Chebfun swMATH ID: 5897 Software Authors: Battles, Zachary; Trefethen, Nick; Pachón, Ricardo; Platte, Rodrigo; Driscoll, Toby; Bornemann, Folkmar; Aurentz, Jared; Austin, Anthony; Birkisson, Ásgeir; Filip, Silviu; Gonnet, Pedro; Güttel, Stefan; Hale, Nick; Hashemi, Behnam; Hrothgar; Javed, Mohsin; Klein, Georges; Montanelli, Hadrien; Nakatsukasa, Yuji; Richardson, Mark; Townsend, Alex; Wilber, Heather; Wright, Grady; Xu, Kuan; Berrut, Jean-Paul; Noferini, Vanni; Olver, Sheehan; Peixoto, Lourenço; Sète, Olivier; Slevinsky, Richard Mikael; Van Deun, Joris; Webb, Marcus Description: Chebfun is a collection of algorithms and a software system in object-oriented MATLAB that extends familiar powerful methods of numerical computation involving numbers to continuous or piecewise-continuous functions. It also implements continuous analogues of linear algebra notions like the QR decomposition and the SVD, and solves ordinary differential equations. The mathematical basis of the system combines tools of Chebyshev expansions, fast Fourier transform, barycentric interpolation, recursive zerofinding, and automatic differentiation. Homepage: http://www.chebfun.org/ Programming Languages: Matlab Dependencies: Matlab Keywords: Mathematics; Scientific/Engineering Related Software: Matlab; DLMF; Chebfun2; GitHub; mctoolbox; AAA; chebop; OPQ; Adam; Eigtool; FastGaussQuadrature; mftoolbox; Differentiation Matrix Suite; INTLAB; Schwarz-Christoffel; DeepONet; FFTW; Julia; Clenshaw-Curtis; ApproxFun Cited in: 568 Documents Further Publications: http://www.chebfun.org/publications/ Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Exploring ODEs. Zbl 1402.34002Trefethen, Lloyd N.; Birkisson, Ásgeir; Driscoll, Tobin A. 2018 A sinc function analogue of Chebfun. Zbl 1234.41001Richardson, Mark; Trefethen, Lloyd N. 2011 all top 5 Cited by 854 Authors 46 Trefethen, Lloyd Nicholas 22 Townsend, Alex 19 Xiang, Shuhuang 16 Nakatsukasa, Yuji 11 Berrut, Jean-Paul 11 Boyd, John Philip 10 Olver, Sheehan Shakiban 10 Vianello, Marco 9 Driscoll, Tobin A. 9 Trynin, Aleksandr Yur’evich 7 De Marchi, Stefano 7 Hale, Nicholas 7 Montanelli, Hadrien 7 Noferini, Vanni 7 Platte, Rodrigo B. 6 Abdi, Ali 6 Foucart, Simon 6 Hashemi, Behnam 6 Hosseini, Seyyed Ahmad 6 Kressner, Daniel 6 Mitchell, Tim 5 Caliari, Marco 5 Güttel, Stefan 5 Hofreither, Clemens 5 Huybrechs, Daan 5 Jarlebring, Elias 5 Klein, Georges 5 Lessard, Jean-Philippe 5 Overton, Michael L. 5 Sommariva, Alvise 5 Wang, Haiyong 5 Weideman, J. André C. 5 Xu, Kuan 4 Aurentz, Jared Lee 4 Austin, Anthony P. 4 Birkisson, Asgeir 4 Gheorghiu, Călin Ioan 4 Glau, Kathrin 4 Greenbaum, Anne 4 Krause, Andrew L. 4 Lasserre, Jean-Bernard 4 Liu, Guidong 4 Michiels, Wim 4 Napoli, Anna 4 O’Neil, Michael 4 Perdikaris, Paris G. 4 Pérez, Javier J. 4 Robol, Leonardo 4 Takayasu, Akitoshi 4 Van Deun, Joris 4 Vasconcelos, Paulo Beleza 4 Webb, Marcus 4 Wilber, Heather 3 An, Congpei 3 Bornemann, Folkmar A. 3 Boullé, Nicolas 3 Chandrashekar, Praveen 3 Colbrook, Matthew J. 3 Filip, Silviu-Ioan 3 Gonnet, Pedro 3 Henrion, Didier 3 Hickernell, Fred J. 3 Karniadakis, George Em 3 Li, Bin 3 Lima, Nilson J. 3 Mahlstedt, Mirco 3 Meerbergen, Karl 3 Pachón, Ricardo 3 Protas, Bartosz 3 Raissi, Maziar 3 Revers, Michael 3 Şerban, Marcel Adrian 3 Slevinsky, Richard Mikaël 3 Trif, Damian 3 Wright, Grady B. 2 Abd-Elhameed, Waleed Mohamed 2 Aiton, Kevin W. 2 Baltensperger, Richard 2 Berberich, Jonas P. 2 Black, Jonathan P. 2 Boito, Paola 2 Bos, Len P. 2 Bréhard, Florent 2 Byrne, Helen Mary 2 Cassini, Fabio 2 Chachuat, Benoît 2 Chan, Tat Lung (Ron) 2 Chen, Yong 2 Cools, Ronald 2 Cox, Ben T. 2 Dentz, Marco 2 Després, Bruno 2 Ding, Yuhan 2 Earls, Christopher J. 2 Eidelman, Yuli 2 Elefante, Giacomo 2 Elgindy, Kareem T. 2 Engström, Christian 2 Farrell, Patrick E. 2 Fornberg, Bengt ...and 754 more Authors all top 5 Cited in 153 Serials 55 SIAM Journal on Scientific Computing 32 Numerical Algorithms 29 Journal of Computational Physics 24 