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 327 articles , 2 standard articles )

Showing results 1 to 20 of 327.
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  1. Mourrain, Bernard; Telen, Simon; Van Barel, Marc: Truncated normal forms for solving polynomial systems: generalized and efficient algorithms (2021)
  2. Abdi, Ali; Hosseini, Seyyed Ahmad; Podhaisky, Helmut: Numerical methods based on the Floater-Hormann interpolants for stiff VIEs (2020)
  3. Allen, Larry; Kirby, Robert C.: Structured inversion of the Bernstein mass matrix (2020)
  4. Askham, Travis; Rachh, Manas: A boundary integral equation approach to computing eigenvalues of the Stokes operator (2020)
  5. Berrut, Jean-Paul; Elefante, Giacomo: A periodic map for linear barycentric rational trigonometric interpolation (2020)
  6. Boullé, Nicolas; Townsend, Alex: Computing with functions in the ball (2020)
  7. Breden, Maxime; Kuehn, Christian: Computing invariant sets of random differential equations using polynomial chaos (2020)
  8. 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)
  9. Chan, Tat Lung (Ron): An SFP-FCC method for pricing and hedging early-exercise options under Lévy processes (2020)
  10. Chan, Tat Lung (Ron); Hale, Nicholas: Pricing European-type, early-exercise and discrete barrier options using an algorithm for the convolution of Legendre series (2020)
  11. Crespo, S.; Fasondini, M.; Klein, C.; Stoilov, N.; Vallée, C.: Multidomain spectral method for the Gauss hypergeometric function (2020)
  12. 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)
  13. Glau, Kathrin; Kressner, Daniel; Statti, Francesco: Low-rank tensor approximation for Chebyshev interpolation in parametric option pricing (2020)
  14. Gutleb, Timon S.; Olver, Sheehan: A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle (2020)
  15. Hofreither, Clemens: A unified view of some numerical methods for fractional diffusion (2020)
  16. Horning, Andrew; Townsend, Alex: FEAST for differential eigenvalue problems (2020)
  17. Magherini, Cecilia: A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint (2020)
  18. Matharu, Pritpal; Protas, Bartosz: Optimal closures in a simple model for turbulent flows (2020)
  19. Moutsinga, Claude Rodrigue Bambe; Pindza, Edson; Maré, Eben: A time multidomain spectral method for valuing affine stochastic volatility and jump diffusion models (2020)
  20. Nakatsukasa, Yuji: Sharp error bounds for Ritz vectors and approximate singular vectors (2020)

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