chebfun-chebfun-v5.0.1-344-g1fc6e7a

所属分类:matlab编程
开发工具:matlab
文件大小:1943KB
下载次数:4
上传日期:2014-11-12 18:26:12
上 传 者monchin
说明:  Chebfun is an open-source software system for numerical computing with functions. The mathematical basis is piecewise polynomial interpolation implemented with what we call “Chebyshev technology”. The foundations are described, with Chebfun examples, in the book Approximation Theory and Approximation Practice (L. N. Trefethen, SIAM 2013). Chebfun has extensive capabilities for dealing with linear and nonlinear differential and integral operators, and also includes continuous analogues of linear algebra notions like QR and singular value decomposition. The Chebfun2 extension works with functions of two variables defined on a rectangle in the x-y plane.

文件列表:
chebfun-chebfun-1fc6e7a (0, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun (0, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun\adchebfun.m (57883, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun\domain.m (565, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun\taylorTesting.m (4400, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun\taylorTestingBinary.m (5135, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun\testUnary.m (1944, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun\valueTesting.m (1969, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun\valueTestingBinary.m (2804, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun2 (0, 2014-11-11)
chebfun-chebfun-1fc6e7a\@adchebfun2\adchebfun2.m (11491, 2014-11-11)
chebfun-chebfun-1fc6e7a\@blockCoeff (0, 2014-11-11)
chebfun-chebfun-1fc6e7a\@blockCoeff\blockCoeff.m (7399, 2014-11-11)
chebfun-chebfun-1fc6e7a\@blockFunction (0, 2014-11-11)
chebfun-chebfun-1fc6e7a\@blockFunction\blockFunction.m (6438, 2014-11-11)
chebfun-chebfun-1fc6e7a\@blockFunction\fred.m (1701, 2014-11-11)
chebfun-chebfun-1fc6e7a\@blockFunction\volt.m (2299, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun (0, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\bndfun.m (7287, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\changeMap.m (660, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\circconv.m (611, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\compose.m (3202, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\conv.m (13783, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\createMap.m (586, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\cumsum.m (2446, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\diff.m (1311, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\feval.m (366, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\flipud.m (469, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\innerProduct.m (1182, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\make.m (485, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\mldivide.m (1121, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\mrdivide.m (2165, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\plotData.m (1990, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\poly.m (2770, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\power.m (1507, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\qr.m (1451, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\restrict.m (2900, 2014-11-11)
chebfun-chebfun-1fc6e7a\@bndfun\sum.m (967, 2014-11-11)
chebfun-chebfun-1fc6e7a\@chebDiscretization (0, 2014-11-11)
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About ===== Chebfun is an open-source software system for numerical computing with functions. The mathematical basis of Chebfun is piecewise polynomial interpolation implemented with what we call “Chebyshev technology”. The foundations are described, with Chebfun examples, in the book _Approximation Theory and Approximation Practice_. Chebfun has extensive capabilities for dealing with linear and nonlinear differential and integral operators, and it also includes continuous analogues of linear algebra notions like QR and singular value decomposition. The Chebfun2 extension works with functions of two variables defined on a rectangle in the x-y plane. To get a sense of the breadth and power of Chebfun, a great place to start is by looking at our [Examples][1]. Installation and requirements ============================= Chebfun is compatible with MATLAB 7.8 (R2009a) and later. To install, you can either clone the directory with Git or download a .zip file. Note that a call to `clear classes` is required if you had a previous version of Chebfun installed. ## Option 1: Download .zip file Download a .zip of Chebfun from - https://github.com/chebfun/chebfun/archive/master.zip After unzipping, you will need to add Chebfun to the MATLAB path. You can do this either (a) by typing ``` addpath(chebfunroot), savepath ``` where `chebfunroot` is the path to the unzipped directory, (b) by selecting the `chebfun` directory with the `pathtool` command, or (c) though the File > Set Path... dialog from the MATLAB menubar. ## Option 2: Clone with Git To clone the Chebfun repository, first navigate in a terminal to where you want the repository cloned, then type ``` git clone https://github.com/chebfun/chebfun.git ``` To use Chebfun in MATLAB, you will need to add the `chebfun` directory to the MATLAB path as above. Getting started =============== We recommend taking a look at the [Chebfun Guide][2] and the [Examples collection][1]. The Guide is an in-depth tour of Chebfun's mathematical capabilities. The Examples, which number well over one hundred, illustrate everything from rootfinding to optimization to nonlinear differential equations and vector calculus. Many users use the Examples as templates for their own problems. To get a taste of what computing with Chebfun is like, type ``` x = chebfun('x'); ``` and start playing. The variable `x` is a chebfun and can be manipulated in a way that feels symbolic, although everything Chebfun does is numeric. So try, for instance: ``` f = sin(12*x).*exp(-x); % A function on [-1, 1] g = max(f, 1./(x+2)); % The max of f and 1./(x+2) plot(g) % A function with discontinuous derivative sum(g) % The integral of g plot(diff(g)) % The derivative of g h = g + x - .8; % A function with several roots in [-1, 1] rr = roots(h); % Compute the roots of h plot(h, 'k', rr, h(rr), 'ro') % Plot h and its roots ``` License ======= See `LICENSE.txt` for Chebfun's licensing information. [1]: http://www.chebfun.org/examples/ [2]: http://www.chebfun.org/docs/guide/

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