Metadata-Version: 1.1
Name: cubature
Version: 0.14.3
Summary: Numerical integration technique
Home-page: https://github.com/saullocastro/cubature
Author: Saullo G. P. Castro and Anton Loukianov
Author-email: saullogiovani@gmail.com
License: GNU-GPL
Description: .. image:: https://raw.github.com/saullocastro/cubature/master/cubature_logo.png
            :align: center
        
        ========
        Cubature
        ========
        
        |Build status|
        
        .. |Build status| image:: https://travis-ci.org/saullocastro/cubature.svg?branch=master
            :target: https://travis-ci.org/saullocastro/cubature
        
        |Coverage|
        
        .. |Coverage| image:: https://coveralls.io/repos/github/saullocastro/cubature/badge.svg?branch=master
             :target: https://coveralls.io/github/saullocastro/cubature?branch=master
        
        
        **Note**: Coverage not taking into account Cython / C files
        
        
            
        .. contents::
        
        
        What is Cubature?
        -----------------
        
        It is a numerical integration technique.  From
        `MathWorld <http://mathworld.wolfram.com/Cubature.html>`_,
        Ueberhuber (1997, p. 71) and Krommer and Ueberhuber
        (1998, pp. 49 and 155-165) use the word "quadrature" to mean numerical
        computation of a univariate integral, and "cubature" to mean numerical
        computation of a multiple integral.
        
        Documentation
        -------------
        
        Please, `see the module documentation here
        <http://saullocastro.github.io/cubature/>`_.
        
        Python wrapper for the Cubature package
        ---------------------------------------
        
        From the `Nanostructures and Computation Wiki at MIT
        <http://ab-initio.mit.edu/wiki/index.php/Cubature>`_, `Steven W. Johnson
        <http://math.mit.edu/~stevenj/>`_ has written a simple C package for
        adaptive multidimensional integration (cubature) of vector-valued
        functions over hypercubes and this is a
        Python wrapper for the referred C package.
        
        Installation
        ------------
        
        Installation from source code
        ...
        
        You must have Cython installed. Then do::
        
           python setup.py install 
        
        or (usually in Linux)::
        
           python3 setup.py install
        
        
        Installation from pip repository
        ...
        
        Just do::
        
           pip install cubature
        
        or (usually in Linux)::
        
           pip3 install cubature
        
        
        Running the tests
        -----------------
        
        To run the tests you will have to download the source code. After installing as
        explained above, go to the source code root folder and run::
        
            py.test .
        
        The Python wrapper has been proven using test integrands from the C
        package and some additional testing functions from Genz. The integrands
        were implemented in Cython and verified with Mathematica.
        
        
        Citing this Python wrapper for Cubature
        ---------------------------------------
        
        We kindly ask you to cite this Python library properly. Also, it would be
        helpful if you could cite the papers where this methods has been applied as
        well.
        
        Castro, S.G.P.; Loukianov, A.; et al. "Python wrapper for Cubature: adaptive multidimensional integration". DOI:10.5281/zenodo.2541552. Version 0.14.3, 2020.
        
        
        
        Citing Papers using this Python wrapper for Cubature
        .....................................................
        
        Used to integrate tangent stiffness matrices in computational solid mechanics
        
        Castro, S.G.P. et al. "Evaluation of non-linear buckling loads of geometrically imperfect composite cylinders and cones with the Ritz method". Composite Structures, Vol. 122, 284-299, 2015.
        
        Castro, S.G.P. et al. "A semi-analytical approach for linear and non-linear analysis of unstiffened laminated composite cylinders and cones under axial, torsion and pressure loads". Thin-Walled Structures, Vol. 90, 61-73, 2015.
        
        Examples
        --------
        
        Some examples are given in `./examples <https://github.com/saullocastro/cubature/tree/master/examples>`_.
        
        
        Fork me!
        --------
        
        You are welcome to fork this repository and modify it in whatever way you
        want. It will also be nice if you could send a pull request here in case
        you think your modifications are valuable for another person.
        
        License
        -------
        
        This wrapper follows the GNU-GPL license terms of Steven G. Johnson described in the `C Package <https://github.com/saullocastro/cubature/tree/master/cubature/cpackage/COPYING>`_.
        
Keywords: numerical integration,integration,multi-dimensional integration
Platform: UNKNOWN
Classifier: Development Status :: 5 - Production/Stable
Classifier: Intended Audience :: Science/Research
Classifier: Intended Audience :: Developers
Classifier: Intended Audience :: Education
Classifier: Topic :: Scientific/Engineering :: Mathematics
Classifier: License :: OSI Approved :: BSD License
Classifier: Programming Language :: Python :: 3.5
Classifier: Programming Language :: Python :: 3.6
Classifier: Programming Language :: Python :: 3.7
Classifier: Programming Language :: Python :: 3.8
Classifier: Operating System :: Microsoft :: Windows
Classifier: Operating System :: Unix
