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 142 articles , 1 standard article )

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  1. Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.: Approximate calculation of sums. II: Gaussian type quadrature (2016)
  2. Bornemann, Folkmar: The SIAM 100-Digit Challenge: a decade later. Inspirations, ramifications, and other eddies left in its wake (2016)
  3. Chadha, Naresh M.; Madden, Niall: An optimal time-stepping algorithm for unsteady advection-diffusion problems (2016)
  4. Costabile, F.; Napoli, A.: A new spectral method for a class of linear boundary value problems (2016)
  5. Driscoll, Tobin A.; Hale, Nicholas: Rectangular spectral collocation (2016)
  6. Du, Kui: On well-conditioned spectral collocation and spectral methods by the integral reformulation (2016)
  7. Dumitrescu, Bogdan; Şicleru, Bogdan C.; Avram, Florin: Modeling probability densities with sums of exponentials via polynomial approximation (2016)
  8. Greenbaum, Anne; Caldwell, Trevor; Li, Kenan: Near normal dilations of nonnormal matrices and linear operators (2016)
  9. Hosseini, S.A.; Abdi, A.: On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations (2016)
  10. Lubinsky, Doron S.; Pritsker, Igor E.; Xie, X.: Expected number of real zeros for random linear combinations of orthogonal polynomials (2016)
  11. März, Thomas; Rockstroh, Parousia; Ruuth, Steven J.: An embedding technique for the solution of reaction-diffusion equations on algebraic surfaces with isolated singularities (2016)
  12. Montanelli, Hadrien; Gushterov, Nikola I.: Computing planar and spherical choreographies (2016)
  13. Nakatsukasa, Yuji; Noferini, Vanni: On the stability of computing polynomial roots via confederate linearizations (2016)
  14. Napoli, Anna: Solutions of linear second order initial value problems by using Bernoulli polynomials (2016)
  15. Noferini, Vanni; Townsend, Alex: Numerical instability of resultant methods for multidimensional rootfinding (2016)
  16. Plestenjak, Bor; Hochstenbach, Michiel E.: Roots of bivariate polynomial systems via determinantal representations (2016)
  17. Townsend, Alex; Wilber, Heather; Wright, Grady B.: Computing with functions in spherical and polar geometries. I. The sphere (2016)
  18. Xiang, Shuhuang: An improved error bound on Gauss quadrature (2016)
  19. Xiang, Shuhuang: On interpolation approximation: convergence rates for polynomial interpolation for functions of limited regularity (2016)
  20. Xu, Kuan: The Chebyshev points of the first kind (2016)

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