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 313 articles , 2 standard articles )

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  1. Allen, Larry; Kirby, Robert C.: Structured inversion of the Bernstein mass matrix (2020)
  2. Askham, Travis; Rachh, Manas: A boundary integral equation approach to computing eigenvalues of the Stokes operator (2020)
  3. Berrut, Jean-Paul; Elefante, Giacomo: A periodic map for linear barycentric rational trigonometric interpolation (2020)
  4. Breden, Maxime; Kuehn, Christian: Computing invariant sets of random differential equations using polynomial chaos (2020)
  5. Bu, Ling-Ze; Zhao, Wei; Wang, Wei: Tensor train-Karhunen-Loève expansion: new theoretical and algorithmic frameworks for representing general non-Gaussian random fields (2020)
  6. Crespo, S.; Fasondini, M.; Klein, C.; Stoilov, N.; Vallée, C.: Multidomain spectral method for the Gauss hypergeometric function (2020)
  7. 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)
  8. Gutleb, Timon S.; Olver, Sheehan: A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle (2020)
  9. Hofreither, Clemens: A unified view of some numerical methods for fractional diffusion (2020)
  10. Horning, Andrew; Townsend, Alex: FEAST for differential eigenvalue problems (2020)
  11. Magherini, Cecilia: A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint (2020)
  12. Matharu, Pritpal; Protas, Bartosz: Optimal closures in a simple model for turbulent flows (2020)
  13. Nakatsukasa, Yuji: Sharp error bounds for Ritz vectors and approximate singular vectors (2020)
  14. Opmeer, Mark R.: Decay of singular values for infinite-dimensional systems with Gevrey regularity (2020)
  15. Pan, Jiajia; Li, Huiyuan: A new collocation method using near-minimal Chebyshev quadrature nodes on a square (2020)
  16. Trefethen, Lloyd N.: Approximation theory and approximation practice (2020)
  17. Trefethen, Lloyd N.: Eight perspectives on the exponentially ill-conditioned equation (\varepsilony” - x y’ + y = 0) (2020)
  18. Webb, Marcus; Coppé, Vincent; Huybrechs, Daan: Pointwise and uniform convergence of Fourier extensions (2020)
  19. Xiang, Shuhuang; Liu, Guidong: Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities (2020)
  20. Zhou, Maoying; Fu, Yang; Wang, Ban; Ji, Huawei: Investigation upon the performance of piezoelectric energy harvester with elastic extensions (2020)

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