diff --git a/content/GA_1_5/GA_1_5_Analysis.ipynb b/content/GA_1_5/GA_1_5_Analysis.ipynb index 82e41060413b351d3681093a22191836fdff9922..ded79cc0b934008a91ea1ba580f16cb84ff19dda 100644 --- a/content/GA_1_5/GA_1_5_Analysis.ipynb +++ b/content/GA_1_5/GA_1_5_Analysis.ipynb @@ -96,10 +96,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "87dd870e", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 1500x400 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "data=pd.read_csv(filepath_or_buffer='justIce.csv',index_col=0)\n", "data.index = pd.to_datetime(data.index, format=\"%Y-%m-%d\")\n", @@ -139,10 +150,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "b07eb42c", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 1500x400 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "data_2021 = data.loc['2021']\n", "\n", @@ -171,7 +193,7 @@ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", "<p>\n", "\n", - "<b>Task 1.1:</b> Use Forward Euler to estimate the growth rate of the ice, using <em>only</em> the variables <code>h_ice</code> and <code>t_days</code> (i.e., no need to write a function).\n", + "<b>Task 1.1:</b> Use Forward Difference to estimate the growth rate of the ice, using <em>only</em> the variables <code>h_ice</code> and <code>t_days</code> (i.e., no need to write a function).\n", "\n", "</ol>\n", "</p>\n", @@ -196,7 +218,7 @@ "h_ice = (data_2021.to_numpy()).ravel()\n", "t_days = ((data_2021.index - data_2021.index[0]).days).to_numpy()\n", "\n", - "dh_dt_FE = YOUR_CODE_HERE" + "dh_dt_FD = YOUR_CODE_HERE" ] }, { @@ -232,8 +254,8 @@ "source": [ "fig, ax1 = plt.subplots(figsize=(15,4))\n", "\n", - "ax1.scatter(YOUR_CODE_HERE, dh_dt_FE,\n", - " color='blue', marker='o', label='dh_dt_FE Forward Euler')\\\n", + "ax1.scatter(YOUR_CODE_HERE, dh_dt_FD,\n", + " color='blue', marker='o', label='dh_dt_FD Forward Difference')\\\n", "\n", "ax1.set_xlabel('Days')\n", "ax1.set_ylabel('Growth Rate [cm/day]', color='blue')\n", @@ -262,7 +284,7 @@ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", "<p>\n", "\n", - "<b>Task 1.3:</b> Use backward Euler to compute the ice growth rate and plot it, together with the previous estimation and the ice thickness.\n", + "<b>Task 1.3:</b> Use backward Difference to compute the ice growth rate and plot it, together with the previous estimation and the ice thickness.