Schwarz-Christoffel

Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping. The Schwarz-Christoffel transformation and its variations yield formulas for conformal maps from standard regions to the interiors or exteriors of possibly unbounded polygons. Computations involving these maps generally require a computer, and although the numerical aspects of these transformations have been studied, there are few software implementations that are widely available and suited for general use. The Schwarz-Christoffel Toolbox for MATLAB is a new implementation of Schwarz-Christoffel formulas for maps from the disk, half-plane, strip, and rectangle domains to polygon interiors, and from the disk to polygon exteriors. The toolbox, written entirely in the MATLAB script language, exploits the high-level functions, interactive environment, visualization tools, and graphical user interface elements supplied by current versions of MATLAB, and is suitable for use both as a standalone tool and as a library for applications written in MATLAB, Fortran, or C. Several examples and simple applications are presented to demonstrate the toolbox’s capabilities.


References in zbMATH (referenced in 235 articles )

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  1. Bezrodnykh, S. I.: On the analytic continuation of the Lauricella function (F_D^(N)) (2016)
  2. Bezrodnykh, S. I.: Jacobi-type differential relations for the Lauricella function (F_D^(N)) (2016)
  3. Bezrodnykh, S. I.: Analytic continuation formulas and Jacobi-type relations for Lauricella function (2016)
  4. Boyd, John P.: Correcting three errors in Kantorovich & Krylov’s \textitApproximatemethods of higher analysis (2016)
  5. Brown, Philip R.; Porter, R. Michael: Numerical conformal mapping to one-tooth gear-shaped domains and applications (2016)
  6. Cathala, Mathieu: Asymptotic shallow water models with non smooth topographies (2016)
  7. Grigoryan, Armen: Slit univalent harmonic mappings (2016)
  8. Harwood, Adrian R. G.; Dupère, Iain D. J.: Numerical evaluation of the compact acoustic Green’s function for scattering problems (2016)
  9. Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf: Convergence rates for inverse-free rational approximation of matrix functions (2016)
  10. Nachbin, André: Conformal mapping and complex topographies (2016)
  11. Nasser, Mohamed M. S.; Liesen, Jörg; Sète, Olivier: Numerical computation of the conformal map onto lemniscatic domains (2016)
  12. Panda, Srikumar; Martha, S. C.; Chakrabarti, A.: An alternative approach to study nonlinear inviscid flow over arbitrary bottom topography (2016)
  13. Peck, D.; Rogosin, S. V.; Wrobel, M.; Mishuris, G.: Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles (2016)
  14. Porter, R. Michael; Shimauchi, Hirokazu: Numerical solution of the Beltrami equation via a purely linear system (2016)
  15. Sète, Olivier; Liesen, Jörg: On conformal maps from multiply connected domains onto lemniscatic domains (2016)
  16. Shojaei, Iman; Rahami, Hossein; Kaveh, Ali: A numerical solution for Laplace and Poisson’s equations using geometrical transformation and graph products (2016)
  17. Wang, Qixuan; Othmer, Hans G.: Computational analysis of amoeboid swimming at low Reynolds number (2016)
  18. Black, J. P.; Breward, C. J. W.; Howell, P. D.: Two-dimensional modeling of electron flow through a poorly conducting layer (2015)
  19. Bogatyrev, A. B.: Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves (2015)
  20. 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)

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