pyodesys 0.5.3

Straightforward numerical integration of ODE systems from SymPy.

pyodesys
========

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`pyodesys <https://github.com/bjodah/pyodesys>`_ provides a straightforward way
of numerically integrating systems of ordinary differential equations. It unifies
the interface of several libraries. It also provides a convenience class for
representing and integrating ODE systems defined by `SymPy <http://www.sympy.org>`_
expressions.

The numerical integration is perfomed using eiher:

- `scipy.integrate.ode <http://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.ode.html>`_
- `pygslodeiv2 <https://github.com/bjodah/pygslodeiv2>`_
- `pyodeint <https://github.com/bjodah/pyodeint>`_
- `pycvodes <https://github.com/bjodah/pycvodes>`_


Note that implicit steppers which require a user supplied
callback for calculating the jacobian is provided automatically by pyodesys.

Documentation
-------------
Autogenerated API documentation for latest stable release is found here:
`<https://pythonhosted.org/pyodesys>`_
(and development docs for the current master branch are found here:
`<http://hera.physchem.kth.se/~pyodesys/branches/master/html>`_).


Installation
------------
Simplest way to install pyodesys and its (optional) dependencies is to use the `conda package manager <http://conda.pydata.org/docs/>`_:

::

$ conda install -c bjodah pyodesys pytest
$ python -m pytest --pyargs pyodesys

alternatively you may also use `pip`:

::

$ python -m pip install --user pyodesys[all]

see `setup.py`_ for optional requirements.

Source distribution is available here:
`<https://pypi.python.org/pypi/pyodesys>`_

Example
-------
The classic van der Pol oscillator (see `examples/van_der_pol.py <examples/van_der_pol.py>`_)

.. code:: python

>>> from pyodesys.symbolic import SymbolicSys
>>> def f(t, y, p):
... return [y[1], -y[0] + p[0]*y[1]*(1 - y[0]**2)]
...
>>> odesys = SymbolicSys.from_callback(f, 2, 1)
>>> xout, yout, info = odesys.integrate(10, [1, 0], [1], integrator='odeint')
>>> _ = odesys.plot_result()
>>> import matplotlib.pyplot as plt; plt.show() # doctest: +SKIP

.. image:: https://raw.githubusercontent.com/bjodah/pyodesys/master/examples/van_der_pol.png

for more examples, see `examples/ <https://github.com/bjodah/pyodesys/tree/master/examples>`_, and rendered jupyter notebooks here:
`<http://hera.physchem.kth.se/~pyodesys/branches/master/examples>`_

License
-------
The source code is Open Source and is released under the simplified 2-clause BSD license. See `LICENSE <LICENSE>`_ for further details.
Contributors are welcome to suggest improvements at https://github.com/bjodah/pyodesys

Author
------
Björn I. Dahlgren, contact:

- gmail address: bjodah
- kth.se address: bda