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 210 articles , 1 standard article )

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  1. Aiton, Kevin W.; Driscoll, Tobin A.: An adaptive partition of unity method for Chebyshev polynomial interpolation (2018)
  2. Ament, Sebastian; O’Neil, Michael: Accurate and efficient numerical calculation of stable densities via optimized quadrature and asymptotics (2018)
  3. Fasi, Massimiliano; Iannazzo, Bruno: Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector (2018)
  4. Gheorghiu, Călin-Ioan: On the numerical treatment of the eigenparameter dependent boundary conditions (2018)
  5. Gheorghiu, Călin-Ioan: Spectral collocation solutions to problems on unbounded domains (2018)
  6. Magnus, Alphonse P.: Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices (2018)
  7. Montanelli, Hadrien; Nakatsukasa, Yuji: Fourth-order time-stepping for stiff PDEs on the sphere (2018)
  8. Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N.: The AAA algorithm for rational approximation (2018)
  9. Piazzon, Federico; Vianello, Marco: A note on total degree polynomial optimization by Chebyshev grids (2018)
  10. Putkaradze, Vakhtang; Rogers, Stuart: Constraint control of nonholonomic mechanical systems (2018)
  11. Scarnati, Theresa; Gelb, Anne; Platte, Rodrigo B.: Using $\ell _1$ regularization to improve numerical partial differential equation solvers (2018)
  12. Sharon, Nir; Shkolnisky, Yoel: Evaluating non-analytic functions of matrices (2018)
  13. Tabrizidooz, Hamid Reza; Shabanpanah, Khadigeh: Bernstein polynomial basis for numerical solution of boundary value problems (2018)
  14. Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.: Combined fractional variational problems of variable order and some computational aspects (2018)
  15. Townsend, Alex; Webb, Marcus; Olver, Sheehan: Fast polynomial transforms based on Toeplitz and Hankel matrices (2018)
  16. Townsend, Alex; Wilber, Heather: On the singular values of matrices with high displacement rank (2018)
  17. Adcock, Ben; Martín-Vaquero, Jesús; Richardson, Mark: Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities (2017)
  18. Aurentz, Jared L.; Trefethen, Lloyd N.: Chopping a Chebyshev series (2017)
  19. Aurentz, Jared L.; Trefethen, Lloyd N.: Block operators and spectral discretizations (2017)
  20. Berljafa, Mario; Güttel, Stefan: The RKFIT algorithm for nonlinear rational approximation (2017)

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