{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider the heat equation \n",
    "$$ u_t = u_{xx}$$ \n",
    "with boundary conditions \n",
    "$$ u(0,t) = u(1,t)=0 $$ \n",
    "and \n",
    "$$u(x,0) = f(x) = \\begin{cases} 2x &  x \\le 1/2\\\\ 2(1-x) & x > 1/2 \\end{cases}$$\n",
    "\n",
    "Using Fourier's method, the exact solution can be shown to be \n",
    "$$\n",
    "u(x,t) = \\frac{8}{\\pi^2} \\sum_{k=1}^\\infty \\frac{\\sin(k \\pi /2)}{k^2} \\exp(-(k\\pi)^2t) \\sin(k\\pi x),\n",
    "$$\n",
    "which turns out to be well-approximated by \n",
    "$$\n",
    "u(x,t) = \\frac{8}{\\pi^2} \\sum_{k=1}^{100} \\frac{\\sin(k \\pi /2)}{k^2} \\exp(-(k\\pi)^2t) \\sin(k\\pi x).\n",
    "$$\n",
    "This approximation will be the reference solution in these numerical tests.\n",
    "\n",
    "We compare the reference solution to the explicit finite difference method\n",
    "$$\n",
    "\\frac{v^{m+1}_j - v_{j}^m}{\\Delta t} = \\frac{v^{m}_{j-1} - 2v_{j}^m + v^m_{j+1}}{\\Delta x^2}\n",
    "$$\n",
    "with $\\Delta x = 1/100$ \n",
    "and $\\Delta t = 1/M$ for the different values $M = 19000, 19980$ and $20000$.  \n",
    "\n",
    "Note that here the CFL condition \n",
    "$$\n",
    "\\frac{\\Delta t}{\\Delta x^2} \\le \\frac{1}{2} \\implies \\Delta t \\le \\frac{1}{20000}. \n",
    "$$\n",
    "\n",
    "The tests below show that the numerical solution, for this particular problem, only is a good approximation of the reference solution when the CFL holds. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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e6XT6uXPnwsLCysvLtbW1XVxcuLfvcp06daq4uHjWrFl48x0h9PHjx4iIiPj4+KKiIgaDoaSkZGVlNXv2bHwwPujuIBECAHjCZDJXrVrl4+PTnrM/hmE7d+7csGGDiIhIVFTUxIkTP336xOdcCEAD8IR6AABPAgMDAwIC9u7d256NJCcn37hxIz8/HyE0YsQIXV3dJp/xCwA/QSIEAPwZk8m8c+cOlUo9deoUPhVc26ioqOC39eJvRUREGgxcAYD/4NIoAODPLly4gM/x5uvru3r16qNHj7Z/m4WFhVpaWmFhYVZWVu3fGgBtBokQAPAHbDZ72rRpd+/eLS0t1dbWZrFYqampDR501QbTpk2ztLRct25dhwQJQJvBpVEAwB8EBgbOmjWLSCTKy8u7u7vT6fQDBw60c5unT58ePnw4ZEHQFUCLEADQEm5zEB91V1xc3HKj8PHjx9+/f6+srKTRaAcPHjx+/DiDwUhNTV2+fDl3GrPQ0NCqqipnZ2eEUExMTOOncQHAT9AiBAC0JCgoaObMmdynFMnLyy9dupROpx88eLBx5UePHtXU1Hh5ee3atevTp0+jR4+2t7efNm3a5cuXuXeHRkdHZ2RkmJubp6enf/78+f379/z7YwBoCrQIAQDNatAcxDXXKGQwGB4eHv7+/vhbc3NzJSWlx48fl5aW7tmzx93dvW/fvrm5ucbGxvWfhRQcHNxgcgMA+AxahACAZl27dm3GjBkNHlorLy/v5ubWuFFYW1u7Zs0a/DWLxUpMTBw9ejRCSFZW9uDBg/ioeVVV1ZKSkvqzW0EWBAIHLUIAQNOabA7iuI3CtLQ0VVXVxuu+e/fOysrq8+fPgwYN4kuwALQdtAgBAE27ceOGs7Nz4yyIEJKXl3d1dW2upxAhFBkZKSMj054ZWQHgmy6UCPHntAEAugI2m33r1i38xs4meXl5iYmJNZhohslk4i/Cw8PNzMy4SRR/hhQAXVMXeh6hoaFhUlKSpKRkk0vpdDr3WZpAUFgsFoZhQkJCgg6kt+PD4XD9+nUNDY2IiIgW6owYMeLZs2cHDhw4cuQIQmjVqlUXLlzIy8urra19/fr1smXL8GoZGRncOdV6EjgpdQVsNpvD4bTzpNSF+gjl5ORSUlJkZWWbXEqj0SQkJPgcEmiAyWRyOBz8gURAgDr7cOBwOPgPU14qi4qKZmRkKCkpjRs3Tl5e/uTJk5s3bzYyMrpx48azZ8+SkpKuXr3q4+PDfYxfjwEnpa6AxWKxWKx2/iKBRAhaARJhF9HZhwOTyXzy5An+8MU/IhAItra2srKyNBotMDCQyWTOmjVLUVExKioqOjq6f//+EyZMaLKjsbuDk1JXAIkQ8Bskwi4CDoeuAD6FrqBDEmEP/JkGAAAA8A4SIQAAgF6tdYmwtLS0hW4DDMNKSkoYDEaDcg6HU1JSwr2vGgAAAOg6eE2EmZmZZmZmRkZGSkpKfn5+jSscPnxYWlp6wIABMjIyTk5OlZWVePmnT590dXVNTU3V1NQePnzYYYED0GuUM1A6DUunYbHFWGwx9jofi8gnRhdgscVYfCmWTsMyq7AalqCjBKDb4vVmmWnTpqmoqPj5+SUlJVlYWHz+/FlXV7d+hYyMDAUFBSqVSqPRHBwcbG1td+3ahRAyMTFZsmTJypUrX758OXXq1JycHHFx8SZ3ATfLdH1ws0xn+1SMvczBUiqxvBqsglZDr66uq6kRZtZIsKslOLWS7CoJTo0ku4aEseuIFBpRlEYSryKKVZDFK4nibIqYiJg4lSomSRXREEdm8oS5ekQSQdB/Us8FJ6WuoENuluFpZE9lZWVwcHBiYiJCqF+/fo6OjlevXt22bVv9Otra2vgLCQkJc3Pz4uJihFBcXFxGRoarqytCyM7OTlNTMzg4eNasWe2JGICeB2PUMQsyf6X+Co7+1Z/+y4aepcosbrYygVBNFKWya5qrwEKkbIrSTxGt8L6aw011yCqaQgpqiNgDh7QD0CF4SoTZ2dmoXqrr169fRkZG42oZGRnPnz9PTU2Nioq6efMmQig9PV1LS4vbgOjXr196enpze+FwOL9+/SovL8ffysjIyMjItOZvAaCbwDBmQTYzL4OV+4uZn8nMy2CV5CMME0NoHoGSIqLxlmqaK6RAI4hWkcQqSBIMIVEhMWoNSYwsJlZLFiMIi5IRm84hUeqqhJg1hLoaIWYNu7ZahFUjwa6R5FRJsao1GXn96jJ14j6UfGEjhAgkMllZQ0hZU0hFS0hFU0hNlyQtL+j/hW5pxYoV3HkG2Gx2j5wxp8uaOnXq0qVLO2PLPCXCiooKMTExAuE/F1nExcWbnBe0qqoqJSUlKSmJRCKxWCyEUGVlpZiYGLcClUrl5rnGqqurnZycuANvbWxsjh8/Xn8pNwAgKPilUbjvqVWqWYQCOtKhYlhdDSs1npn0hZXyhUMrQwgRSGSinDJRRVtkoDVJUZ2krPGoTPV7JVGHiv0ljuSFMUURjrwwEmt4mNKrqqqoVCpCZIQkEfrPrIQ0FiG/FhXTCUV1KKOKQCMiEy06qeQ3uzCbnZ/FLsympyXUfI5EGIYQIimqC/UbTNYbSNI0eFdKQQgNkeOQ4S7yP3n8+LGPj4+ysrKgA+l1wsLCXr9+PWfOnAblrP9qbkUREZE/zmrEUyJUVFSk0WgcDgfPUuXl5UpKSo2rGRsb41PRb9u2zcPD49mzZwoKChUVFdwKZWVlhoaGze1FQkLiy5cvzfURYhhGpVJ5iRZ0Hugj5F0RHQVnch5kcn6nZlhVfpqPxaoW/UQcNlGMKtxvsEh/c4q6HllJnUD6n2PQXYOnjTd5OFARUpFuUCaKZGWQnvH/r1hXy8zLrPv1o+7np7p3ofSohywh0WxR0wiqmae8uXlfRSctwhg1omhPmw2twxAIhGHDhnEvjwG+ycvLy83Nbfy1518fobq6uoSERGxsrIWFBULo48ePkydPbqG+jo7O48ePEUJGRkYZGRmlpaWysrIYhn369KmTGrYAdBE0JrqbwbmZWENK+zyq8tM22idlVilGIGRStSXsposYWAhrGSDBzTdGEBalaPWnaPWXsJ6CMej05Lj3b2KM0j86VL5HuSgxSTNC0vyolJmKgfEcfbJDHwLcawN6A54SobCw8D///LNx48aTJ09GR0d//vz59u3bCKFv3765ublFR0cjhI4ePTpo0CBlZeXk5GQfH5/FixcjhLS0tEaPHu3h4bF169agoCARERH8idUA9DAcDEXkYZeTOT9/pk4penakIpLKrqERxV9TB0ZImBVrmu8YpSCl1LWyCoEiIjrA8q/+lltj2R+/ZxkUxFhXf15c/NC96G5OpsKND/beag5j+svP1ycOkOlakQPQsXi9ArJ79+5///136tSpqqqqoaGh+AVMISEhRUVFvAKHw9m2bVtxcbGKioqXlxeeCBFCly9fXrdu3aRJk/T09EJDQ6FvGfQwxXR0Lolz6XvNoJzXs0ufDqxNriUKh0gOvytrR9E2mqgttE+ToCXRdROJGBkd/IuE/aX9uVjr/q9pB9NqlHNiZ5a98Ci8vqboRniq+RpZxypt82VG5Bk6RGE4fEFPBJNug1aAPsL64kowv++cLwmp04ufOVVEUtk1icKaV2UdE7VtphlIztYlKot21q479XD4XoZdTuGEf8+3y302oyxMkVWaI6RwQ8Y+TNVhsrG8uwFRVazr5vXOpqOj8/LlS+gj5L/AwMAXL15cuXKlQTn/+ggBAFwYQiFZHL8vNXLJr2eXPt3x3ybgYxXHAaaGq/SIg+S6d54wkiH4DiGxLdSe/154KHl21bcPzsVPPQqvry68GZFm9s8bRzlji/Wm5IHd/M8EgAsSIQC84mDo7i/O4Y9VlqkPjpYES7KrEoU1t6i4/dK1WWQqGapDpPSg4QckAhqrThirLlwyfOS5xOHOX/JG5TybURZmn7EzM0d5z+dZdcY2mwYJ/aUI6RB0e5AIAfgzPAXu/VhjlRZ8puSBNJv2VMLyguIUdQND1/7E0Wo9ORnICaMNpsT1JmqPsxds+uZCSopZUXTr8O8jaUW39ia4lOqPXG9KmqDRg34CgN4HEiEALcEQupfB2faRMfDXi/NF1xSYZVHiA4/1mTd8cL+7xr2ot4xIQBM0iBM0ROIsR+yJG1aQ8Hlj3qUT2QdSim6cTJrmZ2S714JsJt9b/jdADwOJEIBm1bHR30/oyj9eXC66rsQs/ShmuE7ba+gQk5ABJPl29c13YwPlCLfsSD/NzPd9GXT86weP/KAjv48kFd/b+XPWP1NGTNKC+0pB9wOJEICmYWzWz4iIna+vajDyP4oZbtZeO3zooHtGRCmKoCPrAgykCZdtyOnmVvu+/FUY+8Yz74p/1r7iyzdrJ7mIDhwh6OgAaB1IhAA0ofbL64qQC/Il+YlShgs1VwyyGHTdlCQDw0b+l44E4cxIcrLpqP1xVv3Tw12yrpdc2i2sYyTltJSirifo6ADgFSRCAP4HqySv/M5J+s+PQn105d12jTYwh8mQWqYvRTg/ioJGOWLs0TXvn1U+v1Z4ZDV1xESpcfMJwp02lBK03r179/bt2/fgwQNVVdV2bqqysvLZs2f5+fkqKipjxoyRlJTkccWKioq0tDQMw4yNjSmU/7m6EhMTs2zZslOnTuFzefITJEIA/gNjs6rfhFSEXkYYJjXhHwmbaQKcFLQ7IpDI4sP+FrOwq3x2jRZxp/bLa6kJ/4hZwA+JLoFOp3t6eg4dOrT9WTAkJGTu3Ln1H5kXFBQ0bty4FlYpLS1dsWJFbGxsSkoKPotLRkaGlpZW/ToWFhZEInH16tVv377l87OG4DgHACGE6tK/Fx5YXn4/QKS/ufLm8xJ2zpAF24ZAEZGa8I/imqNESZnSqweLz25jlxYKOiiA/P39MzMzN23a1M7t/Pjxw9nZWVhYOCQkpLCw8NGjR0JCQtOnT+c+prFJ5eXl169fr6urc3Jy6tOnT5N1CASCl5fXu3fvQkJC2hlka8GhDno7Tg2t7MbRIr91GLNO3tVHbuFmkpScoIPq9iga+kqex6Wd3OpSv+bvc6WF30EctqCD6r0wDAsICDAzMzM2Nv5z7Rb5+PjU1taeOHHi77//VlBQGD9+vJ+fX01Nza5du1pYS01NrbCw8NevX3fv3tXR0Wmu2sSJE+Xk5E6ePNnOIFsLEiHopRgcVExHtXFR+XuWVMe8oI6YqOR1SsSQ350TPRmRRB3lpLzpnKjpsIrgcwUHln+K/X43g8PiCDqwHiQpKcnZ2fnWrVv1CwsKCpydnc+ePcstCQ8PT01NdXZ25pbQ6fRFixbNmTOn/lPW2Wz2ypUrZ8yY8fv37yZ3x2AwQkJCqFTq+PHjuYUTJ06kUqnBwcEtPLJbWFhYQUHhj38OhUJxcnJ6/vx5ZmbmHyt3IOgjBL3RoyzOnrAsz/STQ6u+UrSNZJxXCqloCTqonokkJSc7e72o6YjC2ycVA9eFyTrYGS44NVrKULonjL5/ko2FZPM1tetIEJYbEqlC/3lbUlJy+/btBg88r6qqun37tpzc/1/YeP78OUJoxIj/H9kiIiLi4OAwY8aMioqK4OBgvE/Ox8fnxIkTXl5ezV29TEpKqqqqsre3rz/JtYiIiKWlZVhYWEpKSguPXufRsGHDzp07FxYWtmjRonZuineQCEHvUs1Cnu/ZtdGPA/PO0YnCdweuXD1/HOJvz3wvJDrAMkPCNDzwyj/FwXYfPrrnr5tqY7rSiNit/9+vp3FcIgRwvffpb07E3607dUdFRZFIpIEDB9YvdHZ2fvHixblz5/z8/FatWvXq1atdu3YNGTLEx8enue1kZWUhhOTl5RuU4629zMzM9idC/JbRqKgofiZCuDQKepGYImzk7TLz57v25J58J27iYnpyxHjIgnxirSkqPWnJ9H6HaogiV9I2Zz0MHBfKyK3pKo+Ba4PzSYK5yBuZh6VVtu7/7devX7KysqKiDUez+Pn5DRw4cN26dY8ePXJxcWN6f28AACAASURBVJGQkLh582aDUQ31VVVVIYQaPywPb33iS9sJv6n1169f7d8U76BFCHoFFgcd+sa5F/XjRNYBFWbJEUWX7L9cIoaT5WCMPB95GhPHqvf7J9xv7PeLawqvf4n67JC7zttGzaVvt/xFriBKQEgAiVyIiKSFW/frraSkRFNTs3G5iIjItWvXLCwsJk2ahBC6d+9egyENDeBPVm/cF1hXV4cQIpM7IKFISUkRicSioqL2b4p33fL7B0Cr/K7G7B4zCh4H3krzYiKSS7+DA53n3LKDLCgABtKEV5PFahyXrtRYr8fIvvHTI+jhG7c3bHo3vKV0+2Cimji/LycQCWi3Oam1X11hYWE8VzVmYGBgY2ODYdigQYMmT57c8nakpaURQiUlJQ3KS0tLuUvbicVicTicxo3XTgUtQtDDPf2NrX9esD3t4F/VCbdl7J4OXHrdjqpJhcuhAkMhon0WpNfqtv886+edeOBM1p7AqrGjCpYEjRbVk+pOn0s/KULKdPLHYozBxyyuL4U06n17iUQiQojD+Z+LtDU1NQ3WUlRULCgoaHKDgYGBISEh0tLSnz9/DggIWLp0aQt719PTQ//tKawPv8kTX9pOeJbl5RbTDgSJEPRYbAxti2V/inp3Lee4EIfpqb520Gi7JybE7n2HRk8xUpnwZFaf5W8ORL6/sbrwumVMgkuR1/oxfZ11utNlKlEyGqksyO+TsrIyQig/P79+4ffv3xtUMzY2TktLy83NbTCtTEpKyvLlyzU0NN68eePg4ODh4fHXX38NGjSoud1pampqa2vHxsbm5+fju0YIFRQUfP78uW/fvs3da9oq+MB8U1PT9m+Kd93pOwcA7wpr0cTHNZQnAWezdmcLKc0dcMxt1mhvU8iCXYgUBQXZUkynz1mo6yPJqb6RvPb57fvzItm1LEFH1n306dNHVFQ0NDSUTqfjJVVVVXv37m1QbdSoUQihmJiY+oV0Ot3Z2ZlOp9+4cUNdXf3WrVsEAmHGjBk0Go1bJzw8fOPGjS9fvuSWzJs3j8Ph+Pn5cUuOHj3K4XAWLFjALUlISFi7du2VK1fa8BfhQeIB8w0kQtADRRdgE65nrnnjubA05Iy804kRB0JdNOxUIQd2RfP0iAdnmbkPPP5O3Hh73tnh4bvHBtNyqrvx3aT8RCaTFy5cmJOTM3z48IMHD27ZsmXQoEEyMjINqjk5OZFIJHw0IdeaNWvi4uL27ds3dOhQhNCAAQMOHTqUkpLi6urKrfP27dv9+/e/efOGW7J27VpDQ8O9e/fOmzfvxIkTc+fO3bdv34ABA9asWcOtk5qaevjw4eDg4Pq7mz9/vr29vb29/devXxFCc+bMwd/++PGjfrXnz5/LyMhYW1u383+mVeDSKOhpziZyrj+PvZC5n0UgzdfabjvSImQgNAS7tEFyhDBn+SWvdkR9uuddcKVvzLpJFVuOj1OzUoKP7c8OHjxYV1d39erV9evXS0hILF261NXV1cHBof5oP01NTUdHx5s3bx45ckRYWBghFBkZ+eLFi1mzZnl4eHCrubu7x8TEvH79+unTp46OjgghfIoZPFPiJCQkwsPDPT09b926FRgYKCIiMmfOnMOHD1Op1Pp1+vfv3+BKaXZ2Nt6VKCsrKysrm5eXh5dz27IIoZycnMjIyFWrVvH5ZhkCPhF4VyAnJ5eSktJ4hAqORqNJSEjwOSTQAJPJ5HA4+IHUBTE5aNU7Nu1t6K6802nCamv1thwZp2aj0gNPpj31cDj+nXMz/OvJzL1EhC3X3DjXfuCS/l3rqpWOjs7Lly+1tbUFHUhDdXV1FRUVcnJy+AiHxl69emVtbR0YGDhnzhzeN6unp6ekpFS/RcjFYrHKyspkZGQ6ZNQEbuvWrb6+vj9//mz8PxwYGPjixYvGl1tZLBaLxao/000bdK0vGQBtVkxHY0MZKuEB+3L9o8QHbjX3feDcM7NgD7bKiLh/uukig4PFJKnL6VtfPnrq9obNgLlJeSAsLKyoqNhcFkQIjRo1avLkyTt37mSxeO2Dzc7OTk1NbW42bTKZrKCg0IFZsLy83M/Pb/Xq1fz/nQGXRkFP8LUUm/W44t/EfSOq4wLkp2QM++fFCLIYfLu7oeHKhLsz+sx5csD9q+/BnONnIrMdyxfesafIdtHLEN3JsWPHnj59WlJSoqSkxEt9FRWV0tLSxj2OnaSoqGj//v0zZszgz+7qg1MF6PaeZGMbn2SeSt3Zh1m0rs8aszFjrprApY5uTJNKeOYk7Sa3Pe3tWdfi+30//LarWn97nISuJLTv20VDQ6P+jTB/RCaT+ZYFEUJ6enodMhKxDeB8Abq3gJ8c3/sfryWtk2TXLNbftXCmw3rIgt2fGBldsaUIT3LfrLpsVNWXQ1/WTbv9+1tpV7mhAfQwcMoA3Vh8KfY25PHFjJ15ZLllpodOzDJx6AONhh6CgJCXCXGy8/h5urvl2BWBP9fefRkn6KBAzwSJEHRbHDb1WcDeHP8o8YG7/zpwf7paz3jEHajPSYt4yNlkieGhYrLUouh/q948EnRE3Vhubu6YMWOePHnS/k1hGPbhw4crV648ePAAn2iU9xWzs7PT09PrD9vHVVdXjx8/vm3D8NsJEiHoljAGvfjMVuEPD8v+cqbP3hE6UVKJr+OOAP9YKBBez+9jtOGIaL+B5Xf8K0Iuoi4z6Kt78fb2/vbtW/snbcnKyvrrr78sLS3nz5/v5OSkqqp6/PjxP661a9cuOzs7GRkZDQ2Nvn373rlzp0EFcXFxDQ2NNWvWtCqzdghIhKD74dRUFZ3cSE+Ok3FZazzrnyUGJFG466tHEyEhRRmqvKsPddh4WtjNstt+kAtb69u3b0FBQWvXrhUTE2vPdlgs1oQJE2JjY7dv356YmBgeHq6vr7969erGia2Bc+fORUdH9+vXz8TEpLk63t7elZWVBw8ebE+EbQCJEHQzbFpZkb8X83ea3IJN4kPsBR0O4CMiUXr6CqkJ/1RHh5YG7sPYMCdpK/j7+xMIhFaNpm9SUFDQ169fFy5cuG3btn79+tnY2AQHB5PJ5I0bN7Y8PcvTp08rKys/fPjg5OTUXB11dXU7O7szZ87Un26GDyARgu6EXVpYdHwdqyhXbskOUZNhgg4HCICEnbP0FPeaL69Lzu/AGE0/Y6/3KC8vd3NzO3r0aINyDMM8PT03bNiAv62pqbl27ZqNjQ33kREIoSNHjri5ueEzf3IFBga6ubmFh4c3t8fbt28jhGbPns0t0dLSGj58eFpaWmxsbAuh9u/fX0hI6I9/kYuLS0lJyf379/9YswNBIgTdBrMgq/C4J6e6QmHZXpF+gwUdDhAY6shJsi7r6ImfiwM2c+jVgg5HkKSlpT99+uTt7V1eXl6//O3bt0eOHKmoqOC+pdFoI0eOrF/H3t4+KCho6tSplZWVeElMTMzixYvfvXtXf3LRBmJjYykUyogRI+oX2traIoQ+ffrU/r8I33KD+cE7G3StgO6BkZ1SHLCZQCIprDwopKIl6HCAgIlZ2BFExEqv7C064aWwdDeR2gHPRm8LDoeeGIsx+HUdj4AoWoYkKbn6ZfPnz1+9evWtW7fqD5a/fPkyvgh/GxUVhRAyNzevv+KAAQPwRqGrq+uNGzfKy8tnzpxJoVBu3brV3JzXtbW1BQUFysrKDWZWw6eq+fXrV/v/RB0dHXl5+VevXrV/U7yDRAi6gbrUbyXnthHFJeXd95DlVf+8AugFRI2Hyrv6FJ/bXnh8nYL7HpKMIv9joL26X/HwLD/3SFZQU958vn7J7Nmzvby8Ll++zE2EtbW1d+7c0dfXt7S0xEvS09MRQo0fnOvq6hoVFRUUFDRmzJiQkJCMjIzAwMD+/fs3t/eqqiqEUONHI8jJySGEGo+IaBs1NbVv376x2ewWpk7tWHBpFHRpSRVYxsf3xac3k6TlFVYdgiwI6hPWM1VYvp9TXZl1ZN3255lxJfy+lZQsq4iIfD2LkuWUG5TIycn9/fff0dHR+LPdEUL3798vLy9fsGABgfCfkbUlJSUIIWnpJtrNJ0+e1NPTc3V1vX///uLFi1u+m4ZIJCKEGk/bzWQyEUIdlbdkZWU5HA4eM39AixB0Xce/cyKfhh/+fbROWUdlxS6iuKSgIwJdDkVDX2r5gaQj3pOfbXBL23HASX+kMv/mVRA1HaG2zwLj+XkO7UcUFW9cOH/+/Hv37gUFBfn4+CCELl++TCQS66c0/C4VPF01ICEhsXz58jVr1lAolMaPtm9cmUgkNh7nh5dISUm18q9pGoPBQAjx83Fv0CIEXdS+eE7s40dHsw/FiBtGjtsLWRA0R1RFc8WAA9UkkUspm/69+zUsh6/tQgJFhChG5ds/RGgizY8bN05ZWfnSpUtsNjs3N/fly5f29vbq6urcCgoKCui/6aqBjIyM7du3i4uLMxgMLy+vlv9YCoWirq5eVlaGXyPlys7ORgjp6uq24T+wsdLSUgqFIinJv0MeEiHoivbFc9Kf3t2de+qZpOWpITtmGTTxKxgAHJGAzk9SXWG4L19I9nza1l33417m9q7h9mQy2cXF5ffv369evbpy5QqbzebeJoMzMjJCCKWlpTVYkclkzp49u7KyMjg4eMqUKRcvXgwMDGx5X8OHD2ez2Q3u6gwNDUUIWVlZtf9vYTKZmZmZAwYMIDSV8jtJKxJhcHDw5MmTp0yZ8vTp08ZLU1JStm7dOnHiRGdn58DAQO7IynPnzrn9l4eHR8dEDXo036+cxGfBW/IvPJIafsfSO2ScKEwcA1pmIE24M0XJY8C+3xTFgPSd2+4nhPeyXLhw4UKE0OXLl69evSolJTVp0qT6S/Fp1WJiYhqstXHjxnfv3u3YscPW1vb8+fPa2trLli1LTEzkVvj9+/f+/fuvX7/OLZk3bx5CKCAggHuSf/PmzdevX4cNG8Z9iFJdXZ2Pj8+hQ4fa8Id8+/atpqbG2tq6Deu2HcabiIgIGRmZ27dvX79+XUpK6v379w0q+Pj4rFu37sGDB0FBQWpqaocOHcLLZ86c6eLicvr06dOnT1+6dKmFXcjKypaUlDS3tLKyksdQQedhMBh0Or1Td3HoK9vZNzRzteO5LdtsHtZWMTt1b90VHA5NyqRxBgcVhXst/unp9Jf/95c5nA7fhba2dnp6eodvtkOYmZnhoxpcXV0bLGKz2VpaWiYmJvULHz9+TCAQrK2tWSwWXhITE0OhUIyNjWtqavASfNyFtbV1/RWnTJmCEHJ0dLx8+bKPj4+0tLSIiMjHjx+5FfBBjbKysvXXCggImD59+vTp0w0NDRFCFhYW+Nu7d+/Wr7Z//36E0KtXrxr8CVeuXJk7d27jv5rJZNbW1v7xP6dlvCbCyZMn79y5E3/t7e09e/bsFiqfOHHCysoKfz1z5kx/f39edgGJsOvr7ER4+Bt7qu+zzNWOV//1tnlYQ2N03q66NzgcmvOLxrG4kvd2/fzvnlMt/H90eC7syonw7NmzOjo6Ojo6jRsqGIbt3r0bIRQfH4+/LS0ttbCwMDExycvLq1/tyJEjOjo6+/fvx9/eunULIeTh4VG/Tk1NzapVq8TF/9NhYWpqGhUVVb9CZWWlioqKkZFR/UJvb2+dpjRIEMbGxgYGBhxOww+uSyRCDQ2NsLAw/HVISEj//v1bqOzh4TFjxgz89cyZM21sbObOnevj41NUVNTCWpAIu75OTYSHv7HHHYrMWD3u2qYNDsHV1dAWbB4cDi1IreCYX8x5t25u3FrngadSXuV1ZC7syomwZUVFRVJSUsuWLWvVWu7u7uLi4vn5+Y0X0en01NTUJhe12du3bxFC586da7yoUxMhr30vBQUF3EGUsrKy+fn5zdV8//79uXPnPnz4gL8dMWIEkUgUFxd/8ODBwIED4+Pj8aGXjVVVVVlbW3NHolhbW+/cubP+Uh5DBZ2HyWRyOBz85uaOdT6V9CIi9mT2gVhxgwvmm66O4LBrO2h0bk8Eh0MLFAnonIOkK7br5I+NF9K2zHu497iDgrkcp0M2jnXbp17Iy8t7e3tv3bp1/fr1WlpaPK4VHh6+cuVKfOKYBoSFhfv27duRISK0Y8cOExOTBQsWNLmUxWI1HrPPYrFYLFaTI0NwIiIif5zjlNdEKC4uXltbi7+ura2VkJBostq3b98mT54cGBhoYGCAlyxbtgx/MWfOnCFDhly9enXVqlVNrisqKnrs2DHuLbMKCgoN9tLcTgHf4Imww8f3BKVyHr96fyZ7f7yo7rm/tj0YJyEOd8f8CRwOLTCVQEFTxBdie0788L6QunkxaV/glD4msh1wFyI/b2XscKtXryYQCAUFBbwnwtDQUFVVPs1iUV1dbWtra29v39zAfDKZ3PhrjydCERGR9uya1/ONhoZGRkYGfndsenp6/REqXD9//nR0dDx+/HiDG5ZwBAJBV1e3sLCwuV2QSCRTU9PGk/eAnu1hJud8aOy5rH3JwhrHzbY/GAtZEHQAPSnCxama/3B8/H9uOpvkPe/+vutT1Qyku3Eaaz8REZE/jhRsQEdHp5OCaUxcXJz7uAw+43X4hLOz84ULF9hsNovFunTp0owZM/DyU6dO5ebmIoRSUlLGjBmzf/9+Z2dn7locDgef4w4hlJiY+OzZsw4ZaAJ6jLAc7MCjbwG/9qRTVH0G7bo9Xlriz89pAYAnelIE/yl9l+rvEuPU+Sf9O/thYQatu17YBJ2K10S4YsUKJpNpYGDQv39/UVHRxYsX4+WrV69OSUlBCPn6+ubl5a1atUpWVlZWVtbU1BQhxGazBw0ahD+S2MLCYvny5ePGjeukvwR0O+8KsR0PE86lb88Xkt1i7HNnoqws/+ZUAr2CiSzhiJPeIt1d0uyqY9+9Zz4syq2BXAga4vUilISExOvXr5OTk4lEYv15dMrKyvAHdhw7dszX15dbjs/NKiQkVFJSkpaWxmQytbW1ubfbAvClBFt79+f51O2FZBnPAfseTJZXbvrBLwC0y1+KhD2T9N3ubTmfvn1PwhZnob2PJsvKwE8uUE/remP09fUblHBzm5iYmJiYWBM7IJP79evXtuBAT5VWibk9yDqbtqOMLLHKcM/dSfLq4r268wZ0KjtVQs1EY9cH/57P2OEVv2Oa8J5H48XFoCsa/BfMNQr4Lb8WzXhUeihpBwHDVujvuDpJqa8kZEHQuSZoEJf+PWiZ5gaTmtR5sftcXtaxOmY8BegJIBECvqpkoimh1Vu/71RmlbjrbDk+XsNIBrIg4IdZfYlODkM3q7nb0T4Oe++/8DUbegsBDhIh4B8GB814Tnf/ste0NmWV+vr1442G8/HRcQC4GxC1bcb6KcyYVfZcLvqa90e2oCMCXQIkQsA/CyJZoz/5W1fHequumDXearImfP0Av/mYk8pGzL0lM3pt0bVfkc/u/4IrpAASIeCXYjrq8y5wRtmLwwqzBjk4ztOD7x4QAAJCp0aQ31qufEUdvD/3RO2394KOCAge3DgF+ETky5NVRTdvyIyhOsxebwJZEAgMiYCujhb2kdis/9J7ZNR+hvE+ipYB76v7+vpKSUl1XnigSd+/f5eRkemkjRO6zhyycnJyKSkpzU2xRqPRYHJFgWvzXKP07x+Kz+8U6W8mvmCbKKXpiQQB7+Bw6BCcqorCY56cGprimiNkBTVeVrlz5w73Oe91dXUdPu8uaIGNjc2QIUMaFHbIXKOQCEErtC0RMrKSi054CSlrKKzwJVDa9X0FODgcOgqrOK/omCeBIqKw5jBJonUNDvgUuoIOSYRwhQp0LlZxXvGZrSRJGXnXnZAFQVdDlleRW7KDTSsrObMNq6sVdDhAMCARgk7EqaooPv0vQpi82y4iVVrQ4QDQBIqGvtyCTYyctJLLexAHBlT0RpAIQWfBGPSigM3sylJ5Nx8eO2AAEAgRwyEy05bTf3wsu31C0LEAAYC7RkHnwLDSqweZuenyS3ZQ1BtOUQtAVyNuNY5dXlT5/LqQsiZ11GRBhwP4ChIh6BSVT4Nq499IOy0VMbAQdCwA8ERy7DxWUW75wzNkBTURQ/je9iJwaRR0vNqvbyufXxMbYg+/rEF3QiDIuKylqOmWXtnLzM8SdDSAfyARgo6UW4Pde5dSEnSAomUg47xK0OEA0DoEIYrcP/9ySJSvJ3YufF5RVifogABfQCIEHSa3BnO8U9zn3o4ioqT8oq0EspCgIwKg1Ugyik9H/StTXTDm9b6ZYXVMmIu0F4BECDpGLQtNe0rfmbhHml3l3W8LDJYA3ZfOAKPNqu4jqr5Yfrm4+h0MqOj5IBGCjrHkDXv6txNmtYlrNTy9HHQFHQ4AbWerShhg73hObtKS4gcl0c/PJEKrsIeDRAg6wMFvHOq7O9PLXh5ScPnbYbitKjxlEHRvmwYSU4ctfilhsT/XP+h5/NuCrjIVJegMkAhBe73IwULDP3oXXn4iOZQxctZSA/hSgW6PgNC5UUIXBq7PEFY5kbl31ePf2dWQC