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Chebyshev polynomial based spectral methods of PDEs.

Project description


**chebpy** is a python package for spetral methods of PDEs based on
Chebyshev series.


1. Install


$ easy_install chebpy



$ tar -xvf chebpy-xxx.tar.gz
$ cd chebpy-xxx
$ python install

Required packages:

* `numpy`: chebpy heavily depends on numpy.
* `scipy`: advanced algorithms, such as scipy.fftpack.dct.

2. APIs
Current available functions:

**Chebyshev series construction**

* cheb_polynomial_recursion
* cheb_polynomial_trigonometric
* cheb_polynomial_series

**Fast Chebyshev transform**

* cheb_fast_transform
* cheb_inverse_fast_transform

**Chebyshev differentiation**

* cheb_D1_mat
* cheb_D1_fft
* cheb_D1_dct
* cheb_D1_fchebt

**Chebyshev interpolation**

* cheb_interpolation_point
* cheb_interpolation_1d
* cheb_interpolation_2d

**Chebyshev quadrature**

* cheb_quadrature_clencurt
* cheb_quadrature_cgl

**Chebyshev applications in solution of PDEs**

* cheb_mde_split
* cheb_mde_neumann_split
* cheb_mde_etdrk4
* cheb_mde_neumann_etdrk4
* cheb_mde_robin_etdrk4
* cheb_allen_cahn_etdrk4

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* `Website <>`_
* `Development version <>`_

Project details

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