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 191 articles , 1 standard article )

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  1. Gheorghiu, Călin-Ioan: On the numerical treatment of the eigenparameter dependent boundary conditions (2018)
  2. Tabrizidooz, Hamid Reza; Shabanpanah, Khadigeh: Bernstein polynomial basis for numerical solution of boundary value problems (2018)
  3. Adcock, Ben; Martín-Vaquero, Jesús; Richardson, Mark: Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities (2017)
  4. Aurentz, Jared L.; Trefethen, Lloyd N.: Block operators and spectral discretizations (2017)
  5. Berljafa, Mario; Güttel, Stefan: The RKFIT algorithm for nonlinear rational approximation (2017)
  6. Bos, L.; De Marchi, S.; Vianello, M.: Polynomial approximation on Lissajous curves in the $d$-cube (2017)
  7. Chapman, S.J.; Farrell, Patrick E.: Analysis of Carrier’s problem (2017)
  8. Choi, Sou-Cheng T.; Ding, Yuhan; Hickernell, Fred J.; Tong, Xin: Local adaption for approximation and minimization of univariate functions (2017)
  9. Després, Bruno: Polynomials with bounds and numerical approximation (2017)
  10. Elgindy, Kareem T.: High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures (2017)
  11. Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael: A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations (2017)
  12. Georgieva, I.; Hofreither, C.: An algorithm for low-rank approximation of bivariate functions using splines (2017)
  13. Gera, P.; Salac, D.: Cahn-Hilliard on surfaces: a numerical study (2017)
  14. Hashemi, Behnam; Trefethen, Lloyd N.: Chebfun in three dimensions (2017)
  15. Hohenegger, Christel; McKinley, Scott A.: Fluid-particle dynamics for passive tracers advected by a thermally fluctuating viscoelastic medium (2017)
  16. Kao, Chiu-Yen; Lai, Rongjie; Osting, Braxton: Maximization of Laplace-Beltrami eigenvalues on closed Riemannian surfaces (2017)
  17. Kressner, Daniel; Periša, Lana: Recompression of Hadamard products of tensors in Tucker format (2017)
  18. Lawrence, Piers W.; Pérez, Javier: Constructing strong linearizations of matrix polynomials expressed in Chebyshev bases (2017)
  19. Liu, Guidong; Xiang, Shuhuang: Fast multipole methods for approximating a function from sampling values (2017)
  20. Mireles James, J.D.; Murray, Maxime: Chebyshev-Taylor parameterization of stable/unstable manifolds for periodic orbits: implementation and applications (2017)

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