3ssOGeBdsmgYZueZJ7IOpAorHV98NqjVjAyFfQQIiQU6CCxQf9fEuLsTdkz40l1DUvQMYHOAYkQtF0VE7mEVhxO3llHFPLuvyVojDgFvlCgB9GgEo7+rbFS00u/NuufrwfdoiAT9kxw3gJthCE0P4K57NvBPszC1Vobzo5XVhWDrkHQ01gpEabbm+9WWehY+V7p3dVD3+DGmR4IEiFoo91fOANizttUffJSW+nmYGImD1kQ9EzuBkTiMKcbMvari25EhL2NyIPOwp4GEiFoi2e/sZiI14tLHp6Xm6g5YvRsXfgigZ7Mz4oUMmj5F1H9A9lHvUKzfsONMz0LnL9Aq2VWYZufZfnmHP8iqv9m0D/7LEiCjgiAzkUhopv2Itv7eTOI5L3Je1ye1dTBOPseBBIhaB06G81+Vu2bvJuOKDv6bbpqJ0KGLxHoBZREkf9YpdUa6/UY2c5fj695D5mw54BzGGid1R8I076d1K3L9tT0PO6oqCgq6IAA4JehioQpdoOPKMyaXP6K9jY0MAOuhfQQkAhBK5xJQuhj6LTy8ANKc2eMMR+mBDfIgN5llRGxwmpWBNV8Z96Zi29+fSqGzsKeABIh4FVMEXbldfLWvPNhEkOqrZzd+sOXB/RGJ4aTTxmvKxCSPZGxd/GzslJ4VFP3B+cywJPSOrTkWdnxjH35QnIXTTz9h8EMMqCXEiejK2Ol1utsUGCVeyYeXvCKCa3C7g4SIfgzDKEFr5jrkw7Jsyu8+m645CglCnkQ9GK6kgSvsf13qCyxpX3Sjr3pGw+j7Ls3SITgz/bHc/Q+XbemxW5RWbrKVkdbAroGQW83UZMoPdT+trTd2oKrzyM/RuVDs7Abg0QI/uB1PvbsVeyqohv3pK1VR9hP0hB0QAB0DdtNWCGDl/8Q1T6WddDjSS50FnZfkAjBH+yKzD+WeSBZWCN40EqfQYKOBoAug0xEV+xEN+tuJGGc7cn7X+UwBB0RaCNIhKAlGJvlnehLRhxvvc2XR4vB2HkA6lMTJxwep75Fx9OUnjI09rygwwFtBCc20JKK+wF6FYkZYzzvzeijJg5dgwA0NEqFcGfFMEnrKay3D2s+Rwo6HNAWkAhBs2rj31S9CZGwnfa3g5UGFbIgAM2SmvCPsM6A8lvHWcV5go4FtBokQtA0dnlx2c1jFA19yXHzBR0LAF0ekSQ7byMikUsv78XY8PzebqYViTAzM/PKlSthYWEcThODZjgczvv374OCgp4/f85kMusvSkhIuHLlSnR0dHuDBXyDYaVBvhibJTt3A4EEYwYB+DOStLzMjDWM7OTK0CuCjgW0Dq+J8Pnz54MHD3716tWGDRsmT56MYQ0Hzdja2rq5ub148WLTpk2mpqYlJSV4+ZkzZ0aPHv327dt58+atXbu2I2MHnabyaVBd6lcZ51VkBTVBxwJAtyFqYkUdNp4Wfpue9FnQsYDWwHhjYWFx+vRpDMOqq6v79OkTERHRoEJycjL+gs1mDxkyZO/evRiG0el0BQWFyMhIDMN+//4tKiqamZnZ3C5kZWVLSkqaW1pZWcljqKCd6Gnfsj3Gll473HgRg8Gg0+n8Dwk0AIdDV9Dkp8Bh1OX7uudsnsGqKOV/SL0Qk8msra1t50Z4ahEWFBR8/Phx+vTpCCExMbFx48Y9evSoQR09PT38BZFIVFFRYTAYCKEPHz4QicSRI0cihNTU1IYMGfLkyZOOTOOgo3FqqkoDfcmyytJTlgo6FgC6H4IQRXbuBoxRW3b9EGp05Qx0TTx1//z+/VtMTExGRgZ/q6am9uPHj+Yqx8bGRkZGHjhwACGUk5OjqqpKIBC4K+bk5DS3IoPBuHDhgri4OP5WR0fH1taWu5TJZDboegSdofzqQQ6tTHbFQRaRjBr9hzOZTA6HQyTCPVYCBodDV9DspyCnKjF+UeW9kxXhd8RGTuZ7XL0Li8VisVgkUrPPhiSRSH88ZfGUCNlsdv0NkUik5g7CX79+TZ069ejRo3gDscGKZDK5haOXzWbHx8cLCwvjbwkEApvNrr+0/lvQGWrfPan7/l58/CKCsmaT/9tsNpvD4cAHIXBwOHQFLXwKlCFjKEmxVU+ukLWNSKo6fA6sV2H/V3MVePnhzlMiVFFRqaqqqqmpERMTQwgVFhaqqqo2rvb79+/Ro0evXbt2wYIF3BWLioq4FQoKCszNzZvbi6io6LFjx2RlZZtcymQyRUREeIkWtEEVE739lmEUelHEwELGbhoiND1qkEQicTgc7o8VIChwOHQFLX8KlDnrc32XpZw/GOhwfM8wqjA8zb5z4C3Cdh4OPF3j6tOnj66u7osXLxBCHA4nLCzM2toaIcRms8vLy/E6BQUFY8aMWbJkycqVK7krmpubl5SU/Pz5EyFUXV0dHR2Nrwi6FCYHjQupId7aX4bEpV08m8uCAADeEUWpd8zXydTk9wk/5RUDzfcujadESCAQb56wfAAAIABJREFUNm3atGzZsqNHj86aNYtEIk2cOBEh9OHDB27H4dSpU8vKytLT093c3Nzc3C5duoQQkpKSWrFihbOzs5+f34QJE2xsbIyNjTvtbwFttCWWPe7bmX70TE9NT0xcRtDhANBDKPQbcFxh5vTyl7+jw0Oz4caZrovXsdILFy7U0NAICwuztLQ8c+aMkJAQQqhv376nT5/GK6xcubKiooJbX0tLC3+xd+9eMzOzT58+zZw5k3vJFHQdr/OxhDdvA0qfnlCYPs7aTAjugwGgg8zWJQb/5RIdkbAn5+Sc5/qDZmmqiAk6JtAUAtZlbvCVk5NLSUlpro+QRqNJSEjwOaQer6wOjbmZf+HrqiwhJf8RBx6PE2n5qih+1yj0EQocHA5dAS+fAvcQyxZSOsHDIQZai399hKCnWhzFWp98mMJhbtddd8EGDlEAOpiMMNo/WmmD6kqT2pSBn4OOJTQxPyUQOEiEvdeFZI56zHWrqq8b1VZsH6OhLCrogADoiWxVCcbDrQJlxy4tvvsw4ktCWVe5CAe4IBH2UmmV2Jnw5DVFN+/K2KgNtf5bHVqDAHQWH3NS8IAlqcLqvlmHlz6vqIN7SLsYSIS9EQdDrpH03b+OFJMkr/ZzOzAEhjgB0IkoRHTRVnSjlqcCq2Jq4tktsZAJuxZIhL3RnjjOyPiL+nVZG9VX+dtJicJzlgDoZP2lCfNH6fspOE8ve5n4JioiDy6QdiGQCHudz8VYWNTnhSWPLshOsLMeYqEAF0UB4IdlhsTUwTPiRPV35Zxc87y4rE7QAYH/gkTYu9SwkOvLyv3Zx9KF1V6ZLPAygS8AAHxCQOjsKOFdfT3EOHSvlCOro+FB9l0FnAd7l3Uf2HMTA5SYpZu0PM7YiJKgNQgAHymKoo32mnuVF4yq+sz69OxGGoym6BIgEfYiz3OwjA/RU8sijinOWGJnoCsJaRAAfpusScQsJ0ZKmG3PO7sv4nduDXQWCh4kwt6inIHWh5fszfH/JtI323zGQn346AEQjKNWZD/9VUwCeVv6UbfXTMiEAgdnw95iZTTbI/m4BFazQ9fz5AiYIw0AgZEUQofHKG5XdbOo+aH+5d65RLhAKmCQCHuFh5kczscno2kxu5QWeo3WVoRJZAAQqGFKBM3hto+khq8rvBoQkZZaCc1CQYJE2PMV0dGOl7lb8s6/oZoSLCdM0YIPHQDB221OCjJYVk6SOPDrwJLwWjakQsGBc2LPt+wta1PaUQwRD+quPmQJg+cB6BKESeiEvcx69dV6jOyhCdeOf4cLpAIDibCHu5LCUYq5ZVmdsFnVffdoFRnoHASgyxgkRxgxwvyajMPS4rv3I+K/w3zcAgKJsCf7XY0dj8jwKLrxVNJS1crGoQ+MlwCga9k8kBRstDiTorI/++iKyCrIhAIBibAnOxzP2JNxsIJIDei/aj/MrA1A1yNERGdsxb01Vqsyi8Z8u1AK864JAiTCnswx9ZZhbcYW9eV+o2XEoXMQgC7JSIaw1NH4jurkOWVPqVlxgg6nN4JE2GMxczOM4m9WDrA7ON9qqCJcFAWg65qjS/T0WEhRUi+7fgSrqxV0OL0OJMIeisMuu36EICref6argTRkQQC6OgJZSGamJ6u8qOLxJUHH0utAIuyZaC9vM7KTZZxXEalSgo4FAMATilZ/6ohJVVHBdWnfBB1L7wKJsAdiFWRXPr8mNniUqMkwQccCAGgFqb8XkOVUyq4dwhh0QcfSi0Ai7HEwrPTGUQJFRHqKu6BDAQC0DoEiLDt7Lau0oDL0iqBj6UUgEfY0tIi7jIzvMtNWEKnSgo4FANBqFG0j6rC/aa/u16V/F3QsvQUkwh6FVZRT+eSKqImV6KCRgo4FANBGUhMWkWUUy24exZgMQcfSK0Ai7EEwrOz6EQJFRHraSkGHAgBoO4KwqMwsD1bh78qnQYKOpVeARNhzVL1+UJeeID1lKUlSRtCxAADaRVhvoLilIy3iDiMrWdCx9HyQCHsIVkl+RegVEcMhYma2go4FANABpCYtIUnKZV8++CITJl7rXJAIewLvGNaDo0cZHKKM8ypBxwIA6BhEEbFEOw9Kafbzq9fPwFPsOxMkwm7vYSYnN/KxJS1ul+pikrS8oMMBAHSYNMWBd6RtlxfevhCRlAWPpug0kAi7t3IG8gnP986/9IZqShhsL+hwAAAdaa4u8Vp/1yIh6Z1Zx5e9hguknQUSYfe2/j3LI+0EIhD29119AJ4+D0DPIkxCx20kN6stM6zN6Bt/50oKXCDtFJAIu7GIPKwyJmxU1ec9Sgu22CjD0+cB6HmGKhKMLC0fSo1cXXjTL/JXITyaohNAIuyualnIK7JsU/7FGDEj+uBxU7TgowSgZ9plTjqnt5RGEtuScczjPUvQ4fRAcPbsrnZ+Yc9POi3Jrt6tufyoFTx9HoAeS5yMDtvJ7FFeOLgmifDxyaMsuEDawSARdktfS7GP0Z8ml7/yU5i+zFpLVQyeOAhAT2ajQhCxsI8SH/hvwcUdkUU0pqAD6lkgEXY/bAwti6jZmXMqTVjt24Dp//SDDxGAnu+wJelQ32VkDmtx2pktsWxBh9OjwDm0+zmawLFJvNqHUbBJfZXfSFFoDALQG8gJI89RfY4pzhxf8Tbx3bvoAhhW2GEgEXYzmVXY9bdpi4qDr8o6Thxh3F8a8iAAvYVLX+LvwdMSRHV25570fF3JgL7CDtK6RIhhGIbBzxBBWvqa6ZN5rIwsEdp//lpj+B0DQO9ybJjQTo0V8qzycYlBvvGQCTsGr2dSNpvt7u4uJSUlJSXl4eHB4TT8AIqKitzc3MzMzPr27Uuj0bjlq1ev7vtfgwcP7rDAe6WgVI76t4fGtanbVN2O2EqRIQ8C0MtoUAkzR/a/Ivv3/NLHIdE/kiugZdIBeD2VXrhw4e3bt1lZWRkZGU+ePLlx40aDCgwGo2/fvl5eXunp6fXTZGFh4fz581+8ePHixYt79+51WOC9T0kdOvA6b13B1RcSQ/SsRpjLw0VRAHqjFYbE8AHzCsiyPtknlr+ug0zYfrwmwkuXLq1YsUJaWlpOTs7d3f3SpUsNKqipqXl5eY0c2cSD0eXl5XV0dHR0dLS0tNoXba+2/gN7TcZpDiKc0nPfMRgGDgLQSxEJ6Pgo6ha15Qb0X/0S7sG8a+3HayJMSUkxNDTEXxsaGqampvK+jx07digqKlpZWT19+rSFahiGlZeXl/0XnU7nfRc93ut8rOxjpD0txldp7hZrJaqQoAMCAAiOsSxhoNWQx5LDPAuv+0Vmwbxr7cTrNM3l5eVUKhV/LSEhUVpayuOKK1eu3L9/v6ioaHBwsJOT04cPH0xMTJqsSaPRBg8eTCD854qfo6Pj2bNnuUurq6u5i3qbOjZaG153Nu9cvKgebeBYG9maqirBRMJkMjkcDpMJo3kFrDcfDl2HYD+FdfrIsa/b8K/xG375e771CbDspVOvsf6ruQoiIiJk8h8yHa+JUF5evqKiAn9dXl6uoKDA44pWVlb4i0WLFj18+DA4OLi5RCgpKZmSkiIrK9vkUgzDuJm4tzkQy56ZclqaVbm07/a7w0Wo4gI79vBEKCwM03sLWG8+HLoOwX4KVIT22InvK5i/N9f/9pfI9wYOo9V6428jPAuKiIi0ZyO8Xho1MDCIi4vDX8fFxRkYGLRhZxwOh0iEOx1bJ7kCi4z+6lwedkph6gJrPTXBZUEAQJfi0IfANh/7UcxwS8GFTZEldJhtpq14TUuurq7Hjh1LSkr68eOHv7//kiVL8PJJkyYlJCTgr2NjY79+/YoQiouL+/LlC0KIxWKdPHkyJSUlJyfHz88vPDx80qT/a+++A5o6+7eB3xmssAkrLBUQURAXQ0RAFBErTtC6RcVZfarWFmurHerTWme1P2sd4KCtrTioUAcKKlMRRx1FUHGwh2wSss77R55SXhVFgZyM6/NXcriTfHNOzrk44z732E74FiqLImRpiuCrgv97omGZ4TJ5vjP+jQCAf23zZq/r9h+OVDA9b9+Gm0jCd9TWQ6Pvv//+o0ePRo0axWQyV6xYMXr0aNn0+vp6iURCCKEoatWqVYSQwMDA9evXa2pqJiQkMBiM8+fPb9u2TSAQ9OrV688//3Rxcemkb6KSou5L+9w64iAsnNFt3S5/HSb2BgGgBQsdssjXbld52PKyX2alBuQ6ejoZYjPx1hiKc6cYLpf7mnOEdXV1+vr6ci6JdiMOPd59Y0mcoV/ZqI/+60F/lwmcI1QQ6rk6KBoFWQoUIcP+4H+RtoRFSQvn/vh+j3adLVM6cj1HCLRY9ezHRqb2Mec5n/ejPwUBQAExCIkeqn3UbWkXUcmwh7F0l6OUEISKqzE7qXv5LfHw2adDTTltPYYNAGqnix7jh2l9dfsPaUr6TVxWQHc5ygdBqKCkgsaaP/Zr2jn1GfEeus8DwBsZjpvP0NCqPraL7kKUD4JQQdXGR0vqqownfUjQbxoA2oClb2zw3kzB/ev8G5fprkXJIAgVkfBZXn16gp7vGA0bB7prAQCloTd4tGYX5+oTP0oFDXTXokwQhIqHoqpj/4+lZ2gwcgbdpQCAUmEwjMI+kNTX1J6OobsUZYIgVDj1afHCJzmG4xcytXXprgUAlIymbXe9Qe/Vp8SJCh7SXYvSQBAqFkldVW3CQe0e/Tn9/OmuBQCUksGocJauYVXsTqIw3cQVHIJQsdSc3EuJmoxCF9NdCAAoK6aOnuHYecLHOQ2Zrxv5DpohCBVI08PbjdeT9QPfZ5vb0F0LACgxjvtQre59a05FSeur6a5FCSAIFQUlEVf9vpPNtdQfNonuWgBA6RlPWkoJBYXHo6qFdJei8BCECiGjjNr10+/i0qdGExYxNDTpLgcAlB7bzPpJn/HkRuKU/dcf1uJk4esgCOlXIySLE4qHP/g93tCntpsn3eUAgIr4xW5KgYb5x493/ye1ie5aFBqCkH5rsiX/ebRbShj77OcZYVwHAOggEa7aa6wWOjU9tfsrLjZfSnc5igtBSLPbz6mHV9KH113daj71Uz9zTSwQAOggfbmMXl6e5wy8VpT9svFScb2I7oIUFba7dKII+fBSw9rCPX9rdy3qMya0GxYHAHSkdQNYO7stoAhjwaO9X9/AEPavhi0vnQ7kSj3uHbUSV3xls2i7D66RAYAOZqhJVvpafm/+fnBt5vWMa39X46qZV0AQ0qaqifyQUji/8kSs0dCh3q6OBhhlAgA63jRHZq7r+Ida1l8W7l6eKqC7HEWEIKTNmmzJfx7vERHWYftZkX0wAD0AdJbtPlpfWS/oKix2uHPyKK6aeQmCkB63n1MPr2YOq8vaYjHtCz9TXQxADwCdxsWY0ddzwFmDgcvKjnx3qQRXzbwAQUgDipBlqYLVRfvztG0LXUPGdsFSAIDO9dUA1i77+RRhhOcfWH8TV838f7AJpsHBXKnbnaPdhEVfWi3cNhg9BwGg0+lrkOWDLXebjh9bczkj42YOrpppAUEob7UisiO9ZFHF8T8Mff18+vYwxDUyACAP0xyZt3tPyte0+qLwp2VpuNfMvxCE8vb5NcniR3sYhDpkP/tTXCMDAPLCIGSrj/Y3vDlOTU9t78TjXjPNEIRydes5dfvKteDazO/N3v/E35KDa2QAQI56mzCcvL2T9N1XlP66LqWyQUx3QYoBQSg/FCEr0pq+LN7zSNPqUZ8JE7pi5gOAvH3Vn/VD13lalDA8/8A3uGqGEIIglKdfH0qd755waCpcbz1v6yBcIwMANDDUJIt8bX8yHR9WnXQx43ZuDa6aQRDKS72IfJtaubT86BmDgX29PZ2NcI0MANAj3Il5pdf7hRqmnxft+SQTh0cRhPKy/qZk4aM9bKl4V9eIz/riGhkAoA2DkK2+nG8s5rjyHxnc+jPhmbrvFCII5eFBLZVy5c7o2tT/Mwtb4WdliNtrAwCt+psyLLz8Lun1jyw9vDalqkm9zxUiCOVhRbrwy4Ifi9imt3qFTnPEPAcA+n3rwdreJUJXKpj44NC2O2rdlQIb5U73xxOpxa1TPQWP11ot/G4wB+cGAUARmGiRWT5do7ijpz4/G5f295N69T1AiiDsXGIp+TqlcnnZkcv6/R08B7qbIgcBQFEs6sk832NquYbxmme7d9xW38OjCMLOVSagpj48qC1t2my3YJ07rpEBAAXCYpDvfPU2Ws524+d5FSXRXQ5tEISdy+z5w4nVFxLsxm18z46LroMAoGAGWzI+njGszsrV92a0VNBAdzn0QBB2JoqqPv4jW8/og0VThlvjoCgAKCIPc6bj1EWS+uq6xCN010IPBGEnaryW1PToruGYuUxtDt21AAC0SsPGQdcrqP7iCXF5Id210ABB2FkoYVPNnwc1bbtz3IfRXQsAwBsYhsxmaGhVn9xLdyE0QBB2ltrEXyXV5UZhHxAGDooCgKJj6hnpB00R3M0U/H2N7lrkDUHYKcSVJfUXj3M8AjW7ONNdCwBAm+j5j2Ob21Sf3ENJ1OsGpG0NQoqioqKipk6dunz58qdPn77coKqqKiEhYf369d9//33L6UKhcMuWLZMnT16zZk11dXUHlKwMauL2ECbLcFQ43YUAALQVg8U2GjtPXPq0ITWe7lrkqq1BuGXLlu+++27ChAkMBsPX15fP57/Q4MSJE998801ycvKBAwdaTl+yZElcXNzkyZPz8vJGjx7dIUUruKa8m/y/0g2GT2YZcumuBQDgLWi7eGn39Kg9EyOtr6G7FvlpUxBKJJLt27f/8MMPYWFhW7duNTMzO3r06Att5syZk5qaGhER0XJiWVnZoUOHYmJixo0bd/jw4Xv37mVmZnZY7YpJKqk+vpvN5ekNmUB3KQAAb81o3HxKKKj58yDdhchPm4Lw2bNnRUVFfn5+sqf+/v5tzLObN29aW1vb2dkRQjQ0NLy9vVU+COvTEkTFjw3HzWewNeiuBQDgrbEtbHV9xzRknBY+y6O7Fjlht6VRSUmJvr6+pub/Rg8yNTXNyspq4wu53H8PD5qamhYXF7fWuKGhYezYsRoa/8sPHx+fyMjIln9lKPzllxS/ofb0YbZ9b0m33vX19XSX0/FEIpFUKhWJRHQXou6UYnVQeSq8FFi+4xnZSfdjdpVNXu9lptA34xb/o7UG2trabPYbkq5NQaijo9PU1NT8VCAQcDht6iH+Vi/U0tJatmyZgYGB7CmPx2vZWCKRtPFD6XL4AVXye/QUfoPxhEXail3qO5MFoZYWbhZHM8VfHdSBKi8FDudYj+mB1374/ETWqqm+XuaKm/eyFNTW1m6tAZP55gOfbQpCGxsboVBYWlpqYWFBCHn69KmNjU0bX1hQUCCRSFgsluyFQUFBrZbCZgcEBJiYmLzyr0wmsy3fhy6lfLIj+dGxijMHuaMm6nVzZiru76Y9ZItAkReEmlDw1UFNqPZSyO4WbH737GfF+z7J8Eger6uwWzTmP9r1Jm1pxOVyhwwZcvDgQUJIZWVlQkJCaGgoIaSiouKXX355zQs9PT11dXXj4+MJITk5OTdv3gwJCWlPuQrr82uSjwr21bM4CY5Tuhsq7G8GAKBNlruxNljP44kr+/19LOaBig/b29YU3bhx49atW4OCgvr37x8aGurh4UEIyc3NnTZtmqxBZmamg4PDsmXL7t275+DgEB4eTghhsVjff//93LlzR44c6efnt27dOnNz8875InS6UUkVZaX71V3fZDH9S19jFnIQAJScvT7D38sl3mDwB+WxO1JL6lX6wgAGRbX1RGh9fX12dralpWWPHj1kU4RCYVlZmewwKZ/Pb3khjI6ODo/Hkz2uqKi4fft29+7dX39Alcvl5uXltXZotK6uTl9fv42lytmwU4IvUxaLGOwdQ3eeHKHK589wjlBBKPLqoD5UfinUi4jvzyW//bUwUd+zZEzkugGKOKLqG88RtkWbzhHK6Onp+fv7t5yiqanZnG06Ojr29vavfKGpqWlAQMA7l6jgjuZLXe4c6yYsmmn/9Y8DNekuBwCgY+hpkGU+5j8VTVhe9svUjJGPnfp21VfN410qe6ZXPgQS8l1axQf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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.2631578947368424e-5"
     ]
    }
   ],
   "source": [
    "# Reference solution \n",
    "import Pkg\n",
    "#Pkg.add(\"LaTeXStrings\")\n",
    "using LinearAlgebra\n",
    "using Plots\n",
    "using LaTeXStrings\n",
    "\n",
    "function u(x,t)\n",
    "    # returns reference solution vector for fixed t\n",
    "    u_ref = zeros(size(x))\n",
    "    for k =1:100\n",
    "        u_ref = u_ref .+ (8/(k^2*pi^2))* sin(k*pi/2)* exp(-(k*pi)^2 *t) *sin.(k*pi*x)\n",
    "    end\n",
    "    return u_ref\n",
    "end\n",
    "\n",
    "# initial condition \n",
    "f(x) = (x≤0.5) .*2*x + 2*(x>0.5) .*(1-x)\n",
    "\n",
    "# Numerical solver to time t =0.1 \n",
    "\n",
    "\n",
    "function v(M, n)\n",
    "\n",
    "    Δt = 1/M;\n",
    "    print(Δt)\n",
    "    Δx = 1/(n+1); x = (1:n)*Δx;\n",
    "    subDiag = -ones(n-1); supDiag = subDiag;\n",
    "    diag = 2*ones(n)\n",
    "    A = LinearAlgebra.Tridiagonal(subDiag, diag, supDiag);\n",
    "\n",
    "    #computing v^m, meaning v at time t=0.1\n",
    "    m = M/10;\n",
    "    v0 = f.(x);\n",
    "    v = (I- (Δt/Δx^2)*A)^(m) *v0;\n",
    "    \n",
    "    return v;\n",
    "end\n",
    "\n",
    "\n",
    "# Plot of solutions at t =0.1:\n",
    "n = 99; \n",
    "Δx = 1/(n+1); \n",
    "x = (1:n)*Δx\n",
    "uRef = u.(x,0.1);\n",
    "\n",
    "M = 20000; \n",
    "Δt = 1/M;\n",
    "vSol = v(M,n);\n",
