{ "info": { "author": "Bjoern I. Dahlgren", "author_email": "bjodah@gmail.com", "bugtrack_url": null, "classifiers": [ "Development Status :: 4 - Beta", "License :: OSI Approved :: GNU General Public License v3 (GPLv3)", "Operating System :: OS Independent", "Topic :: Scientific/Engineering", "Topic :: Scientific/Engineering :: Mathematics" ], "description": "pygslodeiv2\n===========\n\n.. image:: http://hera.physchem.kth.se:9090/api/badges/bjodah/pygslodeiv2/status.svg\n :target: http://hera.physchem.kth.se:9090/bjodah/pygslodeiv2\n :alt: Build status\n.. image:: https://circleci.com/gh/bjodah/pygslodeiv2.svg?style=svg\n :target: https://circleci.com/gh/bjodah/pygslodeiv2\n :alt: Build status on CircleCI\n.. image:: https://secure.travis-ci.org/bjodah/pygslodeiv2.svg?branch=master\n :target: http://travis-ci.org/bjodah/pygslodeiv2\n :alt: Build status on Travis-CI\n.. image:: https://img.shields.io/pypi/v/pygslodeiv2.svg\n :target: https://pypi.python.org/pypi/pygslodeiv2\n :alt: PyPI version\n.. image:: https://img.shields.io/badge/python-2.7,3.4,3.5-blue.svg\n :target: https://www.python.org/\n :alt: Python version\n.. image:: https://img.shields.io/pypi/l/pygslodeiv2.svg\n :target: https://github.com/bjodah/pygslodeiv2/blob/master/LICENSE\n :alt: License\n.. image:: http://hera.physchem.kth.se/~pygslodeiv2/branches/master/htmlcov/coverage.svg\n :target: http://hera.physchem.kth.se/~pygslodeiv2/branches/master/htmlcov\n :alt: coverage\n.. image:: https://zenodo.org/badge/41481237.svg\n :target: https://zenodo.org/badge/latestdoi/41481237\n :alt: Zenodo DOI\n\n\n`pygslodeiv2 `_ provides a\n`Python `_ binding to the\n`Ordinary Differential Equation `_\nintegration routines exposed by the `odeiv2 interface `_ of\n`GSL - GNU Scientific Library `_.\nThe odeiv2 interface allows a user to numerically integrate (systems of) differential equations.\n\nThe following `stepping functions `_ are available:\n\n- rk2\n- rk4\n- rkf45\n- rkck\n- rk8pd\n- rk1imp\n- rk2imp\n- rk4imp\n- bsimp\n- msadams\n- msbdf\n\nNote that all implicit steppers (those ending with \"imp\") and msbdf require a user supplied\ncallback for calculating the jacobian.\n\nYou may also want to know that you can use ``pygslodeiv2`` from\n`pyodesys `_\nwhich can e.g. derive the Jacobian analytically (using SymPy). ``pyodesys`` also provides\nplotting functions, C++ code-generation and more.\n\nDocumentation\n-------------\nAutogenerated API documentation for latest stable release is found here:\n``_\n(and the development version for the current master branch are found here:\n``_).\n\nInstallation\n------------\nSimplest way to install is to use the `conda package manager `_:\n\n::\n\n $ conda install -c bjodah pygslodeiv2 pytest\n $ python -m pytest --pyargs pygslodeiv2\n\ntests should pass.\n\nBinary distribution is available here:\n``_, conda recipes for stable releases are available here: \n``_.\n\nSource distribution is available here (requires GSL v1.16 or v2.1 shared lib with headers):\n``_ (with mirrored files kept here:\n``_)\n\nExamples\n--------\nThe classic van der Pol oscillator (see `examples/van_der_pol.py `_)\n\n.. code:: python\n\n >>> import numpy as np\n >>> from pygslodeiv2 import integrate_predefined # also: integrate_adaptive\n >>> mu = 1.0\n >>> def f(t, y, dydt):\n ... dydt[0] = y[1]\n ... dydt[1] = -y[0] + mu*y[1]*(1 - y[0]**2)\n ... \n >>> def j(t, y, Jmat, dfdt):\n ... Jmat[0, 0] = 0\n ... Jmat[0, 1] = 1\n ... Jmat[1, 0] = -1 -mu*2*y[1]*y[0]\n ... Jmat[1, 1] = mu*(1 - y[0]**2)\n ... dfdt[0] = 0\n ... dfdt[1] = 0\n ...\n >>> y0 = [1, 0]; dt0=1e-8; t0=0.0; atol=1e-8; rtol=1e-8\n >>> tout = np.linspace(0, 10.0, 200)\n >>> yout, info = integrate_predefined(f, j, y0, tout, dt0, atol, rtol,\n ... method='bsimp') # Implicit Bulirsch-Stoer\n >>> import matplotlib.pyplot as plt\n >>> series = plt.plot(tout, yout)\n >>> plt.show() # doctest: +SKIP\n\n\n.. image:: https://raw.githubusercontent.com/bjodah/pygslodeiv2/master/examples/van_der_pol.png\n\nFor more examples see `examples/ `_, and rendered jupyter notebooks here:\n``_\n\n\nLicense\n-------\nThe source code is Open Source and is released under GNU GPL v3. See `LICENSE `_ for further details.\nContributors are welcome to suggest improvements at https://github.com/bjodah/pygslodeiv2\n\nAuthor\n------\nBj\u00f6rn I. 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