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. Electronic Transactions on Numerical Analysis
4 SIAM Journal on Numerical Analysis
3 International Journal of Solids and Structures
3 Inverse Problems
3 Journal of Engineering Mathematics
3 Journal of Fluid Mechanics
3 Mathematical Notes
3 Mathematics of Computation
3 ACM Transactions on Mathematical Software
3 Applied Mathematics and Computation
3 International Journal for Numerical Methods in Engineering
3 Constructive Approximation
3 Discrete & Computational Geometry
3 Journal of Scientific Computing
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Engineering Science
2 Journal of Mathematical Biology
2 Journal of Statistical Physics
2 Journal of Approximation Theory
2 Journal of Functional Analysis
2 Meccanica
2 Numerische Mathematik
2 Siberian Mathematical Journal
2 Applied Numerical Mathematics
2 Computational Mechanics
2 SIAM Journal on Matrix Analysis and Applications
2 Japan Journal of Industrial and Applied Mathematics
2 Applied Mathematical Modelling
2 Linear Algebra and its Applications
2 SIAM Review
2 Numerical Linear Algebra with Applications
2 Engineering Analysis with Boundary Elements
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 International Journal of Numerical Modelling
2 Lobachevskii Journal of Mathematics
2 Complex Variables and Elliptic Equations
2 Inverse Problems and Imaging
2 SIAM Journal on Imaging Sciences
2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
2 SIAM/ASA Journal on Uncertainty Quantification
1 American Mathematical Monthly
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 General Relativity and Gravitation
1 International Journal of Heat and Mass Transfer
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Nonlinearity
1 Quarterly Journal of Mechanics and Applied Mathematics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Bulletin of Mathematical Biology
1 Advances in Mathematics
1 Computing
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Applied Probability
1 Journal of Differential Equations
1 Matematički Vesnik
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Programming and Computer Software
1 Quarterly of Applied Mathematics
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Complex Variables. Theory and Application
1 Journal of Symbolic Computation
1 European Journal of Applied Mathematics
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 Journal of Physics A: Mathematical and General
1 Russian Mathematics
1 International Journal of Computer Vision
1 Filomat
1 Methods and Applications of Analysis
1 Advances in Computational Mathematics
1 Electronic Communications in Probability
1 Documenta Mathematica
1 Mathematical Problems in Engineering
1 Doklady Mathematics
1 Mathematics and Mechanics of Solids
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of A. Razmadze Mathematical Institute
1 European Journal of Mechanics. B. Fluids
1 Computational Geosciences
1 Optimization and Engineering
1 The ANZIAM Journal
1 Journal of Nonlinear Mathematical Physics
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. 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