×

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; mctoolbox; GitHub; chebop; OPQ; FastGaussQuadrature; Eigtool; AAA; Differentiation Matrix Suite; mftoolbox; ApproxFun; INTLAB; RKToolbox; Clenshaw-Curtis; Schwarz-Christoffel; rootsb; JDQZ; Julia
Cited in: 427 Publications
Further Publications: http://www.chebfun.org/publications/
all top 5

Cited by 614 Authors

39 Trefethen, Lloyd Nicholas
20 Townsend, Alex
15 Xiang, Shuhuang
13 Nakatsukasa, Yuji
11 Boyd, John Philip
10 Vianello, Marco
9 Berrut, Jean-Paul
9 Olver, Sheehan Shakiban
8 Driscoll, Tobin A.
7 De Marchi, Stefano
7 Hale, Nicholas
7 Noferini, Vanni
7 Platte, Rodrigo B.
6 Hosseini, Seyyed Ahmad
6 Montanelli, Hadrien
6 Trynin, Aleksandr Yur’evich
5 Abdi, Ali
5 Klein, Georges
5 Kressner, Daniel
5 Lessard, Jean-Philippe
5 Sommariva, Alvise
4 Aurentz, Jared Lee
4 Birkisson, Asgeir
4 Caliari, Marco
4 Foucart, Simon
4 Glau, Kathrin
4 Güttel, Stefan
4 Hashemi, Behnam
4 Hofreither, Clemens
4 Jarlebring, Elias
4 Krause, Andrew L.
4 Lasserre, Jean-Bernard
4 Liu, Guidong
4 Michiels, Wim
4 Napoli, Anna
4 Pérez, Javier J.
4 Robol, Leonardo
4 Van Deun, Joris
4 Wang, Haiyong
4 Webb, Marcus
4 Weideman, J. André C.
4 Wilber, Heather
4 Xu, Kuan
3 Austin, Anthony P.
3 Bornemann, Folkmar A.
3 Chandrashekar, Praveen
3 Filip, Silviu-Ioan
3 Gonnet, Pedro
3 Greenbaum, Anne
3 Henrion, Didier
3 Hickernell, Fred J.
3 Huybrechs, Daan
3 Mahlstedt, Mirco
3 Meerbergen, Karl
3 Mitchell, Tim
3 Overton, Michael L.
3 Pachón, Ricardo
3 Perdikaris, Paris G.
3 Raissi, Maziar
3 Revers, Michael
3 Şerban, Marcel Adrian
3 Takayasu, Akitoshi
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 Byrne, Helen Mary
2 Chachuat, Benoît
2 Chan, Tat Lung (Ron)
2 Cools, Ronald
2 Cox, Ben T.
2 Després, Bruno
2 Ding, Yuhan
2 Eidelman, Yuli
2 Elgindy, Kareem T.
2 Foster, Jamie M.
2 Gelb, Anne
2 Gemignani, Luca
2 Gheorghiu, Călin Ioan
2 Gorodetsky, Alex A.
2 Groşan, Teodor S.
2 Guimarães, Osvaldo
2 Gutleb, Timon S.
2 Harizanov, Stanislav
2 He, Guo
2 Hochstenbach, Michiel E.
2 Horning, Andrew
2 Houska, Boris
2 Howell, Peter D.
2 Ivanov, Kamen G.
2 Jaquette, Jonathan
2 Jovanović, Mihailo R.
2 Khoromskiĭ, Boris Nikolaevich
2 Klingenberg, Christian
2 Labecca, William
...and 514 more Authors
all top 5

Cited in 122 Serials

45 SIAM Journal on Scientific Computing
21 Journal of Computational Physics
20 Numerical Algorithms
19 Journal of Computational and Applied Mathematics
19 SIAM Journal on Matrix Analysis and Applications
17 SIAM Journal on Numerical Analysis
14 Applied Mathematics and Computation
12 Applied Numerical Mathematics
12 SIAM Review
10 BIT
10 Numerische Mathematik
9 Journal of Scientific Computing
8 Mathematics of Computation
6 ACM Transactions on Mathematical Software
5 Computers & Mathematics with Applications
5 IMA Journal of Numerical Analysis
5 Journal of Fluid Mechanics
5 Bulletin of Mathematical Biology
5 Constructive Approximation
5 SIAM Journal on Applied Mathematics
5 ETNA. Electronic Transactions on Numerical Analysis
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Mathematical Analysis and Applications
4 Mathematics and Computers in Simulation
4 Applied Mathematics Letters
4 SIAM Journal on Optimization
4 Applied and Computational Harmonic Analysis
4 Advances in Computational Mathematics
4 SIAM Journal on Applied Dynamical Systems
3 Journal of Approximation Theory
3 Proceedings of the American Mathematical Society
3 International Journal of Computer Mathematics
3 Linear Algebra and its Applications
3 Communications in Computational Physics
3 Other Titles in Applied Mathematics
2 Communications in Mathematical Physics
2 Journal of Mathematical Biology
2 Wave Motion
2 Calcolo
2 Results in Mathematics
2 Journal of Complexity
2 Applied Mathematical Modelling
2 Mathematical Problems in Engineering
2 Fractional Calculus & Applied Analysis
2 Quantitative Finance
2 Foundations of Computational Mathematics
2 Computational Methods and Function Theory
2 GEM - International Journal on Geomathematics
2 Journal of Theoretical Biology
2 Journal of Computational Dynamics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 London Mathematical Society. Newsletter
1 ACM Computing Surveys
1 Computers and Fluids
1 International Journal of Control
1 Inverse Problems
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 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Journal of Differential Equations
1 Journal of Econometrics
1 Mathematics of Operations Research
1 Systems & Control Letters
1 Physica D
1 Journal of Symbolic Computation
1 Computational Mechanics
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Global Optimization
1 Computational Mathematics and Mathematical Physics
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 Journal of Nonlinear Science
1 Russian Mathematics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Filomat
1 Applied Mathematical Finance
1 Izvestiya: Mathematics
1 The Journal of Fourier Analysis and Applications
1 ELA. The Electronic Journal of Linear Algebra
1 Finance and Stochastics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Markov Processes and Related Fields
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Regular and Chaotic Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 The ANZIAM Journal
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 Journal of Machine Learning Research (JMLR)
1 Journal of Numerical Mathematics
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
...and 22 more Serials
all top 5

Cited in 46 Fields

328 Numerical analysis (65-XX)
112 Approximations and expansions (41-XX)
50 Partial differential equations (35-XX)
40 Ordinary differential equations (34-XX)
37 Linear and multilinear algebra; matrix theory (15-XX)
28 Fluid mechanics (76-XX)
21 Integral equations (45-XX)
19 Computer science (68-XX)
19 Operations research, mathematical programming (90-XX)
18 Special functions (33-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 Biology and other natural sciences (92-XX)
16 Probability theory and stochastic processes (60-XX)
13 Operator theory (47-XX)
13 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)
7 Mechanics of deformable solids (74-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Integral transforms, operational calculus (44-XX)
6 Optics, electromagnetic theory (78-XX)
5 Algebraic geometry (14-XX)
5 Functional analysis (46-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Mechanics of particles and systems (70-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 Number theory (11-XX)
4 Field theory and polynomials (12-XX)
4 Commutative algebra (13-XX)
4 Quantum theory (81-XX)
3 Mathematics education (97-XX)
2 Sequences, series, summability (40-XX)
2 Classical thermodynamics, heat transfer (80-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)
1 Geophysics (86-XX)

Citations by Year