Chebfun is a collection of algorithms and an open-source software system in object-oriented MATLAB which 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. For the mathematical foundations of Chebfun, see Approximation Theory and Approximation Practice.

News:

Three Chebfun2 examples: (For more, see Chebfun2 Examples and the Chebfun2 Guide)

New Chebfun Examples: (more available here)

Exponential Distribution -- Exercises from a Textbook

Jie Gao and Nick Trefethen, 6th May 2013

Normal Distribution -- Exercises from a Textbook

Jie Gao and Nick Trefethen, 23rd April 2013

Lorenz Attractor in the Complex Plane using RATINTERP

Marcus Webb, 10th March 2013

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