HW5-1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import copy as cp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm\n",
    "from mpl_toolkits.axes_grid1.axes_grid import ImageGrid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def forcing(xPoint, yPoint):\n",
    "    return 6. * xPoint * yPoint * (1. - yPoint) - 2. * (xPoint ** 3)\n",
    "\n",
    "\n",
    "def Poisson(method, nPoints, maxIter, beta = 1.5):\n",
    "    xPoints = np.linspace(0., 1., nPoints)\n",
    "    yPoints = np.linspace(0., 1., nPoints)\n",
    "    \n",
    "    dx = xPoints[1] - xPoints[0]\n",
    "    \n",
    "    grids = np.zeros((nPoints, nPoints), dtype = float)\n",
    "    \n",
    "    grids[:,  0] = 0.\n",
    "    grids[:, -1] = [yPoint * (1. - yPoint) for yPoint in yPoints]\n",
    "    grids[ 0, :] = 0.\n",
    "    grids[-1, :] = 0.\n",
    "    \n",
    "    for n in tqdm(range(maxIter), total = maxIter, desc = method.upper()):\n",
    "        if n == 0:\n",
    "            gridsOld = cp.deepcopy(grids)\n",
    "            gridsNew = cp.deepcopy(grids)\n",
    "            \n",
    "        for i, xPoint in enumerate(xPoints[1 : -1]):\n",
    "            i += 1\n",
    "            for j, yPoint in enumerate(yPoints[1 : -1]):\n",
    "                j += 1\n",
    "                \n",
    "                if method == \"jacobi\":\n",
    "                    gridsNew[j, i] = (gridsOld[j, i + 1] + gridsOld[j, i - 1] + gridsOld[j + 1, i] + gridsOld[j - 1, i] - (dx ** 2) * forcing(xPoint, yPoint)) / 4.\n",
    "                \n",
    "                elif method == \"gauss\":\n",
    "                    gridsNew[j, i] = (gridsOld[j, i + 1] + gridsNew[j, i - 1] + gridsOld[j + 1, i] + gridsNew[j - 1, i] - (dx ** 2) * forcing(xPoint, yPoint)) / 4.\n",
    "                    \n",
    "                elif method == \"sor\":\n",
    "                    gridsNew[j, i] = (beta * (gridsOld[j, i + 1] + gridsNew[j, i - 1] + gridsOld[j + 1, i] + gridsNew[j - 1, i] - (dx ** 2) * forcing(xPoint, yPoint)) / 4.) + ((1. - beta) * gridsOld[j, i])\n",
    "                \n",
    "        gridsOld = cp.deepcopy(gridsNew)\n",
    "    \n",
    "    xx, yy = np.meshgrid(np.append(xPoints, 1. + dx), np.append(yPoints, 1. + dx))\n",
    "    \n",
    "    return xx, yy, gridsNew\n",
    "\n",
    "\n",
    "def Analytic(nPoints):\n",
    "    xPoints = np.linspace(0., 1., nPoints)\n",
    "    yPoints = np.linspace(0., 1., nPoints)\n",
    "    \n",
    "    dx = xPoints[1] - xPoints[0]\n",
    "    \n",
    "    grids = np.zeros((nPoints, nPoints), dtype = float)\n",
    "    \n",
    "    for i, xPoint in enumerate(xPoints):\n",
    "        for j, yPoint in enumerate(yPoints):\n",
    "            grids[j, i] = yPoint * (1. - yPoint) * (xPoint ** 3)\n",
    "    \n",
    "    xx, yy = np.meshgrid(np.append(xPoints, 1. + dx), np.append(yPoints, 1. + dx))\n",
    "    \n",
    "    return xx, yy, grids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "JACOBI: 100%|██████████| 10/10 [00:00<00:00, 3341.28it/s]\n",
      "JACOBI: 100%|██████████| 100/100 [00:00<00:00, 4177.88it/s]\n",
      "JACOBI: 100%|██████████| 1000/1000 [00:00<00:00, 4456.33it/s]\n",
      "JACOBI: 100%|██████████| 10/10 [00:00<00:00, 139.26it/s]\n",
      "JACOBI: 100%|██████████| 100/100 [00:00<00:00, 137.72it/s]\n",
      "JACOBI: 100%|██████████| 1000/1000 [00:07<00:00, 136.29it/s]\n",
      "JACOBI: 100%|██████████| 10/10 [00:00<00:00, 34.46it/s]\n",
      "JACOBI: 100%|██████████| 100/100 [00:03<00:00, 33.12it/s]\n",
      "JACOBI: 100%|██████████| 1000/1000 [00:30<00:00, 32.74it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nPoints  = [10, 50, 100]\n",
    "maxIters = [10, 100, 1000]\n",
    "\n",
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"jacobi\", nPoints[n], maxIters[i])\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid, cmap = \"jet\", vmin = 0., vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_jacobi.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GAUSS: 100%|██████████| 10/10 [00:00<00:00, 3342.61it/s]\n",
      "GAUSS: 100%|██████████| 100/100 [00:00<00:00, 4178.05it/s]\n",
      "GAUSS: 100%|██████████| 1000/1000 [00:00<00:00, 4620.61it/s]\n",
      "GAUSS: 100%|██████████| 10/10 [00:00<00:00, 139.26it/s]\n",
      "GAUSS: 100%|██████████| 100/100 [00:00<00:00, 136.04it/s]\n",
