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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; DLMF; Chebfun; CONFPACK; FMMLIB2D; SKPrime; mctoolbox; Mathematica; CirclePack; mftoolbox; kirch; CircularMap; AAA; COCA; GaussQR; Maple
Referenced in: 237 Publications
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Referenced by 335 Authors

12 Trefethen, Lloyd Nicholas
10 Hakula, Harri
9 Driscoll, Tobin A.
8 Nachbin, André
8 Vuorinen, Matti Keijo Kustaa
7 DeLillo, Thomas K.
6 Elcrat, Alan R.
6 Porter, R. Michael
5 Bezrodnykh, Sergeĭ I.
5 Crowdy, Darren Gregory
5 Hyvönen, Nuutti
5 Nasser, Mohamed M. S.
5 Rasila, Antti
5 Stylianopoulos, Nikos S.
4 Hale, Nicholas
4 Nasyrov, Semen R.
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 Kolesnikov, Ivan Aleksandrovich
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 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 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 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 Anselmo, Tiago
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.
1 Bunck, Benjamin F.
1 Burch, Nathanial
...and 235 more Authors
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Referenced in 115 Serials

27 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. Electronic Transactions on Numerical Analysis
4 SIAM Journal on Numerical Analysis
3 International Journal of Solids and Structures
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2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
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1 Discrete and Continuous Dynamical Systems. Series B
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Numerical Mathematics
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Referenced in 44 Fields

114 Functions of a complex variable (30-XX)
104 Numerical analysis (65-XX)
40 Partial differential equations (35-XX)
33 Fluid mechanics (76-XX)
21 Potential theory (31-XX)
18 Optics, electromagnetic theory (78-XX)
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3 Statistical mechanics, structure of matter (82-XX)
3 Geophysics (86-XX)
2 Mathematical logic and foundations (03-XX)
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