pyodeint 0.10.8

Documentation

Autogenerated API documentation for latest stable release is found here: https://bjodah.github.io/pyodeint/latest (and the development version for the current master branch are found here: http://hera.physchem.kth.se/~pyodeint/branches/master/html).

Installation

Simplest way to install is to use the conda package manager:

$ conda install -c conda-forge pyodeint pytest
$ python -m pytest --pyargs pyodeint

tests should pass.

Binary distribution is available here: https://anaconda.org/bjodah/pyodeint

Source distribution is available here: https://pypi.python.org/pypi/pyodeint

here is an example of how to build from source:

$ CPATH=/opt/boost_1_65_0/include python3 setup.py build_ext -i

Examples

The classic van der Pol oscillator (see examples/van_der_pol.py)

>>> from pyodeint import integrate_adaptive  # also: integrate_predefined
>>> mu = 1.0
>>> def f(t, y, dydt):
...     dydt[0] = y[1]
...     dydt[1] = -y[0] + mu*y[1]*(1 - y[0]**2)
...
>>> def j(t, y, Jmat, dfdt, fy=None):
...     Jmat[0, 0] = 0
...     Jmat[0, 1] = 1
...     Jmat[1, 0] = -1 -mu*2*y[1]*y[0]
...     Jmat[1, 1] = mu*(1 - y[0]**2)
...     dfdt[0] = 0
...     dfdt[1] = 0
...
>>> y0 = [1, 0]; tend=10.0; dt0=1e-8; t0=0.0; atol=1e-8; rtol=1e-8
>>> tout, yout, info = integrate_adaptive(f, j, y0, t0, tend, dt0, atol, rtol,
...                                       method='rosenbrock4', nsteps=1000)
>>> import matplotlib.pyplot as plt
>>> series = plt.plot(tout, yout)
>>> plt.show()  # doctest: +SKIP

For more examples see examples/, and rendered jupyter notebooks here: http://hera.physchem.kth.se/~pyodeint/branches/master/examples

See also

pyodesys for how to automatically generate the jacobian callback function (and easily swtich to other solvers).

License

The source code is Open Source and is released under the very permissive “simplified (2-clause) BSD license”. See LICENSE for further details. Contributors are welcome to suggest improvements at https://github.com/bjodah/pyodeint

Author

Björn I. Dahlgren, contact:

• gmail address: bjodah