      "GAUSS: 100%|██████████| 1000/1000 [00:07<00:00, 137.58it/s]\n",
      "GAUSS: 100%|██████████| 10/10 [00:00<00:00, 33.64it/s]\n",
      "GAUSS: 100%|██████████| 100/100 [00:03<00:00, 33.10it/s]\n",
      "GAUSS: 100%|██████████| 1000/1000 [00:29<00:00, 33.63it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"gauss\", nPoints[n], maxIters[i])\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid, cmap = \"jet\", vmin = 0., vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_gauss.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 3341.01it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 3856.51it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:00<00:00, 3962.87it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 116.55it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 120.80it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:08<00:00, 119.01it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 27.85it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:03<00:00, 27.99it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:35<00:00, 28.41it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"sor\", nPoints[n], maxIters[i], beta = 1.5)\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid, cmap = \"jet\", vmin = 0., vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_sor_1.5.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 3341.81it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 3342.13it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:00<00:00, 3856.45it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 117.92it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 117.54it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:08<00:00, 114.97it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 28.32it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:03<00:00, 27.65it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:35<00:00, 28.05it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"sor\", nPoints[n], maxIters[i], beta = 1.7)\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid, cmap = \"jet\", vmin = 0., vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_sor_1.7.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 3374.61it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 3717.66it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:00<00:00, 3886.36it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 116.55it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 116.99it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:08<00:00, 116.02it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 27.85it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:03<00:00, 27.74it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:35<00:00, 28.30it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"sor\", nPoints[n], maxIters[i], beta = 1.9)\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid, cmap = \"jet\", vmin = 0., vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_sor_1.9.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x720 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (3, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 1), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    xx, yy, grid = Analytic(nPoints[s])\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid, cmap = \"jet\", vmin = 0., vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_analytic.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "JACOBI: 100%|██████████| 10/10 [00:00<00:00, 3342.07it/s]\n",
      "JACOBI: 100%|██████████| 100/100 [00:00<00:00, 4359.53it/s]\n",
      "JACOBI: 100%|██████████| 1000/1000 [00:00<00:00, 4557.48it/s]\n",
      "JACOBI: 100%|██████████| 10/10 [00:00<00:00, 139.21it/s]\n",
      "JACOBI: 100%|██████████| 100/100 [00:00<00:00, 134.77it/s]\n",
      "JACOBI: 100%|██████████| 1000/1000 [00:07<00:00, 135.22it/s]\n",
      "JACOBI: 100%|██████████| 10/10 [00:00<00:00, 32.87it/s]\n",
      "JACOBI: 100%|██████████| 100/100 [00:03<00:00, 33.33it/s]\n",
      "JACOBI: 100%|██████████| 1000/1000 [00:30<00:00, 32.98it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"jacobi\", nPoints[n], maxIters[i])\n",
