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 304 articles , 2 standard articles )

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  1. Sánchez-Garduño, Faustino; Krause, Andrew L.; Castillo, Jorge A.; Padilla, Pablo: Turing-Hopf patterns on growing domains: the torus and the sphere (2019)
  2. Seibold, Benjamin; Shirokoff, David; Zhou, Dong: Unconditional stability for multistep ImEx schemes: practice (2019)
  3. Takayasu, Akitoshi; Yoon, Suro; Endo, Yasunori: Rigorous numerical computations for 1D advection equations with variable coefficients (2019)
  4. Weideman, J. A. C.: Gauss-Hermite quadrature for the Bromwich integral (2019)
  5. Wei, Shiyin; Jin, Xiaowei; Li, Hui: General solutions for nonlinear differential equations: a rule-based self-learning approach using deep reinforcement learning (2019)
  6. Abdi, Ali; Berrut, Jean-Paul; Hosseini, Seyyed Ahmad: The linear barycentric rational method for a class of delay Volterra integro-differential equations (2018)
  7. Abdi, Ali; Hosseini, Seyyed Ahmad: The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations (2018)
  8. Aiton, Kevin W.; Driscoll, Tobin A.: An adaptive partition of unity method for Chebyshev polynomial interpolation (2018)
  9. Ament, Sebastian; O’Neil, Michael: Accurate and efficient numerical calculation of stable densities via optimized quadrature and asymptotics (2018)
  10. Birkisson, Ásgeir: Automatic reformulation of odes to systems of first-order equations (2018)
  11. Boulton, Lyonell; Schroers, Bernd J.; Smedley-Williams, Kim: Quantum bound states in Yang-Mills-Higgs theory (2018)
  12. Courtier, N. E.; Richardson, G.; Foster, J. M.: A fast and robust numerical scheme for solving models of charge carrier transport and ion vacancy motion in perovskite solar cells (2018)
  13. de Klerk, Etienne; Laurent, Monique: Comparison of Lasserre’s measure-based bounds for polynomial optimization to bounds obtained by simulated annealing (2018)
  14. Fasi, Massimiliano; Iannazzo, Bruno: Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector (2018)
  15. Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard: Rational minimax approximation via adaptive barycentric representations (2018)
  16. Foucart, Simon; Lasserre, Jean B.: Determining projection constants of univariate polynomial spaces (2018)
  17. Gaß, Maximilian; Glau, Kathrin; Mahlstedt, Mirco; Mair, Maximilian: Chebyshev interpolation for parametric option pricing (2018)
  18. Gheorghiu, Călin-Ioan: On the numerical treatment of the eigenparameter dependent boundary conditions (2018)
  19. Gheorghiu, Călin-Ioan: Spectral collocation solutions to problems on unbounded domains (2018)
  20. Gorodetsky, Alex A.; Jakeman, John D.: Gradient-based optimization for regression in the functional tensor-train format (2018)

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