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image:: https://github.com/Microno95/desolver/actions/workflows/pytest-ubuntu.yml/badge.svg\n   :target: https://github.com/Microno95/desolver/actions/workflows/pytest-ubuntu.yml\n   :alt: Build Status\n\n.. image:: https://readthedocs.org/projects/desolver/badge/?version=latest\n    :target: https://desolver.readthedocs.io/en/latest/?badge=latest\n    :alt: Documentation Status\n\n.. image:: https://codecov.io/gh/Microno95/desolver/branch/master/graph/badge.svg\n   :target: https://codecov.io/gh/Microno95/desolver\n   :alt: codecov\n\n\nThis is a python package for solving Initial Value Problems using various numerical integrators.\nMany integration routines are included ranging from fixed step to symplectic to adaptive integrators.\n\nDocumentation\n=============\n\nDocumentation is now available at `desolver docs \u003chttps://desolver.readthedocs.io/\u003e`_! This will be updated with new examples as they are written.\n\nTo Install:\n===========\n\nJust type\n\n``pip install desolver``\n\nUse of PyTorch backend requires installation of PyTorch from `here \u003chttps://pytorch.org/get-started/locally/\u003e`_.\n\nMinimal Working Example\n=======================\n\nThis example shows the integration of a harmonic oscillator using DESolver.\n\n.. code-block:: python\n\n   import desolver as de\n   import desolver.backend as D\n\n   def rhs(t, state, k, m, **kwargs):\n       return D.array([[0.0, 1.0], [-k/m,  0.0]])@state\n\n   y_init = D.array([1., 0.])\n\n   a = de.OdeSystem(rhs, y0=y_init, dense_output=True, t=(0, 2*D.pi), dt=0.01, rtol=1e-9, atol=1e-9, constants=dict(k=1.0, m=1.0))\n\n   print(a)\n\n   a.integrate()\n\n   print(a)\n\n   print(\"If the integration was successful and correct, a[0].y and a[-1].y should be near identical.\")\n   print(\"a[0].y  = {}\".format(a[0].y))\n   print(\"a[-1].y = {}\".format(a[-1].y))\n\n   print(\"Maximum difference from initial state after one oscillation cycle: {}\".format(D.max(D.abs(a[0].y-a[-1].y))))\n\n","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmicrono95%2Fdesolver","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fmicrono95%2Fdesolver","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmicrono95%2Fdesolver/lists"}