    "    _ , _ , ref  = Analytic(nPoints[n])\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid - ref, cmap = \"seismic\", vmin = -0.25, vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_diff_jacobi.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GAUSS: 100%|██████████| 10/10 [00:00<00:00, 5016.51it/s]\n",
      "GAUSS: 100%|██████████| 100/100 [00:00<00:00, 4359.44it/s]\n",
      "GAUSS: 100%|██████████| 1000/1000 [00:00<00:00, 4517.11it/s]\n",
      "GAUSS: 100%|██████████| 10/10 [00:00<00:00, 128.55it/s]\n",
      "GAUSS: 100%|██████████| 100/100 [00:00<00:00, 128.81it/s]\n",
      "GAUSS: 100%|██████████| 1000/1000 [00:07<00:00, 136.32it/s]\n",
      "GAUSS: 100%|██████████| 10/10 [00:00<00:00, 33.53it/s]\n",
      "GAUSS: 100%|██████████| 100/100 [00:03<00:00, 33.00it/s]\n",
      "GAUSS: 100%|██████████| 1000/1000 [00:30<00:00, 33.03it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"gauss\", nPoints[n], maxIters[i])\n",
    "    _ , _ , ref  = Analytic(nPoints[n])\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid - ref, cmap = \"seismic\", vmin = -0.25, vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_diff_gauss.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 2506.31it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 3580.96it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:00<00:00, 3924.23it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 116.59it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 116.73it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:08<00:00, 116.17it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 28.40it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:03<00:00, 28.13it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:36<00:00, 27.67it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"sor\", nPoints[n], maxIters[i], beta = 1.5)\n",
    "    _ , _ , ref  = Analytic(nPoints[n])\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid - ref, cmap = \"seismic\", vmin = -0.25, vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_diff_sor_1.5.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 2516.68it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 4006.33it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:00<00:00, 3848.52it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 119.33it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 112.21it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:08<00:00, 113.38it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 27.17it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:03<00:00, 27.66it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:36<00:00, 27.46it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"sor\", nPoints[n], maxIters[i], beta = 1.7)\n",
    "    _ , _ , ref  = Analytic(nPoints[n])\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid - ref, cmap = \"seismic\", vmin = -0.25, vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_diff_sor_1.7.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 3342.61it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 2785.21it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:00<00:00, 3672.33it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 113.94it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:00<00:00, 109.39it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:08<00:00, 116.06it/s]\n",
      "SOR: 100%|██████████| 10/10 [00:00<00:00, 28.09it/s]\n",
      "SOR: 100%|██████████| 100/100 [00:03<00:00, 27.01it/s]\n",
      "SOR: 100%|██████████| 1000/1000 [00:36<00:00, 27.40it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 18 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig  = plt.figure(figsize = (10, 10))\n",
    "subs = ImageGrid(fig, 111, nrows_ncols = (3, 3), axes_pad = 0.15, cbar_mode = \"single\", cbar_location = \"bottom\", cbar_pad = 0.15)\n",
    "\n",
    "for s, sub in enumerate(subs):\n",
    "    n = s // len(maxIters)\n",
    "    i = s %  len(maxIters)\n",
    "    \n",
    "    xx, yy, grid = Poisson(\"sor\", nPoints[n], maxIters[i], beta = 1.9)\n",
    "    _ , _ , ref  = Analytic(nPoints[n])\n",
    "    \n",
    "    plot = sub.pcolor(xx, yy, grid - ref, cmap = \"seismic\", vmin = -0.25, vmax = 0.25)\n",
    "\n",
    "cb = subs.cbar_axes[0].colorbar(plot)\n",
    "\n",
    "plt.savefig(\"./HW5/5_1_diff_sor_1.9.png\", dpi = 500, bbox_inches = \"tight\")"
   ]
  }
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