\n", "\n", "</p>\n", "</div>" @@ -275,14 +297,14 @@ "metadata": {}, "outputs": [], "source": [ - "dh_dt_BE = YOUR_CODE_HERE\n", + "dh_dt_BD = \n", "\n", "fig, ax1 = plt.subplots(figsize=(15,4))\n", "\n", - "ax1.scatter(YOUR_CODE_HERE, dh_dt_FE,\n", - " color='blue', marker='o', label='dh_dt_FE Forward Euler')\n", - "ax1.scatter(YOUR_CODE_HERE, dh_dt_BE,\n", - " color='red', marker='o', label='dh_dt_BE Backward Euler')\n", + "ax1.scatter(YOUR_CODE_HERE, dh_dt_FD,\n", + " color='blue', marker='o', label='dh_dt_FD Forward Difference')\n", + "ax1.scatter(YOUR_CODE_HERE, dh_dt_BD,\n", + " color='red', marker='o', label='dh_dt_BD Backward Difference')\n", "\n", "ax1.set_xlabel('Days')\n", "ax1.set_ylabel('Growth Rate [cm/day]', color='blue')\n", @@ -330,10 +352,10 @@ "\n", "fig, ax1 = plt.subplots(figsize=(15,4))\n", "\n", - "ax1.scatter(YOUR_CODE_HERE, dh_dt_FE,\n", - " color='blue', marker='o', label='dh_dt_FE Forward Euler')\n", - "ax1.scatter(YOUR_CODE_HERE, dh_dt_BE,\n", - " color='red', marker='o', label='dh_dt_BE Backward Euler')\n", + "ax1.scatter(YOUR_CODE_HERE, dh_dt_FD,\n", + " color='blue', marker='o', label='dh_dt_FD Forward Difference')\n", + "ax1.scatter(YOUR_CODE_HERE, dh_dt_BD,\n", + " color='red', marker='o', label='dh_dt_BE Backward Difference')\n", "ax1.scatter(YOUR_CODE_HERE, dh_dt_CD,\n", " color='purple', marker='o', label='dh_dt_CD Central Difference')\n", "\n", @@ -387,6 +409,7 @@ "<p>\n", "<b>Task 2.0:</b> Write the derivation of the backward difference second order accurate! Insert an image of your math below. \n", "\n", + "(You **don't** have to use this formula later on)\n", "</p>\n", "</div>" ] diff --git a/content/GA_1_5/GA_1_5_Analysis_solution.ipynb b/content/GA_1_5/GA_1_5_Analysis_solution.ipynb index 9f113e5c0ca5781fab9f888c15b5cc85fdd446a6..ead33e193d5a5dd2a7b43768b7a3e50c4ba75726 100644 --- a/content/GA_1_5/GA_1_5_Analysis_solution.ipynb +++ b/content/GA_1_5/GA_1_5_Analysis_solution.ipynb @@ -55,7 +55,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 1, "id": "b7c0f84b-51eb-41b4-b1a9-9a5270287193", "metadata": { "tags": [] @@ -96,7 +96,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 2, "id": "87dd870e", "metadata": {}, "outputs": [ @@ -150,7 +150,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 3, "id": "b07eb42c", "metadata": {}, "outputs": [ @@ -193,7 +193,7 @@ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", "<p>\n", "\n", - "<b>Task 1.1:</b> Use Forward Euler to estimate the growth rate of the ice, using <em>only</em> the variables <code>h_ice</code> and <code>t_days</code> (i.e., no need to write a function).\n", + "<b>Task 1.1:</b> Use Forward Difference to estimate the growth rate of the ice, using <em>only</em> the variables <code>h_ice</code> and <code>t_days</code> (i.e., no need to write a function).