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        "author": "Ekin Ozturk",
        "author_email": "ekin.ozturk@mail.utoronto.ca",
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            "Development Status :: 5 - Production/Stable",
            "Environment :: Console",
            "Intended Audience :: Developers",
            "Intended Audience :: Education",
            "Intended Audience :: End Users/Desktop",
            "Intended Audience :: Science/Research",
            "License :: OSI Approved :: MIT License",
            "Programming Language :: Python :: 2.7",
            "Programming Language :: Python :: 3",
            "Programming Language :: Python :: 3.3",
            "Programming Language :: Python :: 3.4",
            "Programming Language :: Python :: 3.5",
            "Programming Language :: Python :: 3.6",
            "Topic :: Scientific/Engineering :: Mathematics"
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        "description": "# DESolver\n[![BCH compliance](https://bettercodehub.com/edge/badge/Microno95/desolver?branch=master)](https://bettercodehub.com/)\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\nImplicit integrators are intended for release 3.0, but that's far off for now.\n\n# Latest Release\n**2.2.0** - PyTorch backend is now implemented. It is now possible to numerically integrate a system of equations that use pytorch tensors and then compute gradients from these.\n**Requires installation of PyTorch from [here](https://pytorch.org/get-started/locally/). Torch backend will not work without pytorch!**\n\n# To Install:\nJust type\n\n`pip install desolver`\n\n## Implemented Integration Methods\n### Adaptive Methods\n#### Explicit Methods\n1. Runge-Kutta 45 with Cash-Karp Coefficients\n2. Adaptive Heun-Euler Method\n#### Implicit Methods\n**NOT YET IMPLEMENTED**\n### Fixed Step Methods\n#### Explicit Methods\n1. Midpoint Method\n2. Heun's Method\n3. Euler's Method\n4. Euler-Trapezoidal Method\n5. BABs9o7H Method  -- Based on arXiv:1501.04345v2 - BAB's9o7H\n6. ABAs5o6HA Method -- Based on arXiv:1501.04345v2 - ABAs5o6H\n7. Runge-Kutta 5 - The 5th order integrator from RK45. Very accurate with fixed step size.\n#### Implicit Methods\n**NOT YET IMPLEMENTED**\n\n\n# Minimal Working Example\n\nThis example shows the integration of a harmonic oscillator using DESolver.\n\n``` python\nimport desolver as de\nimport desolver.backend as D\n\n@de.rhs_prettifier(\"\"\"[vx, x]\"\"\")\ndef rhs(t, state, **kwargs):\n    x,vx = state\n\n    dx  = vx\n    dvx = -x\n\n    return D.array([dx, dvx])\n\ny_init = D.array([1., 0.])\n\na = de.OdeSystem(rhs, y0=y_init, dense_output=True, t=(0, 2*D.pi), dt=0.01, rtol=1e-6, atol=1e-9)\n\na.show_system()\n\na.integrate()\n\nprint(a)\n\nprint(\"If the integration was successful and correct, a[0].y and a[-1].y should be near identical.\")\nprint(a[0].y, a[-1].y)\n```\n\n\n",
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