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 241 articles , 2 standard articles )

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  1. Lambers, James V.; Sumner, Amber C.: Explorations in numerical analysis (2019)
  2. Abdi, Ali; Berrut, Jean-Paul; Hosseini, Seyyed Ahmad: The linear barycentric rational method for a class of delay Volterra integro-differential equations (2018)
  3. Abdi, Ali; Hosseini, Seyyed Ahmad: The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations (2018)
  4. Aiton, Kevin W.; Driscoll, Tobin A.: An adaptive partition of unity method for Chebyshev polynomial interpolation (2018)
  5. Ament, Sebastian; O’Neil, Michael: Accurate and efficient numerical calculation of stable densities via optimized quadrature and asymptotics (2018)
  6. Birkisson, Ásgeir: Automatic reformulation of odes to systems of first-order equations (2018)
  7. Boulton, Lyonell; Schroers, Bernd J.; Smedley-Williams, Kim: Quantum bound states in Yang-Mills-Higgs theory (2018)
  8. Fasi, Massimiliano; Iannazzo, Bruno: Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector (2018)
  9. Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard: Rational minimax approximation via adaptive barycentric representations (2018)
  10. Foucart, Simon; Lasserre, Jean B.: Determining projection constants of univariate polynomial spaces (2018)
  11. Gaß, Maximilian; Glau, Kathrin; Mahlstedt, Mirco; Mair, Maximilian: Chebyshev interpolation for parametric option pricing (2018)
  12. Gheorghiu, Călin-Ioan: On the numerical treatment of the eigenparameter dependent boundary conditions (2018)
  13. Gheorghiu, Călin-Ioan: Spectral collocation solutions to problems on unbounded domains (2018)
  14. Grover, Piyush; Bakshi, Kaivalya; Theodorou, Evangelos A.: A mean-field game model for homogeneous flocking (2018)
  15. Hale, Nicholas; Olver, Sheehan: A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations (2018)
  16. Hashemi, Behnam; Nakatsukasa, Yuji: On the spectral problem for trivariate functions (2018)
  17. Hrycak, Tomasz; Schmutzhard, Sebastian: Evaluation of Chebyshev polynomials by a three-term recurrence in floating-point arithmetic (2018)
  18. Ito, Shinji; Nakatsukasa, Yuji: Stable polefinding and rational least-squares fitting via eigenvalues (2018)
  19. Khoromskaia, Venera; Khoromskij, Boris N.: Tensor numerical methods in quantum chemistry (2018)
  20. Kozdon, Jeremy E.; Wilcox, Lucas C.: An energy stable approach for discretizing hyperbolic equations with nonconforming discontinuous Galerkin methods (2018)

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