Schwarz-Christoffel swMATH ID: 833 Software Authors: Tobin A. Driscoll Description: 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. Homepage: http://www.math.udel.edu/~driscoll/SC/ Dependencies: Matlab Related Software: SC Toolbox; Matlab; SCPACK; Algorithm 785; cap; FMMLIB2D; CONFPACK; DLMF; Chebfun; SKPrime; PlgCirMap; Mathematica; mctoolbox; CirclePack; GEARLIKE; mftoolbox; kirch; GaussQR; Julia; GitHub Cited in: 246 Publications all top 5 Cited by 351 Authors 12 Trefethen, Lloyd Nicholas 10 Hakula, Harri 10 Vuorinen, Matti Keijo Kustaa 9 Driscoll, Tobin A. 8 Nachbin, André 7 DeLillo, Thomas K. 7 Nasser, Mohamed M. S. 6 Bezrodnykh, Sergeĭ I. 6 Crowdy, Darren Gregory 6 Elcrat, Alan R. 6 Porter, R. Michael 6 Rasila, Antti 5 Hyvönen, Nuutti 5 Nasyrov, Semen R. 5 Stylianopoulos, Nikos S. 4 Hale, Nicholas 4 Kolesnikov, Ivan Aleksandrovich 4 Papamichael, Nicolas 3 Andersson, Anders 3 Bishop, Christopher James 3 Bogatyrev, Andrei Borisovich 3 Brown, Philip R. 3 Fyrillas, Marios M. 3 Gu, Xianfeng 3 Kropf, Everett H. 3 Liesen, Jörg 3 Luo, Feng 3 Pacheco Calixto, Wesley 3 Pfaltzgraff, John A. 3 Quach, Tri 3 Sète, Olivier 3 Simoncini, Valeria 2 Andrade, David 2 Anselmo, Tiago 2 Antipov, Yuri A. 2 Banjai, Lehel 2 Barth, Dominik 2 Beckermann, Bernhard 2 Bordas, Stéphane Pierre Alain 2 Boyd, John Philip 2 da Cunha Brito, Leonardo 2 Da Cunha, Bruno Carneiro 2 Da Mota, Jesus Carlos 2 Damanik, David 2 Di Barba, Paolo 2 Druskin, Vladimir 2 Embree, Mark 2 Fokas, Athanassios S. 2 Hassenpflug, Walter C. 2 López-Fernández, María 2 Mahapatra, Deshabrata Roy 2 Markowsky, Greg T. 2 Mishuris, Gennady S. 2 Mityushev, Vladimir V. 2 Natarajan, Sundararajan 2 Nelson, Rhodri B. 2 Novak, Jindrich 2 Novati, Paolo 2 Perracchione, Emma 2 Pinheiro de Alvarenga, Bernardo 2 Reichel, Lothar 2 Rogosin, Sergei V. 2 Sauter, Stefan A. 2 Savini, Antonio 2 Sil’vestrov, Vasiliĭ Vasil’evich 2 Stephenson, Kenneth 2 Tee, T. Wynn 2 Tsukrov, Igor 2 Wenz, Andreas 2 Wright, Alex 2 Wrobel, Michal 2 Yau, Shing-Tung 1 Aavatsmark, Ivar 1 Adcock, Ben 1 Al-Faqih, Feras M. 1 Alhejaili, Weaam 1 Alvarenga, Bernardo 1 Alves, Aylton José 1 Amano, Kaname 1 Artiles, William 1 Atkinson, Kendall Eugene 1 Aune, Erlend 1 Avila, Artur 1 Badreddine, Mohamed 1 Balachandran, G. R. 1 Bauer, Ulrich 1 Beattie, Christopher A. 1 Betcke, Timo 1 Biro, Thomas 1 Black, Jonathan P. 1 Bonciani, Damiano 1 Bonnet, Guy 1 Borcea, Liliana 1 Borkowski, Mariusz 1 Bornemann, Folkmar A. 1 Boronski, Piotr 1 Boudabra, Maher 1 Braun, Richard J. 1 Brosch, J. K. 1 Brubaker, Nicholas D. ...and 251 more Authors all top 5 Cited in 121 Serials 28 Computational Methods and Function Theory 14 SIAM Journal on Scientific Computing 8 Journal of Computational and Applied Mathematics 7 SIAM Journal on Applied Mathematics 5 Journal of Computational Physics 5 ETNA. 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Series B ...and 21 more Serials all top 5 Cited in 45 Fields 121 Functions of a complex variable (30-XX) 107 Numerical analysis (65-XX) 40 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 22 Potential theory (31-XX) 18 Optics, electromagnetic theory (78-XX) 16 Mechanics of deformable solids (74-XX) 11 Special functions (33-XX) 10 Approximations and expansions (41-XX) 10 Operator theory (47-XX) 9 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Probability theory and stochastic processes (60-XX) 7 Biology and other natural sciences (92-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Differential geometry (53-XX) 5 Algebraic geometry (14-XX) 5 Integral equations (45-XX) 5 Convex and discrete geometry (52-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mathematical logic and foundations (03-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year