{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Odd-Even Decoupling\n",
      "\n",
      "What is odd-even decoupling?  Let's pull up a video from the Burgers' Equation exercise and take a look.  \n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import HTML\n",
      "from base64 import b64encode\n",
      "video = open(\"../videos/laxfricfl1.mp4\", \"rb\").read()\n",
      "video_encoded = b64encode(video)\n",
      "video_tag = '<video controls alt=\"test\" src=\"data:video/x-m4v;base64,{0}\">'.format(video_encoded)\n",
      "HTML(data=video_tag)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<video controls alt=\"test\" src=\"data:video/x-m4v;base64,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       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "<IPython.core.display.HTML at 0x2d51a50>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Notice how the points along the leading edge of the wave behave?  They cascade down in pairs.  This is not an evanescent behavior, it will continue for as long as the simulation is run, so why does it happen?  \n",
      "\n",
      "The particular video shown above is using the Lax-Friedrichs scheme in which\n",
      "\n",
      "$$u^{n+1}_i = f \\left(u^n_{i-1}, u^n_{i+1} \\right)$$\n",
      "\n",
      "The only points on the grid that $u^{n+1}_i$ depends on are those parent points, $u^n_{i-1}$ and $u^n_{i+1}$.  \n",
      "\n",
      "If we drew out a little scheme diagram for this, it might look like the following.  "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import Image\n",
      "Image('un+1.png')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "png": 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BBwAgn5YvX67g4GBt377d5b3WOQX0iSeeUFxcnFasWHFZKbXb7WrRooX69etX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\n0AEAAKAACjoAAAAUQEEHAACAAijoAAAAUAAFHQA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       "prompt_number": 9,
       "text": [
        "<IPython.core.display.Image at 0x2d514d0>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What about if we did the same for $u^n_i$? By extension, its parents should be $u^{n-1}_{i-1}$ and $u^{n-1}_{i+1}$."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Image('un.png')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "png": 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+8Ic/pE+fPvnRj35U7x0gANgyCjrAVuwvf/lLPvWpT+W0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\nr1es06lTJ2VkZGjgwIH3tM+MjIy7Xvfo0aMaM2a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       "prompt_number": 10,
       "text": [
        "<IPython.core.display.Image at 0x2d51250>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Above we can see that $u^{n+1}_i$ doesn't depend on the value of $u^n_i$.  Which means it also doesn't depend on either $u^{n-1}_{i-1}$ or $u^{n-1}_{i+1}$.  \n",
      "\n",
      "If we connect all of the points on the grid that *do* depend on one another, you get something that looks like this:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Image('oddevengrid.png')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "png": 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H4cGDoX9/iIiAu1xOUCSl27t3L06nk82bN7NkyRJmz57NAw88YDqW3CcV6HLHGjVqhMvl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37kRGRpKQkEDlypVVZ4lX5ObmxpgxYzh27BiXLl3CYDCwZcsW1Vn2z2IBHx9tHbloEWzZAsWK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\ns2EAAAAASUVORK5CYII=\n",
       "prompt_number": 11,
       "text": [
        "<IPython.core.display.Image at 0x2d51350>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###What does this all mean?\n",
      "\n",
      "When certain schemes are used which depend only on $u^n_{i-1}$ and $u^n_{i+1}$, the problem is solved twice, in tandem, with each solution offset from the other by one step in space.  This doesn't mean that it's right or wrong, but it is something to be aware of when choosing a scheme for a particular problem.  "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.core.display import HTML\n",
      "def css_styling():\n",
      "    styles = open(\"../styles/custom.css\", \"r\").read()\n",
      "    return HTML(styles)\n",
      "css_styling()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<link href='http://fonts.googleapis.com/css?family=Fenix' rel='stylesheet' type='text/css'>\n",
        "<link href='http://fonts.googleapis.com/css?family=Alegreya+Sans:100,300,400,500,700,800,900,100italic,300italic,400italic,500italic,700italic,800italic,900italic' rel='stylesheet' type='text/css'>\n",
        "<link href='http://fonts.googleapis.com/css?family=Source+Code+Pro:300,400' rel='stylesheet' type='text/css'>\n",
        "<style>\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        src: url('http://mirrors.ctan.org/fonts/cm-unicode/fonts/otf/cmunss.otf');\n",
        "    }\n",
        "    div.cell{\n",
        "        width:800px;\n",
        "        margin-left:16% !important;\n",
        "        margin-right:auto;\n",
        "    }\n",
        "    h1 {\n",
        "        font-family: 'Alegreya Sans', sans-serif;\n",
        "    }\n",
        "    h2 {\n",
        "        font-family: 'Fenix', serif;\n",
        "    }\n",
        "    h3{\n",
        "\t\tfont-family: 'Fenix', serif;\n",
        "        margin-top:12px;\n",
        "        margin-bottom: 3px;\n",
        "       }\n",
        "\th4{\n",
        "\t\tfont-family: 'Fenix', serif;\n",
        "       }\n",
        "    h5 {\n",
        "        font-family: 'Alegreya Sans', sans-serif;\n",
        "    }\t   \n",
        "    div.text_cell_render{\n",
        "        font-family: 'Alegreya Sans',Computer Modern, \"Helvetica Neue\", Arial, Helvetica, Geneva, sans-serif;\n",
        "        line-height: 135%;\n",
        "        font-size: 120%;\n",
        "        width:600px;\n",
        "        margin-left:auto;\n",
        "        margin-right:auto;\n",
        "    }\n",
        "    .CodeMirror{\n",
        "            font-family: \"Source Code Pro\";\n",
        "\t\t\tfont-size: 90%;\n",
        "    }\n",
        "/*    .prompt{\n",
        "        display: None;\n",
        "    }*/\n",
        "    .text_cell_render h1 {\n",
        "        font-weight: 200;\n",
        "        font-size: 50pt;\n",
        "\t\tline-height: 100%;\n",
        "        color:#CD2305;\n",
        "        margin-bottom: 0.5em;\n",
        "        margin-top: 0.5em;\n",
        "        display: block;\n",
        "    }\t\n",
        "    .text_cell_render h5 {\n",
        "        font-weight: 300;\n",
        "        font-size: 16pt;\n",
        "        color: #CD2305;\n",
        "        font-style: italic;\n",
        "        margin-bottom: .5em;\n",
        "        margin-top: 0.5em;\n",
        "        display: block;\n",
        "    }\n",
        "    \n",
        "    .warning{\n",
        "        color: rgb( 240, 20, 20 )\n",
        "        }  \n",
        "</style>\n",
        "<script>\n",
        "    MathJax.Hub.Config({\n",
        "                        TeX: {\n",
        "                           extensions: [\"AMSmath.js\"]\n",
        "                           },\n",
        "                tex2jax: {\n",
        "                    inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n",
        "                    displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n",
        "                },\n",
        "                displayAlign: 'center', // Change this to 'center' to center equations.\n",
        "                \"HTML-CSS\": {\n",
        "                    styles: {'.MathJax_Display': {\"margin\": 4}}\n",
        "                }\n",
        "        });\n",
        "</script>\n"
       ],
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       "output_type": "pyout",
       "prompt_number": 1,
       "text": [
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     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
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}