Chebfun

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: http://freecode.com/)


References in zbMATH (referenced in 304 articles , 2 standard articles )

Showing results 21 to 40 of 304.
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  1. Glau, Kathrin; Mahlstedt, Mirco; Pötz, Christian: A new approach for American option pricing: the dynamic Chebyshev method (2019)
  2. Gopal, Abinand; Trefethen, Lloyd N.: Representation of conformal maps by rational functions (2019)
  3. Gorodetsky, Alex; Karaman, Sertac; Marzouk, Youssef: A continuous analogue of the tensor-train decomposition (2019)
  4. Hart, Joseph L.; Gremaud, Pierre A.: Robustness of the Sobol’ indices to marginal distribution uncertainty (2019)
  5. Hashemi, Behnam: Enclosing Chebyshev expansions in linear time (2019)
  6. Houska, Boris; Chachuat, Benoît: Global optimization in Hilbert space (2019)
  7. Krause, Andrew L.; Ellis, Meredith A.; Van Gorder, Robert A.: Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds (2019)
  8. Lambers, James V.; Sumner, Amber C.: Explorations in numerical analysis (2019)
  9. Li, Bin; Xiang, Shuhuang: Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels (2019)
  10. Li, Hengguang; Mollapourasl, Reza; Haghi, Majid: A local radial basis function method for pricing options under the regime switching model (2019)
  11. Li, Min; Huang, Chengming: The linear barycentric rational quadrature method for auto-convolution Volterra integral equations (2019)
  12. MacNamara, Shev; McLean, William; Burrage, Kevin: Wider contours and adaptive contours (2019)
  13. Massei, Stefano; Mazza, Mariarosa; Robol, Leonardo: Fast solvers for two-dimensional fractional diffusion equations using rank structured matrices (2019)
  14. McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming: Convection in a coupled free flow-porous media system (2019)
  15. Mortari, Daniele; Johnston, Hunter; Smith, Lidia: High accuracy least-squares solutions of nonlinear differential equations (2019)
  16. Paganini, Alberto; Sturm, Kevin: Weakly normal basis vector fields in RKHS with an application to shape Newton methods (2019)
  17. Papp, Dávid; Yildiz, Sercan: Sum-of-squares optimization without semidefinite programming (2019)
  18. Piazzon, Federico: Pluripotential numerics (2019)
  19. Potschka, Andreas: Backward step control for Hilbert space problems (2019)
  20. Raissi, M.; Perdikaris, P.; Karniadakis, G. E.: Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations (2019)

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Further publications can be found at: http://www.chebfun.org/publications/