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 280 articles , 2 standard articles )

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  1. Aiton, Kevin W.; Driscoll, Tobin A.: An adaptive partition of unity method for multivariate Chebyshev polynomial approximations (2019)
  2. Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis: Stable computation of generalized matrix functions via polynomial interpolation (2019)
  3. Brugnano, Luigi; Gurioli, Gianmarco; Sun, Yajuan: Energy-conserving Hamiltonian boundary value methods for the numerical solution of the Korteweg-de Vries equation (2019)
  4. Demanet, Laurent; Townsend, Alex: Stable extrapolation of analytic functions (2019)
  5. DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw: Computing a quantity of interest from observational data (2019)
  6. Filip, Silviu; Javeed, Aurya; Trefethen, Lloyd N.: Smooth random functions, random ODEs, and Gaussian processes (2019)
  7. Gilles, Marc Aurèle; Townsend, Alex: Continuous analogues of Krylov subspace methods for differential operators (2019)
  8. Glau, Kathrin; Mahlstedt, Mirco; Pötz, Christian: A new approach for American option pricing: the dynamic Chebyshev method (2019)
  9. Gopal, Abinand; Trefethen, Lloyd N.: Representation of conformal maps by rational functions (2019)
  10. Hart, Joseph L.; Gremaud, Pierre A.: Robustness of the Sobol’ indices to marginal distribution uncertainty (2019)
  11. Houska, Boris; Chachuat, Benoît: Global optimization in Hilbert space (2019)
  12. 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)
  13. Lambers, James V.; Sumner, Amber C.: Explorations in numerical analysis (2019)
  14. Li, Hengguang; Mollapourasl, Reza; Haghi, Majid: A local radial basis function method for pricing options under the regime switching model (2019)
  15. Li, Min; Huang, Chengming: The linear barycentric rational quadrature method for auto-convolution Volterra integral equations (2019)
  16. Massei, Stefano; Mazza, Mariarosa; Robol, Leonardo: Fast solvers for two-dimensional fractional diffusion equations using rank structured matrices (2019)
  17. McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming: Convection in a coupled free flow-porous media system (2019)
  18. Mortari, Daniele; Johnston, Hunter; Smith, Lidia: High accuracy least-squares solutions of nonlinear differential equations (2019)
  19. Paganini, Alberto; Sturm, Kevin: Weakly normal basis vector fields in RKHS with an application to shape Newton methods (2019)
  20. Papp, Dávid; Yildiz, Sercan: Sum-of-squares optimization without semidefinite programming (2019)

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