Chebfun swMATH ID: 5897 Software Authors: ChebfunTeam; A Driscoll, N. Hale, L. N. Trefethen 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; chebop; OPQ; FastGaussQuadrature; Eigtool; Differentiation Matrix Suite; AAA; mftoolbox; INTLAB; ApproxFun; Clenshaw-Curtis; JDQZ; Julia; Adam; CVX; FFTW Cited in: 475 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 690 Authors 42 Trefethen, Lloyd Nicholas 22 Townsend, Alex 16 Xiang, Shuhuang 15 Nakatsukasa, Yuji 11 Boyd, John Philip 10 Berrut, Jean-Paul 10 Olver, Sheehan Shakiban 10 Vianello, Marco 8 Driscoll, Tobin A. 8 Trynin, Aleksandr Yur’evich 7 De Marchi, Stefano 7 Hale, Nicholas 7 Noferini, Vanni 7 Platte, Rodrigo B. 6 Hashemi, Behnam 6 Hosseini, Seyyed Ahmad 6 Montanelli, Hadrien 5 Abdi, Ali 5 Caliari, Marco 5 Foucart, Simon 5 Hofreither, Clemens 5 Klein, Georges 5 Kressner, Daniel 5 Lessard, Jean-Philippe 5 Mitchell, Tim 5 Sommariva, Alvise 5 Wang, Haiyong 5 Weideman, J. André C. 4 Aurentz, Jared Lee 4 Austin, Anthony P. 4 Birkisson, Asgeir 4 Glau, Kathrin 4 Güttel, Stefan 4 Huybrechs, Daan 4 Jarlebring, Elias 4 Krause, Andrew L. 4 Lasserre, Jean-Bernard 4 Liu, Guidong 4 Michiels, Wim 4 Napoli, Anna 4 Overton, Michael L. 4 Perdikaris, Paris G. 4 Pérez, Javier J. 4 Robol, Leonardo 4 Takayasu, Akitoshi 4 Van Deun, Joris 4 Webb, Marcus 4 Wilber, Heather 4 Xu, Kuan 3 Bornemann, Folkmar A. 3 Chandrashekar, Praveen 3 Filip, Silviu-Ioan 3 Gheorghiu, Călin Ioan 3 Gonnet, Pedro 3 Greenbaum, Anne 3 Henrion, Didier 3 Hickernell, Fred J. 3 Mahlstedt, Mirco 3 Meerbergen, Karl 3 O’Neil, Michael 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 Boullé, Nicolas 2 Byrne, Helen Mary 2 Cassini, Fabio 2 Chachuat, Benoît 2 Chan, Tat Lung (Ron) 2 Cools, Ronald 2 Cox, Ben T. 2 Dentz, Marco 2 Després, Bruno 2 Ding, Yuhan 2 Eidelman, Yuli 2 Elefante, Giacomo 2 Elgindy, Kareem T. 2 Fornberg, Bengt 2 Foster, Jamie M. 2 Gelb, Anne 2 Gemignani, Luca 2 Georgieva, Irina 2 Gorodetsky, Alex Arkady 2 Groşan, Teodor S. 2 Guimarães, Osvaldo 2 Gutleb, Timon S. 2 Harizanov, Stanislav 2 He, Guo 2 Hochstenbach, Michiel E. ...and 590 more Authors all top 5 Cited in 134 Serials 48 SIAM Journal on Scientific Computing 30 Numerical Algorithms 21 Journal of Computational Physics 19 Journal of Computational and Applied Mathematics 19 SIAM Journal on Matrix Analysis and Applications 18 SIAM Journal on Numerical Analysis 14 Applied Mathematics and Computation 12 BIT 12 Applied Numerical Mathematics 12 SIAM Review 10 Numerische Mathematik 9 Journal of Scientific Computing 8 Mathematics of Computation 8 ETNA. 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Mathematical, Physical and Engineering Sciences ...and 34 more Serials all top 5 Cited in 46 Fields 359 Numerical analysis (65-XX) 127 Approximations and expansions (41-XX) 58 Partial differential equations (35-XX) 44 Ordinary differential equations (34-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 30 Fluid mechanics (76-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Computer science (68-XX) 23 Integral equations (45-XX) 19 Special functions (33-XX) 19 Operations research, mathematical programming (90-XX) 19 Biology and other natural sciences (92-XX) 18 Probability theory and stochastic processes (60-XX) 17 Operator theory (47-XX) 15 Statistics (62-XX) 12 Real functions (26-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Systems theory; control (93-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Functions of a complex variable (30-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of deformable solids (74-XX) 7 Integral transforms, operational calculus (44-XX) 7 Information and communication theory, circuits (94-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 5 General and overarching topics; collections (00-XX) 5 Algebraic geometry (14-XX) 5 Functional analysis (46-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Number theory (11-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 Sequences, series, summability (40-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year