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. Farjudian, Amin: Polynomial-time solution of initial value problems using polynomial enclosures (2012)
  2. Gonnet, Pedro: A review of error estimation in adaptive quadrature (2012)
  3. Greenbaum, Anne; Chartier, Timothy P.: Numerical methods. Design, analysis, and computer implementation of algorithms. (2012)
  4. Güttel, Stefan; Klein, Georges: Convergence of linear barycentric rational interpolation for analytic functions (2012)
  5. Hale, Nicholas; Trefethen, Lloyd N.: Chebfun and numerical quadrature (2012)
  6. Ilea, V.; Otrocol, D.; Şerban, M. A.; Trif, D.: Integro-differential equation with two time lags (2012)
  7. Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl: A linear eigenvalue algorithm for the nonlinear eigenvalue problem (2012)
  8. Jaroszewicz, Szymon; Korzeń, Marcin: Arithmetic operations on independent random variables: a numerical approach (2012)
  9. Klein, Georges; Berrut, Jean-Paul: Linear barycentric rational quadrature (2012)
  10. Pachón, Ricardo; Gonnet, Pedro; Van Deun, Joris: Fast and stable rational interpolation in roots of unity and Chebyshev points (2012)
  11. Poppe, Koen; Cools, Ronald: In search for good Chebyshev lattices (2012)
  12. Trif, Damian: Direct operatorial tau method for pantograph-type equations (2012)
  13. Wang, Haiyong; Xiang, Shuhuang: On the convergence rates of Legendre approximation (2012)
  14. Webb, Marcus; Trefethen, Lloyd N.; Gonnet, Pedro: Stability of barycentric interpolation formulas for extrapolation (2012)
  15. Xiang, Shuhuang: Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature (2012)
  16. Baltensperger, Richard: Barycentric rational interpolation with asymptotically monitored poles (2011)
  17. Boyd, John P.: New series for the cosine lemniscate function and the polynomialization of the lemniscate integral (2011)
  18. Fornberg, Bengt; Weideman, J. A. C.: A numerical methodology for the Painlevé equations (2011)
  19. Olver, Sheehan: GMRES for oscillatory matrix-valued differential equations (2011)
  20. Platte, Rodrigo B.; Trefethen, Lloyd N.; Kuijlaars, Arno B. J.: Impossibility of fast stable approximation of analytic functions from equispaced samples (2011)

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