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. (Source:

References in zbMATH (referenced in 304 articles , 2 standard articles )

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  1. Richardson, Mark; Trefethen, Lloyd N.: A sinc function analogue of Chebfun (2011)
  2. Rus, Ioan A.; Serban, Marcel-Adrian; Trif, Damian: Step method for some integral equations from biomathematics (2011)
  3. Santin, G.; Sommariva, A.; Vianello, M.: An algebraic cubature formula on curvilinear polygons (2011)
  4. Sugiura, Hiroshi; Hasegawa, Takemitsu: A polynomial interpolation process at quasi-Chebyshev nodes with the FFT (2011)
  5. Van Deun, Joris; Trefethen, Lloyd N.: A robust implementation of the Carathéodory-Fejér method for rational approximation (2011)
  6. Bornemann, F.: On the numerical evaluation of distributions in random matrix theory: a review (2010)
  7. Delibaşı, Akın; Henrion, Didier: Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities (2010)
  8. Driscoll, Tobin A.: Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations (2010)
  9. Fitt, Alistair D. (ed.); Norbury, John (ed.); Ockendon, Hilary (ed.); Wilson, R. Eddie (ed.): Progress in industrial mathematics at ECMI 2008. Proceedings of the 15th European conference on mathematics for industry, London, UK, June 30 - July 4, 2008. (2010)
  10. Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise: An improved arc algorithm for detecting definite Hermitian pairs (2010)
  11. Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim: A Krylov method for the delay eigenvalue problem (2010)
  12. Olver, Sheehan: Shifted GMRES for oscillatory integrals (2010)
  13. Olver, Sheehan: Fast, numerically stable computation of oscillatory integrals with stationary points (2010)
  14. Pachón, Ricardo; Platte, Rodrigo B.; Trefethen, Lloyd N.: Piecewise-smooth chebfuns (2010)
  15. Platte, R. B.; Trefethen, L. N.: \textttChebfun: A new kind of numerical computing (2010)
  16. Trefethen, Lloyd N.: Householder triangularization of a quasimatrix (2010)
  17. Van Deun, Joris: Computing near-best fixed pole rational interpolants (2010)
  18. Chugunova, Marina; Pelinovsky, Dmitry: On the uniform convergence of the Chebyshev interpolants for solitons (2009)
  19. Henrion, D.; Lasserre, J. B.; Savorgnan, C.: Approximate volume and integration for basic semialgebraic sets (2009)
  20. Pachón, Ricardo; Trefethen, Lloyd N.: Barycentric-Remez algorithms for best polynomial approximation in the chebfun system (2009)

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