    "plt= plot(x,[uRef, vSol], label = [\"u(x,0.1)\" \"v(x,0.1)\"], lw = [3 1.5], ls = [:dash :solid]);\n",
    "title!(L\"\\Delta x = 0.01 \\quad and \\quad \\frac{\\Delta t}{\\Delta x^2} = \"*string(Δt/Δx^2), legendfontsize=13)\n",
    "xlabel!(L\"x\");\n",
    "display(plt);\n",
    "\n",
    "M = 19980; \n",
    "Δt = 1/M\n",
    "vSol = v(M,n)\n",
    "plt= plot(x,[uRef, vSol], label = [\"u(x,0.1)\" \"v(x,0.1)\"], lw = 2, ls = [:dash :solid], legendfontsize=13);\n",
    "title!(L\"\\Delta x = 0.01 \\quad and \\quad \\frac{\\Delta t}{\\Delta x^2} = \"*string(Δt/Δx^2))\n",
    "xlabel!(L\"x\")\n",
    "display(plt)\n",
    "\n",
    "\n",
    "M = 19000; \n",
    "Δt = 1/M\n",
    "vSol = v(M,n)\n",
    "plt= plot(x,[uRef, vSol], label = [\"u(x,0.1)\" \"v(x,0.1)\"], lw = [2 1.5], ls = [:dash :solid], legendfontsize=13);\n",
    "title!(L\"\\Delta x = 0.01 \\quad and \\quad \\frac{\\Delta t}{\\Delta x^2} = \"*string(Δt/Δx^2))\n",
    "xlabel!(L\"x\")\n",
    "display(plt)\n",
    "\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For comparison, we also consider the following implicit scheme for solving the heat equation: \n",
    "$$\n",
    "\\frac{v^{m+1}_j - v_{j}^m}{\\Delta t} = \\frac{v^{m+1}_{j-1} - 2v_{j}^{m+1} + v^{m+1}_{j+1}}{\\Delta x^2}\n",
    "$$\n",
    "\n",
    "Viewing $v^m$ as a vector in $\\mathbb{R}^n$ and $A$ as our standard tridiagonal matrix, we can write the implicit scheme by\n",
    "$$\n",
    "v^{m+1} = (I + \\frac{\\Delta t}{\\Delta x^2} A)^{-1} v^m.\n",
    "$$\n",
    "\n",
    "For resolutions, we still use $\\Delta x = 1/100$, but now use $\\Delta t = 1/M$ for the values $M = 10, 100$ and $200$, i.e., much larger time steps.  \n",
    "\n",
    "Note that the CFL condition for the above scheme:  \n",
    "$$\n",
    "\\frac{\\Delta t}{\\Delta x^2} \\le \\frac{1}{2},\n",
    "$$\n",
    "does not hold for any of our current  $\\Delta t$ values. \n",
    "\n",
    "\n",
    "The tests below show that the numerical solution does not suffer from instability for any of the choices of $\\Delta t$. This is because the implicit scheme is unconditionally Neumann stable!\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.005"
     ]
    }
   ],
   "source": [
    "function vImplicit(M, n)\n",
    "\n",
    "    Δt = 1/M;\n",
    "    print(Δt)\n",
    "    Δx = 1/(n+1); x = (1:n)*Δx;\n",
    "    subDiag = -ones(n-1); supDiag = subDiag;\n",
    "    diag = 2*ones(n)\n",
    "    A = LinearAlgebra.Tridiagonal(subDiag, diag, supDiag);\n",
    "\n",
    "    #computing v^m, meaning v at time t=0.1\n",
    "    m = M/10;\n",
    "    v0 = f.(x);\n",
    "    v = (I + (Δt/Δx^2)*A)^(-m)*v0;\n",
    "    \n",
    "    return v;\n",
    "end\n",
    "\n",
    "\n",
    "# Plot of solutions at t =0.1:\n",
    "n = 99; \n",
    "Δx = 1/(n+1); \n",
    "x = (1:n)*Δx\n",
    "uRef = u.(x,0.1);\n",
    "\n",
    "M = 10; \n",
    "Δt = 1/M\n",
    "vSol = vImplicit(M,n)\n",
    "plt= plot(x,[uRef, vSol], label = [\"u(x,0.1)\" \"v(x,0.1)\"], lw = [2 1.5], ls = [:dash :solid], legendfontsize=13);\n",
    "title!(L\"\\mathrm{Implicit \\; scheme} \\quad \\Delta x = 0.01 \\quad and \\quad \\Delta t = \"*string(Δt))\n",
    "xlabel!(L\"x\")\n",
    "display(plt)\n",
    "\n",
    "M = 100; \n",
    "Δt = 1/M\n",
    "vSol = vImplicit(M,n)\n",
    "plt= plot(x,[uRef, vSol], label = [\"u(x,0.1)\" \"v(x,0.1)\"], lw = 2, ls = [:dash :solid], legendfontsize=13);\n",
    "title!(L\"\\mathrm{Implicit \\; scheme} \\quad \\Delta x = 0.01 \\quad and \\quad \\Delta t = \"*string(Δt))\n",
    "xlabel!(L\"x\")\n",
    "display(plt)\n",
    "\n",
    "\n",
    "M = 200; \n",
    "Δt = 1/M;\n",
    "vSol = vImplicit(M,n);\n",
    "plt= plot(x,[uRef, vSol], label = [\"u(x,0.1)\" \"v(x,0.1)\"], lw = [3 1.5], ls = [:dash :solid]);\n",
    "title!(L\"\\mathrm{Implicit \\; scheme} \\quad \\Delta x = 0.01 \\quad and \\quad \\Delta t = \"*string(Δt), legendfontsize=13)\n",
    "xlabel!(L\"x\");\n",
    "display(plt);\n",
    "\n"
   ]
  }
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