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Python binding for odeiv2 in GNU Scientific Library (GSL).

Project description

Build status PyPI version License

pygslodeiv2 provides a Python binding to the Ordinary Differential Equation integration routines exposed by the odeiv2 interface of GSL - GNU Scientific Library. The odeiv2 interface allows a user to numerically integrate (systems of) differential equations.

The following stepping functions are available:

  • rk2
  • rk4
  • rkf45
  • rkck
  • rk8pd
  • rk1imp
  • rk2imp
  • rk4imp
  • bsimp
  • msadams
  • msbdf

Note that all implicit steppers (those ending with “imp”) and msbdf require a user supplied callback for calculating the jacobian.


Autogenerated API documentation is found here:


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

$ conda install -c bjodah pygslodeiv2 pytest
$ python -m pytest --pyargs pygslodeiv2

tests should pass.

Binary distribution is available here:

Source distribution is available here (requires GSL v1.16 shared lib with headers):


The classic van der Pol oscillator (see examples/

>>> import numpy as np
>>> from pygslodeiv2 import integrate_predefined  # also: integrate_adaptive
>>> 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):
...     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]; dt0=1e-8; t0=0.0; atol=1e-8; rtol=1e-8
>>> tout = np.linspace(0, 10.0, 200)
>>> yout, info = integrate_predefined(f, j, y0, tout, dt0, atol, rtol,
...                                   method='bsimp')  # Implicit Bulirsch-Stoer
>>> import matplotlib.pyplot as plt
>>> series = plt.plot(tout, yout)
>>>  # doctest: +SKIP


The source code is Open Source and is released under GNU GPL v3. See LICENSE for further details. Contributors are welcome to suggest improvements at


Björn I. Dahlgren, contact:

  • gmail address: bjodah
  • address: bda

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