. Black, J.P.; Breward, C.J.W.; Howell, P.D.: Two-dimensional modeling of electron flow through a poorly conducting layer (2015)

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