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.
Keywords for this software
References in zbMATH (referenced in 235 articles )
Showing results 61 to 80 of 235.
Sorted by year (citations)
- Bezrodnykh, S. I.: On the analytic continuation of the Lauricella function (F_D^(N)) (2016)
- Bezrodnykh, S. I.: Jacobi-type differential relations for the Lauricella function (F_D^(N)) (2016)
- Bezrodnykh, S. I.: Analytic continuation formulas and Jacobi-type relations for Lauricella function (2016)
- Boyd, John P.: Correcting three errors in Kantorovich & Krylov’s \textitApproximatemethods of higher analysis (2016)
- Brown, Philip R.; Porter, R. Michael: Numerical conformal mapping to one-tooth gear-shaped domains and applications (2016)
- Cathala, Mathieu: Asymptotic shallow water models with non smooth topographies (2016)
- Grigoryan, Armen: Slit univalent harmonic mappings (2016)
- Harwood, Adrian R. G.; Dupère, Iain D. J.: Numerical evaluation of the compact acoustic Green’s function for scattering problems (2016)
- Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf: Convergence rates for inverse-free rational approximation of matrix functions (2016)
- Nachbin, André: Conformal mapping and complex topographies (2016)
- Nasser, Mohamed M. S.; Liesen, Jörg; Sète, Olivier: Numerical computation of the conformal map onto lemniscatic domains (2016)
- Panda, Srikumar; Martha, S. C.; Chakrabarti, A.: An alternative approach to study nonlinear inviscid flow over arbitrary bottom topography (2016)
- Peck, D.; Rogosin, S. V.; Wrobel, M.; Mishuris, G.: Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles (2016)
- Porter, R. Michael; Shimauchi, Hirokazu: Numerical solution of the Beltrami equation via a purely linear system (2016)
- Sète, Olivier; Liesen, Jörg: On conformal maps from multiply connected domains onto lemniscatic domains (2016)
- Shojaei, Iman; Rahami, Hossein; Kaveh, Ali: A numerical solution for Laplace and Poisson’s equations using geometrical transformation and graph products (2016)
- Wang, Qixuan; Othmer, Hans G.: Computational analysis of amoeboid swimming at low Reynolds number (2016)
- Black, J. P.; Breward, C. J. W.; Howell, P. D.: Two-dimensional modeling of electron flow through a poorly conducting layer (2015)
- Bogatyrev, A. B.: Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves (2015)
- 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)