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pyCollocation ============= |Build Status| |Coverage Status| |Development Status| |Downloads| |DOI| .. |Build Status| image:: https://travis-ci.org/davidrpugh/pyCollocation.svg?branch=master :target: https://travis-ci.org/davidrpugh/pyCollocation .. |Coverage Status| image:: https://coveralls.io/repos/davidrpugh/pyCollocation/badge.svg?branch=master :target: https://coveralls.io/r/davidrpugh/pyCollocation?branch=master .. |Development Status| image:: https://pypip.in/status/pyCollocation/badge.svg :target: https://pypi.python.org/pypi/pyCollocation/ .. |Latest Version] image:: https://pypip.in/version/pyCollocation/badge.svg :target: https://pypi.python.org/pypi/pyCollocation/ .. |Downloads| image:: https://pypip.in/download/pyCollocation/badge.svg :target: https://pypi.python.org/pypi/pyCollocation/ .. |DOI| image:: https://zenodo.org/badge/doi/10.5281/zenodo.16761.svg :target: http://dx.doi.org/10.5281/zenodo.16761 Python package for solving initial value problems (IVP) and two-point boundary value problems (2PBVP) using the collocation method with various basis functions. Currently I have implemented the following basis functions: - Orthogonal polynomials: Chebyshev_, Laguerre_, Legendre_, and Hermite_. .. _Chebyshev: http://en.wikipedia.org/wiki/Chebyshev_polynomials .. _Laguerre: http://en.wikipedia.org/wiki/Laguerre_polynomials .. _Legendre: http://en.wikipedia.org/wiki/Legendre_polynomials .. _Hermite: http://en.wikipedia.org/wiki/Hermite_polynomials Installation ------------ Assuming you have `pip`_ on your computer (as will be the case if you've `installed Anaconda`_) you can install the latest stable release of ``pycollocation`` by typing .. code:: bash pip install pycollocation at a terminal prompt. .. _pip: https://pypi.python.org/pypi/pip .. _`installed Anaconda`: http://quant-econ.net/getting_started.html#installing-anaconda Example notebooks ----------------- Economics ~~~~~~~~~ There are a number of example notebooks that demonstrate how to use the library to solve seminal models in the economics literature. - `Solow model of economic growth`_ - `Ramsey model of optimal savings`_ - `Spence model of costly signaling`_ - `Kiyotaki and Moore model of credit cycles`_ .. _`Solow model of economic growth`: http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/solow-model.ipynb .. _`Ramsey model of optimal savings`: http://nbviewer.ipython.org/github/ramseyPy/ramseyPy/blob/master/examples/ramsey-model.ipynb .. _`Spence model of costly signaling`: http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/spence-model.ipynb .. _`Kiyotaki and Moore model of credit cycles`: http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/credit-cycles.ipynb Physics ~~~~~~~ - `A simple heat exchanger`_ .. _`A simple heat exchanger`: http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/heat-exchanger.ipynb More notebooks will be added in the near future (hopefully!)