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 291 articles , 2 standard articles )

Showing results 1 to 20 of 291.
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  1. Berrut, Jean-Paul; Elefante, Giacomo: A periodic map for linear barycentric rational trigonometric interpolation (2020)
  2. Elgindy, Kareem T.; Refat, Hareth M.: High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations (2020)
  3. Matharu, Pritpal; Protas, Bartosz: Optimal closures in a simple model for turbulent flows (2020)
  4. Trefethen, Lloyd N.: Approximation theory and approximation practice (2020)
  5. Aiton, Kevin W.; Driscoll, Tobin A.: An adaptive partition of unity method for multivariate Chebyshev polynomial approximations (2019)
  6. Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis: Stable computation of generalized matrix functions via polynomial interpolation (2019)
  7. Brugnano, Luigi; Gurioli, Gianmarco; Sun, Yajuan: Energy-conserving Hamiltonian boundary value methods for the numerical solution of the Korteweg-de Vries equation (2019)
  8. Demanet, Laurent; Townsend, Alex: Stable extrapolation of analytic functions (2019)
  9. DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw: Computing a quantity of interest from observational data (2019)
  10. Filip, Silviu; Javeed, Aurya; Trefethen, Lloyd N.: Smooth random functions, random ODEs, and Gaussian processes (2019)
  11. Foucart, Simon; Lasserre, Jean Bernard: Computation of Chebyshev polynomials for union of intervals (2019)
  12. Gilles, Marc Aurèle; Townsend, Alex: Continuous analogues of Krylov subspace methods for differential operators (2019)
  13. Glau, Kathrin; Mahlstedt, Mirco; Pötz, Christian: A new approach for American option pricing: the dynamic Chebyshev method (2019)
  14. Gopal, Abinand; Trefethen, Lloyd N.: Representation of conformal maps by rational functions (2019)
  15. Hart, Joseph L.; Gremaud, Pierre A.: Robustness of the Sobol’ indices to marginal distribution uncertainty (2019)
  16. Hashemi, Behnam: Enclosing Chebyshev expansions in linear time (2019)
  17. Houska, Boris; Chachuat, Benoît: Global optimization in Hilbert space (2019)
  18. Krause, Andrew L.; Ellis, Meredith A.; Van Gorder, Robert A.: Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds (2019)
  19. Lambers, James V.; Sumner, Amber C.: Explorations in numerical analysis (2019)
  20. Li, Bin; Xiang, Shuhuang: Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels (2019)

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