Journal of Computational and Applied Mathematics 20 SIAM Journal on Numerical Analysis 19 SIAM Journal on Matrix Analysis and Applications 15 Applied Mathematics and Computation 14 Applied Numerical Mathematics 13 BIT 13 SIAM Review 12 ETNA. Electronic Transactions on Numerical Analysis 12 Advances in Computational Mathematics 11 Numerische Mathematik 11 Journal of Scientific Computing 10 Computer Methods in Applied Mechanics and Engineering 8 Mathematics of Computation 7 ACM Transactions on Mathematical Software 6 Computers & Mathematics with Applications 6 Journal of Fluid Mechanics 6 Bulletin of Mathematical Biology 6 Mathematics and Computers in Simulation 6 SIAM Journal on Applied Dynamical Systems 5 Computer Physics Communications 5 IMA Journal of Numerical Analysis 5 Journal of Approximation Theory 5 Constructive Approximation 5 Applied Mathematics Letters 5 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Calcolo 4 Linear Algebra and its Applications 4 SIAM Journal on Optimization 4 Applied and Computational Harmonic Analysis 3 Proceedings of the American Mathematical Society 3 Physica D 3 International Journal of Computer Mathematics 3 Mathematics in Computer Science 3 Communications in Computational Physics 3 Other Titles in Applied Mathematics 3 Results in Applied Mathematics 2 Communications in Mathematical Physics 2 Inverse Problems 2 Journal of Mathematical Biology 2 Wave Motion 2 Chaos, Solitons and Fractals 2 Results in Mathematics 2 Systems & Control Letters 2 Journal of Symbolic Computation 2 Journal of Complexity 2 Neural Networks 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 Journal of Nonlinear Science 2 Mathematical Problems in Engineering 2 Chaos 2 Fractional Calculus & Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Quantitative Finance 2 Foundations of Computational Mathematics 2 Computational Methods in Applied Mathematics 2 Computational Methods and Function Theory 2 Communications in Theoretical Physics 2 GEM - International Journal on Geomathematics 2 Statistics and Computing 2 Journal of Theoretical Biology 2 Journal of Computational Dynamics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Water Waves 2 London Mathematical Society. Newsletter 1 ACM Computing Surveys 1 Computers and Fluids 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 The Annals of Statistics 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Journal of Econometrics 1 Journal of Optimization Theory and Applications 1 Mathematics of Operations Research 1 Technometrics 1 Revista Matemática Iberoamericana 1 Computational Mechanics 1 Journal of Global Optimization 1 SIAM Journal on Mathematical Analysis 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 Combinatorics, Probability and Computing ...and 53 more Serials all top 5 Cited in 46 Fields 426 Numerical analysis (65-XX) 144 Approximations and expansions (41-XX) 72 Partial differential equations (35-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 48 Ordinary differential equations (34-XX) 38 Fluid mechanics (76-XX) 37 Computer science (68-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 27 Integral equations (45-XX) 25 Operations research, mathematical programming (90-XX) 24 Special functions (33-XX) 22 Operator theory (47-XX) 21 Statistics (62-XX) 20 Probability theory and stochastic processes (60-XX) 19 Biology and other natural sciences (92-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Functions of a complex variable (30-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Systems theory; control (93-XX) 12 Real functions (26-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Integral transforms, operational calculus (44-XX) 9 Mechanics of deformable solids (74-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Information and communication theory, circuits (94-XX) 7 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Mathematics education (97-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year