eom 0.11.0

Configurable ODE/PDE solver
Documentation
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[0m\u001b[0m\u001b[1m\u001b[32m    Finished\u001b[0m release [optimized] target(s) in 0.13s\r\n",
      "\u001b[0m\u001b[0m\u001b[1m\u001b[32m     Running\u001b[0m `target/release/examples/swe`\r\n"
     ]
    }
   ],
   "source": [
    "! cargo run --release --example swe > she.csv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"she.csv\").set_index(\"time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = len(df.columns)\n",
    "l = 100.0  # from example/swe.rs\n",
    "x = np.arange(0, l, l/n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, T = np.meshgrid(df.index, x)\n",
    "\n",
    "plt.figure(figsize=(10, 10))\n",
    "plt.pcolormesh(T, X, df.T)\n",
    "plt.colorbar()\n",
    "plt.xlabel(\"space\", fontsize=20)\n",
    "plt.ylabel(\"time\", fontsize=20)\n",
    "plt.savefig(\"she.png\", bbox_inches=\"tight\", transparent=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}