{ "metadata": { "name": "", "signature": "sha256:1ada824da05e53c61bacf78484e02364fbf3d08dcb42c147652f58dc402f80d3" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Exploring Numerics with IPython Widgets" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Aron Ahmadia (US Army ERDC) and David Ketcheson (KAUST)" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Teaching Numerical Methods with IPython Notebooks, SciPy 2014" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Creative
This lecture by Aron Ahmadia and David Ketcheson is licensed under a Creative Commons Attribution 4.0 International License. All code examples are also licensed under the [MIT license](http://opensource.org/licenses/MIT)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "css_file = './example.css'\n", "HTML(open(css_file, \"r\").read())" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "What is this?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a brief introduction to exploring numerical methods using IPython Notebook Widgets, aimed at lecturers who wish to incorporate it in their teaching, written in an IPython Notebook. This presentation adapts material from the [IPython official documentation](http://nbviewer.ipython.org/github/ipython/ipython/blob/2.x/examples/Notebook)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "from math import pi\n", "\n", "from IPython.display import display, HTML\n", "from IPython.html import widgets\n", "from IPython.html.widgets import interact, interactive\n", "\n", "import numpy as np\n", "from scipy import integrate\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "def show_args(**kwargs):\n", " s = '

Arguments:

\\n'\n", " for k,v in kwargs.items():\n", " s += '\\n'.format(k,v)\n", " s += '
{0}{1}
'\n", " display(HTML(s))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "i = interact(show_args,\n", " Temp=(0,10),\n", " Current=(0.,10.,0.01),\n", " z=True,\n", " Text=u'Type here!',\n", " Algorithm=['This','That','Other'],\n", " a=widgets.FloatSliderWidget(min=-10.0, max=10.0, step=0.1, value=5.0, description=\"Float (a)\")\n", " )" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "

Arguments:

\n", "\n", "\n", "\n", "\n", "\n", "\n", "
a5.0
Temp5
AlgorithmThis
TextType here!
Current4.99
zTrue
" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_sine(n):\n", " x = np.arange(0, 2*pi, 0.01);\n", " y = np.sin(n*x)\n", " fig = plt.figure(figsize = (8, 6));\n", " ax = fig.add_subplot(1,1,1);\n", " ax.plot(x, y, 'g', linewidth=4);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(plot_sine, n=(1, 5, 1));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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0mb8M9UX1hhyJRXC473BG30ksjde7WMdtW9U2ZHuzM/pOfqx48xxF0kRquMZI8wYy04Mx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\nb1zXdVM73VC+QZA2ckFG2sHwEUjrcCu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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "def solve_lorenz(N=10, angle=0.0, max_time=4.0, sigma=10.0, beta=8./3, rho=28.0):\n", "\n", " fig = plt.figure(figsize = (4, 3));\n", "\n", " ax = fig.add_axes([0, 0, 1, 1], projection='3d')\n", " ax.axis('off')\n", "\n", " # prepare the axes limits\n", " ax.set_xlim((-25, 25))\n", " ax.set_ylim((-35, 35))\n", " ax.set_zlim((5, 55))\n", " \n", " def lorenz_deriv((x, y, z), t0, sigma=sigma, beta=beta, rho=rho):\n", " \"\"\"Compute the time-derivative of a Lorentz system.\"\"\"\n", " return [sigma * (y - x), x * (rho - z) - y, x * y - beta * z]\n", "\n", " # Choose random starting points, uniformly distributed from -15 to 15\n", " np.random.seed(1)\n", " x0 = -15 + 30 * np.random.random((N, 3))\n", "\n", " # Solve for the trajectories\n", " t = np.linspace(0, max_time, int(250*max_time))\n", " x_t = np.asarray([integrate.odeint(lorenz_deriv, x0i, t)\n", " for x0i in x0])\n", " \n", " # choose a different color for each trajectory\n", " colors = plt.cm.jet(np.linspace(0, 1, N))\n", "\n", " for i in range(N):\n", " x, y, z = x_t[i,:,:].T\n", " lines = ax.plot(x, y, z, '-', c=colors[i])\n", " plt.setp(lines, linewidth=2)\n", "\n", " ax.view_init(30, angle)\n", " plt.show()\n", "\n", " return t, x_t" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "t, x_t = solve_lorenz(angle=0, N=10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5lYUFwtLq8Cz0/ng4B63f5a9RY5CtEuUVXOTQ1QaaWIGihpZFqQlOamGnXoFG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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "w = interactive(solve_lorenz, angle=(0.,360.), N=(0,50), sigma=(0.0,50.0), rho=(0.0,50.0))\n", "display(w)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5lYUFwtLq8Cz0/ng4B63f5a9RY5CtEuUVXOTQ1QaaWIGihpZFqQlOamGnXoFG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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "t, x_t = w.result\n", "xyz_avg = x_t.mean(axis=1)\n", "plt.hist(xyz_avg[:,0])\n", "plt.title('Average $x(t)$')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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