\n", "\n", "</ol>\n", "</p>\n", @@ -210,7 +210,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 4, "id": "171d557c", "metadata": {}, "outputs": [], @@ -218,10 +218,10 @@ "h_ice = (data_2021.to_numpy()).ravel()\n", "t_days = ((data_2021.index - data_2021.index[0]).days).to_numpy()\n", "\n", - "# dh_dt_FE = YOUR_CODE_HERE\n", + "# dh_dt_FD = YOUR_CODE_HERE\n", "\n", "# SOLUTION:\n", - "dh_dt_FE = (h_ice[1:]-h_ice[:-1])/(t_days[1:]-t_days[:-1]) " + "dh_dt_FD = (h_ice[1:]-h_ice[:-1])/(t_days[1:]-t_days[:-1]) " ] }, { @@ -250,13 +250,13 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 5, "id": "25592875", "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ "<Figure size 1500x400 with 2 Axes>" ] @@ -272,8 +272,8 @@ "# color='blue', marker='o', label='dh_dt_FE Forward Euler')\n", "\n", "# SOLUTION:\n", - "ax1.scatter(t_days[:-1], dh_dt_FE,\n", - " color='blue', marker='o', label='dh_dt_FE Forward Euler')\n", + "ax1.scatter(t_days[:-1], dh_dt_FD,\n", + " color='blue', marker='o', label='dh_dt_FD Forward Difference')\n", "\n", "ax1.set_xlabel('Days')\n", "ax1.set_ylabel('Growth Rate [cm/day]', color='blue')\n", @@ -302,7 +302,7 @@ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n", "<p>\n", "\n", - "<b>Task 1.3:</b> Use backward Euler to compute the ice growth rate and plot it, together with the previous estimation and the ice thickness.\n", + "<b>Task 1.3:</b> Use backward Difference to compute the ice growth rate and plot it, together with the previous estimation and the ice thickness.\n", "\n", "</p>\n", "</div>" @@ -310,13 +310,13 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 6, "id": "108dea5f", "metadata": {}, "outputs": [ { "data": { - "image/png": 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3riuvvFKbNm0qdVfksLAwNWjQQPv37y/RfkWTogAAoHKqLOsgAgBQlZAgdAJ3bXRVs2ZNjRkzRs8995zWrVunXbt2afTo0eVOvJTHsGHD5OXlpbFjx2rPnj366quv9Morr9jUadSokUwmk7744gsdO3bMZkfgisjNzVVaWppSUlL03//+V9OnT9eAAQPUv39/3X333Q61OXz4cAUEBGjUqFHatWuX1q9fr4cfflgjR460Ti8uS+vWrVW3bl0tXbrUmiCMjY3VJ598opycHF133XXWuk2aNNHKlSuVmJion376ScOGDSvXiM1HHnlEa9as0cyZM/Xbb7/pjTfeKPf04lOnTiktLU2HDh1SfHy8hgwZomXLluntt9+27lzsqOeee07vv/++4uLitHv3bu3du1cff/yxnnnmGZe87lwPPfSQMjIydOedd2rbtm36/ffftWTJEv3666+SpLi4OM2YMUNz587Vb7/9pp07d2rhwoWaPXt2he4ZAABUTmY/s0KDQktsSHLuxiWhQaEy+5ndHCkAAJ6DBKETuHOjq5kzZ6pLly4aOHCgevbsqeuuu04dO3Z0Wvs1a9bU559/rj179qh9+/aaPHmyXn75ZZs6DRo00NSpU/X0008rLCysxI7AjlqzZo0iIiIUHR2tPn36aP369Xrttdf06aefOjx9tEaNGvr666/1119/6aqrrtKQIUN044036o033rjoa00mk3WUYLf/ZXuvvPJKhYSEqH379goODrbWffXVV1W7dm116dJFt9xyi2666SZ16NDhote45pprtGDBAr3++utq166d1q5dW+5k2j333KOIiAg1b95c999/v2rWrKkffvhBw4YNK9frL+Smm27SF198ofj4eF111VW65pprNHv2bDVq1MglrztX3bp19e233yorK0vdu3dXx44d9e6771qnJd97771asGCBFi1apDZt2qh79+5atGgRIwgBAKiiitdB3DB6Q4lpxMXrIK4ZvuaSrIMIAEBVYTJcuchcJZOcnKyoqCglJSUpMtJ2fZQzZ87owIEDaty4sc3aaPZYuVIaP952w5KoKEtysJQl2JyiqKhIGRkZCg4OdurIQQBnFRUV6fjx4zp+/LhiYmIc/hkBoHT5+fn66quv1K9fv1I3JAJQcfQzwPXoZ4DrObufXShPVN2wSYkTsdEVAABA5ZB+Jr3UnXYlyxp2l2qnXQAAAE/AkDMnK97o6q67LF8re3Jw+vTpqlmzZqmPvn37OtTm4cOHy2yzZs2aOnz4sJPvAgAA4Kz0M+nqs7SPui/qrqT0JJtzSelJ6r6ou/os7aP0M+luihAAAKByYQRhNTdu3DgNHTq01HOBgYEOtVm/fn0lJiZe8DwAAICrZOZl6mj2UetutsUbWSSlJ1l3vy2uxyhCAAAAEoTVXp06dVSnTh2ntunj46MmTZo4tU0AAIDyigyOVMKoBGsyMHZxrJYMWqKRq0Zq/8n91t1vS5t+DAAAUB0xxRgAAABVTlRIlBJGJSimdoz2n9yvru91tUkOnr/7LQAUSz+TruSM5FLPJWckszwBgCqJBCEAAACqpKiQKC0ZtMSmbMmgJSQHAZSJNUwBVFckCAEAAFAlJaUnaeSqkTZlI1eNLPFHPwAUO38N0+KfF+euYXo0+6gy8zLdGicA99l4aKNu+fAW1Z9VX6apJn3yyyc251fuXambPrhJ9WbWk2mqSYlpiSXaiF0UK9NUk83jzuV3XpobKAMJQgAAAFQ55/4xH1M7RlvGbLFONz73j37A1Ziu6lmK1zA99+fF1qStNj9PKtsapnzG7MP7hYrKzstW27C2eqPfG2We7xrVVS/1fOmC7dzX4T6lPp5qfczrP88V4ZYbm5QAAACgSknOSC7xx3zxmoTnblyyYfSGSvVHPqqe4umqR7OPllj7sjiJHRoUqjXD17CjdiVy/s+Lru91laRKuYYpnzH78H7BGfo27au+TfuWeX5kW8vshYOnDl6wnRq+NRReM9yZoVUIIwiroNjYWE2YMMF6HB0drTlz5jit/YMHD8pkMikxMdFpbXqqyvxexMXFqV27di5rKy4uTmFhYTKZTPrkk0/KLAMA4FIz+5kVGhRa4o/5czcuCQ0KldnP7OZIUdUxXdVzecoapnzG7MP7hbJkZmYqIyPD+sjNzXX5NZfuXKp6M+up1Vut9MTaJ5SZ697PHQlCVFhCQoJMJpNOnTpV7teMHj1aJpPJ+qhbt6769Omjn3/+2abeuXWCgoLUtGlTjR49Wtu3b7/oNaKjo62v9fb2Vv369TV27FidPHnS3luskoqTm8UPs9msVq1a6cEHH9Tvv/9uU/eJJ57QunXrrMd79+7V1KlTNW/ePKWmpqpv376llgEA4A4hASFaM3yNNozeUOKP+aiQKG0YvYHRIbgkPHG6Kiw8ZQ1TPmP24f1CWVq2bKmQkBDrY8aMGS693vA2w/XhbR8qYXSCnr3+Wa3Yu0KD/z3Ypde8GBKEzlZYKCUkSB9+aPlaWOjuiCqtPn36KDU1VampqVq3bp18fHzUv3//EvUWLlyo1NRU7d69W2+++aaysrLUuXNnvf/++xe9xvPPP6/U1FQdPnxYS5cu1caNG/XII4+44nbcJj8/v0Kv/+abb5SamqqffvpJ06dP1969e9W2bVubhGDNmjVVt25d6/Eff/whSRowYIDCw8Pl7+9fapkjKno/AABIliRhWX/gRQZHkhzEJXPuyNXi6arnT3+vTFifzfPWMK0MnzFP+tzwfqE0e/bsUXp6uvUxadIkl17vvo73qWdMT7UOba07W9+p5bcv1zf7v9F/U//r0uteCAlCZ1q5UoqOlnr0kIYNs3yNjraUu0h2drbGjRun4OBgRUREaNasWaXWO336tMaMGSOz2ayGDRtq/vz55b7GDz/8oPbt2ysgIECdOnXSjh07rOcOHjyoHj16SJJq164tk8mk0aNHl6tdf39/hYeHKzw8XO3atdNTTz2lpKQkHTt2zKZerVq1FB4erujoaPXu3VvLly/X8OHD9dBDD110NKDZbFZ4eLgaNGigHj166O6779Z//3u2w504cUJ33XWXIiMjVaNGDbVp00YffvihTRtFRUV6+eWX1aRJE/n7+6thw4aaNm1aqdcrKirSfffdp2bNmunQoUN6/PHHdcstt1jPz5kzRyaTSV9++aW17IorrtC8eZbFSH/88Uf16tVL9erVU0hIiLp3724Tr2QZVfnOO+9owIABCgoK0osvvihJeumllxQWFiaz2ayxY8fqzJkzF3xvitWtW1fh4eGKiYnRgAED9M0336hz584aO3asCv+X4D53inFcXJz1nry8vGQymUotK7Zw4UK1aNFCAQEBat68ud566y3rueJRjP/+978VGxurgIAAffDBB+V+3cqVK9WjRw/VqFFDbdu21X/+8x+be9uyZYu6d++uGjVqqHbt2rrpppusnxnDMDRz5kzFxMQoMDBQbdu21fLly8v1ngEAANjDU6arFq/P1n1R9xJJsKT0JHVf1F19lvap0smL0tYw7RLVpcSos7KSO+7izs+YJ35ueL9wPrPZrODgYOvD0QEvjuoQ0UG+Xr76/cTvF6/sIiQInWXlSmnIECn5vF8UKSmWchclCSdOnKhNmzZpxYoVWrt2rRISEkqdfjtr1ixrcu+BBx7Q/fffr19++eWi7WdnZ6t///664oortH37dsXFxemJJ56wno+KitKKFSskSb/++qtSU1M1d+5cu+8jKytLS5cuVZMmTWxGqpXl0UcfVWZmpuLj48t9jZSUFH3xxRfq3LmztezMmTPq2LGjvvjiC+3atUt/+9vfNHLkSH3//ffWOpMmTdLLL7+sZ599Vnv27NGyZcsUFhZWov28vDwNHTpU27Zt0+bNm9WoUSPFxsZq06ZNKioqkiRt2LBB9erV04YNGyRJaWlp+u2339S9e3dJlnUPRo0apU2bNum7775T06ZN1a9fP2Vm2q5FMGXKFA0YMEA7d+7UmDFj9O9//1tTpkzRtGnTtG3bNkVERNgk1Ozh5eWl8ePH69ChQ6V+lp544gktXLhQkqwjQEsrk6R3331XkydP1rRp07R3715Nnz5dzz77rBYvXmzT5lNPPaVHHnlEe/fu1U033VTu102ePFlPPPGEEhMT1axZM911110qKCiQJCUmJurGG29Uq1at9J///EebN2/WLbfcYk16PvPMM1q4cKHefvtt7d69W48++qhGjBhh/d4AAAA4i6dMV2V9Ns9dw9SdnzFP/NzwfqGy2X1st/KL8hVhjnBfEEY1kpSUZEgykpKSSpzLyckx9uzZY+Tk5NjfcEGBYURGGoZU+sNkMoyoKEs9J8rMzDT8/PyMf/3rX0ZhYaFhGIZx4sQJIzAw0Bg/fry1XqNGjYwRI0ZYj4uKiozQ0FDj7bffvug15s2bZ9SpU8fIzs62lr399tuGJGPHjh2GYRjG+vXrDUnGyZMnyx37qFGjDG9vbyMoKMgICgoyJBkRERHG9u3bbepJMlatWlXi9Tk5OYYk4+WXXy7zGo0aNTL8/PyMoKAgIyAgwJBkdO7c+aJx9uvXz3j88ccNwzCMjIwMw9/f33j33XdLrXvgwAFDkrFp0yajZ8+eRteuXY1Tp05Zz586dcrw8vIytm3bZhQVFRl169Y1ZsyYYVx11VWGYRjGsmXLjLCwsDJjKSgoMMxms/H5559byyQZEyZMsKl37bXXGuPGjbMp69y5s9G2bdsy2y6Ovfj7eK69e/cakoyPP/7YMAzDmDJlik1bq1atMs7/8VFaWVRUlLFs2TKbshdeeMG49tprbWKYM2eOQ69bsGCB9fzu3bsNScbevXsNwzCMu+66y+jatWup956VlWUEBAQYW7dutSkfO3ascdddd5WoX1hYaPz555/G7t27HfsZAeCC8vLyjE8++cTIy8tzdyhAlUU/c5/Dpw4bMXNjDMXJiJkbY2w5vMXm+PCpw+4O0YanxesKp3JOGUnpJf9mNAzDSEpPMk7lnCr1nLv6WWX4nlWGGMqrMsRaGWLwVM7uZxfKE5UlMzfT2JG6w9iRusNQnIzZW2cbO1J3GIdOHTIMwzBOnD5h7EjdYXz525eG4mR8tPMjY0fqDiM1M9UwDMPYd2KfMTVhqvFjyo/GgZMHjC9/+9Jo/kZzo/077Y2CQufmjezBCEJn2LSp5MjBcxmGlJRkqedEf/zxh/Ly8nTVVVdZy+rUqaMrrriiRN0rr7zS+txkMik8PFxHjx696DWK16OrUaOGtezaa6+tYOQWPXr0UGJiohITE/X999+rd+/e6tu3rw4dOnTR1xqGIUk2U1lL8+STTyoxMVE///yzdU29m2++2TqKrLCwUNOmTdOVV16punXrqmbNmlq7dq0OHz4syXL/ubm5uvHGGy94nbvuuktZWVlau3atQkLOrmkUEhKidu3aKSEhQTt37pSXl5f+/ve/66efflJmZqYSEhKsowcl6ejRoxo3bpyaNWtmXRw1KyvLGk+xTp062Rzv3bu3xPelIt+n8r6/F3Ls2DElJSVp7NixqlmzpvXx4osvWtcrLHbu/djzunM/1xERlv9pKf5cF48gLM2ePXt05swZ9erVy+Ya77//folrAAAAOMoTp6tWhvXZ3M2T1jCtLJ8xT/nc8H7BGbYd2ab289qr/bz2kqTH1j6m9vPa67n1z0mSPvv1M7Wf1143L7tZknTnijvVfl57vbPtHUmSn7ef1h1Yp5s+uElXvHGFHln9iHrH9NY3d38jby9v99yUJB+3XdlOM2ZYZun+8osUGCh16SK9/LJUSi7s0vvfdEqn1Sun4iROefj6+tocm0wm67RXZ13DXkFBQWrSpIn1uGPHjgoJCdG7775rXVevLHv37pUkNW7c+IL16tWrZ71G06ZNNWfOHF177bVav369evbsqVmzZunVV1/VnDlz1KZNGwUFBWnChAnKy8uTJAUGBpbrXvr166cPPvhA3333nW644Qabc7GxsUpISJCfn5+6d++u2rVrq1WrVtqyZYsSEhI0YcIEa93Ro0fr2LFjmjNnjho1aiR/f39de+211niKBQUFlSsuR5X3/b2Q4s/Xu+++azOtW5K8vW1/6J17P/a87tzPdXEys/j1F/reFdf58ssv1aBBA5tzl3qtCQAAUHUVT1eVVOp01djFsZVyumrx+mxd3+tqLauMayaicn3GPOFzw/sFZ4iNjpUxpexcyeh2ozW63egyz0eFRGnD6Mq3tJXHjCDcsEF68EHpu++k+HipoEDq3VvKznZ3ZJIiyjlHvLz1yqlJkyby9fXVtm3brGUnT57Ub7/95rRrtGzZUj/99JNycnKsZd99951NHT8/P0myjspzlMlkkpeXl821yjJnzhwFBwerZ8+edl2jOMFUfI1NmzZpwIABGjFihNq2bauYmBj9/vvZRUGbNm2qwMBAmx19S3P//ffrpZde0q233lpiDbvidQi//fZbxcbGSpK6d++ujz76yGb9weJ4HnnkEfXr10+tWrWSv7+/jh8/ftH7atGiRYnvy/nH5VVUVKTXXntNjRs3Vvv27R1qQ5LCwsLUoEED7d+/X02aNLF5XCjx6OjrznfllVeW+X1r2bKl/P39dfjw4RLXiIriFzIAAHCOkIAQrRm+RhtGbyjxR3/xH4hrhq+pVCPSJM9ZMxGV6zPmCZ8b3i+gbB4zgnDNGtvjhQul0FBp+3bp+uvdE5NVt25SZKRlQ5LSRtyZTJbz3bo59bI1a9bUmDFj9NxzzykyMlIRERGaPHmyvLycl/cdNmyYJk+erLFjx+qZZ57RwYMH9corr9jUadSokUwmk7744gv169dPgYGBqlmz5kXbzs3NVVpamiRLYvONN95QVlaWza6/knTq1CmlpaUpNzdXv/32m+bNm6dPPvlE77//vmrVqnXBa2RmZiotLU2GYSgpKUkTJ05UvXr11KVLF0mWJOuKFSu0detW1a5dW7Nnz1ZaWppatGghSQoICNBTTz2liRMnys/PT127dtWxY8e0e/dujR071uZaDz/8sAoLC9W/f3+tXr1a1113nSTp+uuvV2Zmpj7//HPryMjY2Fjddtttuuyyy9SyZUtrG02aNNGSJUvUqVMnZWRk6MknnyzXKMbx48dr1KhR6tSpk6677jotXbpUu3fvVkxMzEVfe+LECaWlpen06dPatWuX5syZox9++EFffvlliRF79oqLi9Mjjzyi4OBg9e3bV7m5udq2bZtOnjypxx57zOmvO9ekSZPUpk0bPfDAAxo3bpz8/Py0fv163X777apXr56eeOIJPfrooyoqKtJ1112njIwMbd26VTVr1tSoUaMqdN8AAADFQgJCykw2lDWN1Z3O3SghpnaMlgxaopGrRlqnXjL9sfKpDJ8xT/rc8H4BpfOYBOH50v+343edOmXXyc3NVW5urvW4eCfYgoIC5efn29TNz8+XYRgqKioq19RbGyaT9OqrMg0dKplMMp2TJDT+N+3RmD3bUs/eti/i5Zdf1smTJzVw4ECZzWY99thjSk9Pt96LNY7zjssqO1+NGjX06aef6oEHHlD79u3VsmVLzZgxQ7fffrv1vYqIiFBcXJyefvpp3XPPPRo5cqR1R9uyGIahNWvWWNeNM5vNat68uT7++GNdf/31NnHdc889kizJugYNGqhr16767rvv1KFDh4vG/9xzz+m55yzrAFx22WXq1KmTvv76a9WuXVtFRUWaPHmy9u/fr5tuukk1atTQfffdpwEDBig9Pd3a9uTJk+Xt7a3nnntOR44cUUREhP7+97/bfFaKnz/yyCMqLCxUv3799NVXX6lLly4ym81q3769Dh8+rObNm6uoqEhdu3ZVUVFRiXtdsGCBxo0bp/bt26thw4Z68cUXNXHixBLfq/M/p7fffrv27dunp556SmfOnNHgwYM1btw4rV27tsz3qLi8eBRmjRo1rDsvv/POO2rSpIm1TvFU83Pv99yvZZWNGTNGAQEBmjVrliZOnKigoCC1adNGjzzySKnvX0Ved35ZkyZNtGbNGj3zzDO6+uqrFRgYqKuvvlp33HGHioqKNHXqVF122WWaMWOG9u/fr1q1aql9+/aaNGlSqX2l+Gt+fn6FE6cAbBX/Tj7/dzMA56GfoTySM5LV84Oe2n9qv2JqxSh+eLyigqMUPzxevT7oZUleLIrVNyO+qZTJTXerrv2Mz419eL8qxtn9rKCgwCntVAUmw5WLzLmIYUgDBkgnT15434+4uDhNnTq1RPmCBQtUr149mzIfHx+Fh4crKirKOmXWXr6ff67Ap5+W15Ej1rKiBg2UM2OG8s8bFQfAs+Tl5SkpKUlpaWn8EgEAAFVSdmG2nv/jeZ0qOKUXm7yoy/wus547lndMz+x7RrV8aum5y59TkLdr18SG5+BzYx/er8rl+PHjuvfee5WUlKTIyOqdkPXIBOGDD0pffilt3myZuVuW80cQpqSkqGXLljpw4ECJjQnOnDmjpKQkRUdHKyAgwPHgCgstWcvUVMuag926SS4cbWQYhjIzM2U2myu04yyAshmGoRMnTujYsWNq2LBhxX5GACghPz9f8fHx6tWrV4lNtQA4B/0M5ZV+Jl2ZeZmljlxKzkiW2c9c6dZMrCyqcz/jc2Mf3i/HObufpaSkqHHjxiQI5YFTjB9+WPrsM2njxgsnByXLbqTn7kiakZEhyTJa8PwPUmFhoXWTjAqt4eflJZ23i60rFU+FLI7dXtOnT9f06dNLPdetWzetXr3a7jYPHz5ss67e+fbs2aOGDRva3S7gLuf2M19f32r3Dz7gUqF/Aa5HP8PF1POtp3qqV+q5xnXLv2FcdVYd+xmfG/vwflWcs/qZj4/HpcVcxmPeCcOwJAdXrZISEiQ7NjPFBYwbN05Dhw4t9Vx5NscoTf369ZWYmHjB8wAAwHUYmQAAAAB7eEyC8MEHpWXLpE8/lcxm6X+b3yokRHIwjwVJderUUZ0L7fTiAB8fHzVp0sSpbQIAgPJJP5OuPkv76Gj20RK7IBbvmhgaFKo1w9eQJAQAAIAkqQJzaS+tt9+27FwcG2tZ2q/48fHH7o4MAACg8sjMy9TR7KOWXRAXxyopPUnS2eTg/pP7dTT7qDLzMt0aJwAAACoPj0kQGkbpj9Gj3R0ZAABA5REZHKmEUQmKqR1jTRJuTdpqTQ7G1I5RwqiEUqcfAwAAoHrymAQhAAAAyicqJMomSdj1va42ycFzpx0DAAAAJAgBAACqoKiQKC0ZtMSmbMmgJSQHAQAAUAIJQgAAgCooKT1JI1eNtCkbuWqkdU1CAAAAoBgJQg93ww03aNKkSQ6/3mQy6ZNPPnFeQAAAwO3O3ZAkpnaMtozZYrMmIUlCAAAAnIsEYTWXmpqqvn37uqz9uLg4mUwm9enTp8S5mTNnymQyKTY21mXXry6io6M1Z84cd4cBAKgEkjOSS2xI0iWqS4mNS5Izkt0dKgAAACoJEoROkn4mvcx/aCdnJCv9TPoljqh8wsPD5e/v79JrREREaP369UpOtn1/Fi5cqIYNG7r02s6Ql5fn7hAAACg3s59ZoUGhJTYkOXfjktCgUJn9zG6OFAAAAJUFCUInSD+Trj5L+6j7ou4lpuwkpSep+6Lu6rO0j8uShEVFRXrqqadUp04dhYeHKy4urtyvPX+KcXJysu68807VqVNHQUFB6tSpk77//nvr+c8//1wdO3ZUQECAYmJiNHXqVBUUFFzwGqGhoerdu7cWL15sLdu6dauOHz+um2++uUT9hQsXqkWLFgoICFDz5s311ltv2Zx/6qmn1KxZM9WoUUMxMTF69tlnlZ+fbz3/008/qUePHjKbzQoODlbHjh21bds2SZYRje3atbNpb86cOYqOjrYejx49WgMHDtSMGTNUv359NWvWTJKUkpKiO+64Q7Vr11bdunU1YMAAHTx4sMTrpk+frrCwMNWqVcv6/jz55JOqU6eOIiMj9d5779lcv7ztvvLKK4qIiFDdunX14IMPWu85NjZWhw4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"text/plain": [ "<Figure size 1500x400 with 2 Axes>" ] @@ -329,21 +329,21 @@ "# dh_dt_BE = YOUR_CODE_HERE\n", "\n", "# SOLUTION:\n", - "dh_dt_BE = (h_ice[1:]-h_ice[:-1])/(t_days[1:]-t_days[:-1]) \n", + "dh_dt_BD = (h_ice[1:]-h_ice[:-1])/(t_days[1:]-t_days[:-1]) \n", "\n", "fig, ax1 = plt.subplots(figsize=(15,4))\n", "\n", "\n", - "# ax1.scatter(YOUR_CODE_HERE, dh_dt_FE,\n", - "# color='blue', marker='o', label='dh_dt_FE Forward Euler')\n", - "# ax1.scatter(YOUR_CODE_HERE, dh_dt_BE,\n", - " # color='red', marker='o', label='dh_dt_BE Backward Euler')\n", + "# ax1.scatter(YOUR_CODE_HERE, dh_dt_FD,\n", + "# color='blue', marker='o', label='dh_dt_FE Forward Difference')\n", + "# ax1.scatter(YOUR_CODE_HERE, dh_dt_BD,\n", + " # color='red', marker='o', label='dh_dt_BE Backward Difference')\n", "\n", "# SOLUTION:\n", - "ax1.scatter(t_days[:-1], dh_dt_FE,\n", - " color='blue', marker='o', label='dh_dt_FE Forward Euler')\n", - "ax1.scatter(t_days[1:], dh_dt_BE,\n", - " color='red', marker='o', label='dh_dt_BE Backward Euler')\n", + "ax1.scatter(t_days[:-1], dh_dt_FD,\n", + " color='blue', marker='o', label='dh_dt_FD Forward Difference')\n", + "ax1.scatter(t_days[1:], dh_dt_BD,\n", + " color='red', marker='o', label='dh_dt_BD Backward Difference')\n", "\n", "ax1.set_xlabel('Days')\n", "ax1.set_ylabel('Growth Rate [cm/day]', color='blue')\n", @@ -382,13 +382,13 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 7, "id": "8c2a379e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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"text/plain": [ "<Figure size 1500x400 with 2 Axes>" ] @@ -413,10 +413,10 @@ "# color='purple', marker='o', label='dh_dt_CD Central Difference')\n", "\n", "# SOLUTION:\n", - "ax1.scatter(t_days[:-1], dh_dt_FE,\n", - " color='blue', marker='o', label='dh_dt_FE Forward Euler')\n", - "ax1.scatter(t_days[1:], dh_dt_BE,\n", - " color='red', marker='o', label='dh_dt_BE Backward Euler')\n", + "ax1.scatter(t_days[:-1], dh_dt_FD,\n", + " color='blue', marker='o', label='dh_dt_FE Forward Difference')\n", + "ax1.scatter(t_days[1:], dh_dt_BD,\n", + " color='red', marker='o', label='dh_dt_BE Backward Difference')\n", "ax1.scatter((t_days[1:]+t_days[:-1])/2, dh_dt_CD,\n", " color='purple', marker='o', label='dh_dt_CD Central Difference')\n", "ax1.set_xlabel('Days')\n", @@ -566,7 +566,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 8, "id": "72be2ce6-601c-4976-94bf-cfad7af4607d", "metadata": { "tags": [] @@ -625,7 +625,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 9, "id": "f8d676eb-6c79-457c-9c13-4c5edba4f2a1", "metadata": { "tags": [] @@ -675,7 +675,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 10, "id": "1b677ea6", "metadata": { "tags": [] @@ -722,7 +722,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 11, "id": "5b571bb0", "metadata": { "tags": [] @@ -808,7 +808,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 12, "id": "68f0967f-0dd2-4971-88e8-e87d52cdf332", "metadata": {}, "outputs": [ @@ -971,7 +971,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 13, "id": "c2cbc69b-a77e-4448-a2ca-245cc3fd75ba", "metadata": {}, "outputs": [], @@ -1030,7 +1030,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 14, "id": "492ba05d", "metadata": {}, "outputs": [ @@ -1097,7 +1097,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 15, "id": "9cb06eac", "metadata": {}, "outputs": [