Stable release v5.5.0 / 1 July 2016 Type Numerical software Website www.chebfun.org | Written in MATLAB License BSD | |
Developer(s) The Chebfun Team,University of Oxford | ||
Chebfun is a free/open-source software system written in MATLAB for numerical computation with functions of a real variable. It is based on the idea of overloading MATLAB's commands for vectors and matrices to analogous commands for functions and operators. Thus, for example, whereas the SUM command in MATLAB adds up the elements of a vector, the SUM command in Chebfun evaluates a definite integral. Similarly the backslash command in MATLAB becomes a Chebfun command for solving differential equations.
Contents
The mathematical basis of Chebfun is numerical algorithms involving piecewise polynomial interpolants and Chebyshev polynomials, and this is where the name "Cheb" comes from. The package aims to combine the feel of symbolic computing systems like Maple and Mathematica with the speed of floating-point numerics.
The Chebfun project is based in the Mathematical Institute at the University of Oxford and was initiated in 2002 by Lloyd N. Trefethen and his student Zachary Battles. The most recent version, Version 5.5.0, was released on July 1, 2016.
Chebfun2, a software system that extends Chebfun to two dimensions, was made publicly available on the 4th of March 2013. Following Chebfun2, Spherefun (extension to the unit sphere) and Chebfun3 (extension to three dimensions) were made publicly available in May and July 2016.
Features
Example usage
A user may begin by initialising the variable x, on the interval [0,10], say.
This variable can now be used to perform further computations, for example, computing and plotting roots of a function:
The definite integral can be computed with: