{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(ODE-IVP-1-basics-and-Euler-python)=\n",
    "# Basic Concepts and Euler's Method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Sections 6.1.1 *Euler's Method* in {cite}`Sauer`.\n",
    "- Section 5.2 *Euler's Method* in {cite}`Burden-Faires`.\n",
    "- Sections 7.1 and 7.2 in {cite}`Chenney-Kincaid`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "#from matplotlib import pyplot as plt\n",
    "# Shortcuts for some favorite commands:\n",
    "from numpy import linspace\n",
    "from matplotlib.pyplot import figure, plot, grid, title, xlabel, ylabel, legend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Basic ODE Initial Value Problem\n",
    "\n",
    "We consider the problem of solving (approximately) the ordinary differential equation\n",
    "\n",
    "$$\\frac{du}{dt} = f(t, u(t)), a \\leq t \\leq b$$\n",
    "\n",
    "with the *initial condition*\n",
    "\n",
    "$$u(a) = u_0$$\n",
    "\n",
    "I will follow the common custom of referring to the independent variable as \"time\".\n",
    "\n",
    "For now, $u(t)$ is real-valued, but little will change when we later let it be vector-valued (and/or complex-valued)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name=\"IVP_notation\"></a>\n",
    "### Notation for the solution of an initial value problem\n",
    "\n",
    "Sometimes, we need to be more careful and explicit in describing the function that solves the above initial value problem;\n",
    "then the input *parameters* $a$ and $u_0 = u(a)$ will be included of the function's formula:\n",
    "\n",
    "$$u(t) = u(t; a, u_0)$$\n",
    "\n",
    "(It is standard mathematical convention to separate *parameters* like $a$ and $u_0$ from *variables* like $t$ by putting the former after a semicolon."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Examples\n",
    "\n",
    "A lot of useful intuition comes from these four fairly simple examples."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "````{prf:example} Integration\n",
    ":label: example-integration\n",
    "\n",
    "If the derivative depends only on the independent variable $t$, so that\n",
    "\n",
    "$$\\frac{du}{dt} = f(t), a \\leq t \\leq b$$\n",
    "the solution is given by integration:\n",
    "\n",
    "$$u(t) = u_0 + \\int_a^t f(s)\\, ds.$$\n",
    "\n",
    "In particular, with $u_0 = 0$ the value at $b$ is\n",
    "\n",
    "$$u(t) = \\int_a^b f(t)\\, dt,$$\n",
    "and this gives us a back-door way to use numerical methods for solving ODEs to evaluate definite integrals.\n",
    "````"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "````{prf:example} Integration\n",
    ":label: example-simplest-real-ode\n",
    "\n",
    "The simplest case with $u$ present in $f$ is $f(t, u) = f(u) = u$.\n",
    "But it does not hurt to add a constant, so:\n",
    "\n",
    "$$\\frac{du}{dt} = k u,\\; k \\text{ a constant.}$$\n",
    "\n",
    "The solution is\n",
    "\n",
    "$$u(t) = u_0 e^{k(t-a)}$$\n",
    "\n",
    "We will see that this simple example contains the essence of ideas relevant far more generally.\n",
    "````"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "````{prf:example} A nonlinear equation, wiht solutions existing only for a finite time\n",
    ":label: example-nonlinear-ode\n",
    "\n",
    "In the previous examples, $f(t, u)$ is linear in $u$ (consider $t$ as fixed);\n",
    "nonlinearities can lead to more difficult behavior.\n",
    "The equation\n",
    "\n",
    "$$\\frac{du}{dt} = u^2, \\, u(a) = u_0$$\n",
    "can be solved by separation of variables — or for now you can just verify the solution\n",
    "\n",
    "$$u(t) = \\frac{1}{T - t}, \\, T = a + 1/u_0.$$\n",
    "\n",
    "Note that if $u_0 > 0$, the only exists for $t < T$.\n",
    "(The solution is also valid for $T > 0$, but that part has no connection to the initial data at $t=a$.)\n",
    "````"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example warns us that the IVP might not be **well-posed** when we set the interval $[a, b]$ in advance:\n",
    "all we can guarantee in general is that a solution exists up to some time $b$, $b > a$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "````{prf:example} A \"stiff\" equation with disparate time scales\n",
    ":label: example-stiff-ode\n",
    "\n",
    "One common problem in practical situations is differential equations where some phenomena happen on a very fast time scale, but only ever at very small amplitudes, so they have very little relevance to the overall solution.\n",
    "One example is decriptions of some chemical reactions, where some reaction products (like free radicals) are producd in tiny quantities and break down very rapidly, so they change on a very fast time scale but are scarcely relevant to the overall solution.\n",
    "\n",
    "This disparity of time-sales is called *stiffness*, from the analogy of a mechanical system in which some components are very stiff and so vibrate at very high frequencies, but typically only at very small amplitudes, or very quicky damped away, so that they can often be safely described by assuming that those stiff parts are completely rigid — do not move at all.\n",
    "\n",
    "One equation that illustrates this feature is\n",
    "\n",
    "$$\\frac{du}{dt} = -\\sin t -k(u - \\cos t) $$\n",
    "where $k$ is large and positive.\n",
    "Its family of solutions is\n",
    "\n",
    "$$u(t) = \\cos t + c e^{-k(t-a)}$$\n",
    "with $c = u_0 - \\cos(a)$ for the initial value problem $u(a) = u_0$.\n",
    "\n",
    "These all get close to $\\cos t$ quickly and then stay nearby, but with a rapid and rapidly decaying \"transient\" $c e^{-k t}$.\n",
    "\n",
    "Many of the most basic and widely use numerical methods (including Euler's Method thet we meet soon) need to use very small time steps to handle that fast transient, even when it is very small because $u_0 \\approx 1$.\n",
    "\n",
    "On the other hand there are methods that \"supress\" these transients, allowing use of larger time steps while still getting an accurate description of the main, slower, phenomena.\n",
    "The simplest of these is the *Backward Euler Method* that we will see in a later section.\n",
    "````"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(euler_method)=\n",
    "## The Tangent Line Method, a.k.a. Euler's Method\n",
    "\n",
    "Once we know $u(t)$ (or a good approximation) at some time $t$, we also know the value of $u'(t) = f(t, u(t))$ there; in particular, we know that $u(a) = u_0$ and so $u'(a) = f(a, u_0)$.\n",
    "\n",
    "This allows us to approximate $u$ for slightly larger values of the argument (which I will call \"time\") using its tangent line:\n",
    "\n",
    "$$ u(a+h) \\approx u(a) + u'(a) h = u_0 + f(a, u_0) h  \\text{ for \"small\" $h$} $$\n",
    "\n",
    "and more generally\n",
    "\n",
    "$$ u(t+h) \\approx u(t) + f(t, u(t)) h \\text{ for \"small\" $h$} $$\n",
    "\n",
    "This leads to the simplest approximation: choose a step size $h$ determining equally spaced times $t_i = a + i h$ and define — recursively — a sequence of approximations $U_i \\approx u(t_i)$ with\n",
    "\n",
    "$$\\begin{split}\n",
    "U_0 &= u_0\n",
    "\\\\\n",
    "U_{i+1} &= U_i + h f(t_i, U_i))\n",
    "\\end{split}$$\n",
    "\n",
    "If we choose a number of time steps $n$ and set $h = (b-a)/n$ for $0 \\leq i \\leq n$,\n",
    "the second equation is needed for $0 \\leq i < n$, ending with $U_n \\approx u(t_n) = u(b)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This \"two-liner\" does not need a pseudo-code description; instead, we can go directly to a rudimentary Python function for Euler's Method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def eulerMethod(f, a, b, u_0, n):\n",
    "    \"\"\"Solve du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0\"\"\"\n",
    "    h = (b-a)/n\n",
    "    t = linspace(a, b, n+1)  # Note: \"n\" counts steps, so there are n+1 values for t.\n",
    "    u = np.empty_like(t)\n",
    "    u[0] = u_0\n",
    "    for i in range(n):\n",
    "        u[i+1] = u[i] + f(t[i], u[i])*h\n",
    "    return (t, u)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 1\n",
    "\n",
    "Show that for the integration case $f(t, u) = f(t)$, Euler's method is the same as the composite left-hand endpoint rule,\n",
    "as in the section [Definite Integrals, Part 2](integrals-2-composite-rules.ipynb)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solving for {prf:ref}`example-integration`, an integration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f1(t, u):\n",
    "    \"\"\"For integration of -sin(x)\n",
    "    The general solution is\n",
    "        u(t) = cos(x) + C,\n",
    "        C = u_0 - cos(a)\n",
    "    \"\"\"\n",
    "    return -np.sin(t)\n",
    "\n",
    "def u1(t, a, u_0):\n",
    "    return np.cos(t) + (u_0 - np.cos(a));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 0.\n",
    "b = 3/4*np.pi\n",
    "u_0 = 3.\n",
    "n = 20\n",
    "\n",
    "(t, U) = eulerMethod(f1, a, b, u_0, n)  \n",
    "u = u1(t, a, u_0)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is y = cos(x) + {u_0 - np.cos(a)}\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=f\"Euler's answer for h={(b-a)/n:0.4g}\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solving for {prf:ref}`example-simplest-real-ode`, some exponential functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f2(t, u):\n",
    "    \"\"\"For solving du/dt = k u.\n",
    "    The variable k may be defined later, so long as that is done before this function is used.\n",
    "    \"\"\"\n",
    "    return k*u\n",
    "\n",
    "def u2(t, a, u_0, k):\n",
    "    return u_0 * np.exp(k*(t-a));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# You could experiment by changing these values here;\n",
    "# for now I instead redefine them below.\n",
    "k = 1.\n",
    "u_0 = 0.8\n",
    "a = 0.\n",
    "b = 2.\n",
    "n = 40\n",
    "\n",
    "(t, U) = eulerMethod(f2, a, b, u_0, n)\n",
    "u = u2(t, a, u_0, k)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is $u = {u_0} \\, \\exp({k} \\, t)$\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=f\"Euler's answer for h={(b-a)/n:0.4g}\")\n",
    "\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# You could experiment by changing these values here.\n",
    "k = -0.5\n",
    "u_0 = 3.\n",
    "a = 0.\n",
    "b = 2.\n",
    "\n",
    "(t10, U10) = eulerMethod(f2, a, b, u_0, 10)\n",
    "(t20, U20) = eulerMethod(f2, a, b, u_0, 20)\n",
    "t = t20\n",
    "u = u2(t, a, u_0, k)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is $y = {u_0} \\, \\exp({k} \\, t)$\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t10, U10, \".:r\", label=f\"Euler's answer for h={(b-a)/10:0.4g}\")\n",
    "plot(t20, U20, \".:b\", label=f\"Euler's answer for h={(b-a)/20:0.4g}\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solving for {prf:ref}`example-nonlinear-ode`: solutions that blow up"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f3(t, u):\n",
    "    \"\"\"For solving du/dt = u^2\n",
    "    # The general solution is u(t) = 1/((a + 1/u_0) - t), = 1/(T-t) with T = a + 1/u_0\n",
    "    \"\"\"\n",
    "    return u**2\n",
    "\n",
    "def u3(t, a, u_0):\n",
    "    T = a + 1./u_0\n",
    "    return 1./(T - t);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 0.\n",
    "b = 0.9\n",
    "u_0 = 1.\n",
    "\n",
    "(t100, U100) = eulerMethod(f3, a, b, u_0, 100)\n",
    "(t200, U200) = eulerMethod(f3, a, b, u_0, 200)\n",
    "t = t200\n",
    "u = u3(t, a, u_0)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is $u = 1/({a + 1/u_0} - t)$\")\n",
    "plot(t, u, \"g\", label=f\"Exact solution\")\n",
    "plot(t100, U100, \".:r\", label=f\"Euler's answer for h={(b-a)/100:0.2g}\")\n",
    "plot(t200, U200, \".:b\", label=f\"Euler's answer for h={(b-a)/200:0.2g}\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is clearly a problem when $t$ reaches 1; let us explore that:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 0.\n",
    "b = 0.999\n",
    "u_0 = 1.\n",
    "n = 200\n",
    "\n",
    "(t, U) = eulerMethod(f3, a, b, u_0, n)\n",
    "T = a + 1/u_0\n",
    "tplot = linspace(a, b, 1000)  # More t values are needed to get a good graph near the vertical asymptote\n",
    "u = u3(tplot, a, u_0)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is $u = 1/({T} - t)$\")\n",
    "plot(tplot, u, \"g\", label=f\"Exact solution\")\n",
    "plot(t, U, \":b\", label=f\"Euler's answer for h={(b-a)/n:0.4g}\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clearly Euler's method can never produce the vertical asymptote.\n",
    "The best we can do is improve accuracy by using more, smaller time steps:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 10000\n",
    "\n",
    "(t, U) = eulerMethod(f3, a, b, u_0, n)\n",
    "T = a + 1/u_0\n",
    "tplot = linspace(a, b, 1000)  # More t values are needed to get a good graph near the vertical asymptote\n",
    "u = u3(tplot, a, u_0)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is $u = 1/({T} - t)$\")\n",
    "plot(tplot, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \":b\", label=f\"Euler's answer for h={(b-a)/n:0.4}\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solving for Solving for {prf:ref}`example-stiff-ode`, a stiff ODE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f4(t, u):\n",
    "    \"\"\"The variable k may be defined later, so long as that is done before this function is used.\n",
    "    The general solution is u(t) = u(t; a, u_0, k) = \\cos t + (u_0 - cos(a)) e^{-K (t-a)}\n",
    "    \"\"\"\n",
    "    return -np.sin(t) - k*(u - np.cos(t))\n",
    "\n",
    "def u4(t, a, u_0, k):\n",
    "    return np.cos(t) + (u_0 - np.cos(a)) * np.exp(k*(a-t))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With enough steps (small enough step size $h$), all is well:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 0.\n",
    "b = 2 * np.pi  # One period\n",
    "u_0 = 2.\n",
    "k = 40.\n",
    "n = 400\n",
    "\n",
    "(t, U) = eulerMethod(f4, a, b, u_0, n)\n",
    "u = u4(t, a, u_0, k)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is u = cos t + {u_0-1:0.4g} exp(-{k} t)\")\n",
    "plot(t, u, \"g\", label=f\"Exact solution for {k=}\")\n",
    "plot(t, U, \":b\", label=f\"Euler's answer for h={(b-a)/n:0.4g}\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, with large steps (still small enough to handle the $\\cos t$ part), there is a catastrophic failure, with growing oscillations that, as we will see, are a characteristic feature of *instability*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 124\n",
    "\n",
    "(t, U) = eulerMethod(f4, a, b, u_0, n)\n",
    "u = u4(t, a, u_0, k)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is u = cos t + {u_0-1:0.3} exp(-{k} t)\")\n",
    "plot(t, u, \"g\", label=f\"Exact solution for {k=}\")\n",
    "plot(t, U, '.:b', label=f\"Euler's answer for h={(b-a)/n:0.3}\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To show that the $k$ part is the problem, reduce $k$ while leaving the rest unchanged:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k = 10.\n",
    "\n",
    "(t, U) = eulerMethod(f4, a, b, u_0, n)\n",
    "u = u4(t, a, u_0, k)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(f\"The exact solution is u = cos t + {u_0-1:0.3} exp(-{k} t)\")\n",
    "plot(t, u, \"g\", label=f\"Exact solution for {k=}\")\n",
    "plot(t, U, '.:b', label=f\"Euler's answer for h={(b-a)/n:0.3}\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Variable Time Step Sizes $h_i$ (just a preview for now)\n",
    "\n",
    "It is sometime useful to adjust the time step size; for example reducing it when the derivative is larger,\n",
    "(as happens in Example 3 above).\n",
    "This gives a slight variant, now expressed in pseudo-code:\n",
    "\n",
    "Input: $f$, $a$, $b$, $n$\n",
    "<br>\n",
    "$t_0 = a$\n",
    "<br>\n",
    "$U_0 = u_0$\n",
    "<br>\n",
    "for i in $[0, n)$:\n",
    "<br>\n",
    "$\\quad$ Choose $h_i$ somehow\n",
    "<br>\n",
    "$\\quad t_{i+1} = t_i + h_i$\n",
    "<br>\n",
    "$\\quad U_{i+1} = U_i + h_i f(t_i, U_i)$\n",
    "<br>\n",
    "end for\n",
    "\n",
    "In a later section, we will see how to estimate errors within an algorithm,\n",
    "and then how to use such error estimates to guide the choice of step size."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Error Analysis for the Canonical Test Case, $u' = k u$.\n",
    "\n",
    "A great amount of intuition about numerical methods for solving ODE IVPs comes from that \"simplest nontrivial example\", number 2 above.\n",
    "We can solve it with constant step size $h$, and thus study its errors and accuracy.\n",
    "The recursion relation is now\n",
    "\n",
    "$$U_{i+1} = U_i + h k U_i = U_i (1 + hk),$$\n",
    "\n",
    "with solution\n",
    "\n",
    "$$U_i = u_0 (1 + hk)^i.$$\n",
    "\n",
    "For comparison, the exact solution of this ODE IVP is\n",
    "\n",
    "$$\n",
    "u(t_i) = u_0 e^{k(t_i - a)} = u_0 e^{k ih} = u_0 (e^{kh})^i\n",
    "$$\n",
    "\n",
    "So each is a geometric series: the difference is that the *growth factor* is $G = (1 + hk)$ for Euler's method,\n",
    "vs $g = e^{kh} = 1 + hk + (hk)^2/2 + \\cdots = 1 + hk + O(h^2)$ for the ODE.\n",
    "\n",
    "Ths deviation at each time step is $O(h^2)$, suggesting that by the end $t=b$, at step $n$, the error will be $O(n h^2) = O\\left(\\displaystyle\\frac{b-a}{h} h^2\\right) = O(h)$.\n",
    "\n",
    "This is in fact what happens, but to verify that, we must deal with the challenge that once an error enters at one step, it is potentially amplified at each subsequent step, so the errors introduced at each step do not simply get summed like they did with definite integrals."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Global Error and Local (Truncation) Error\n",
    "\n",
    "Ultimately, the error we need to understand is the **global error**: at step $i$,\n",
    "\n",
    "$$ E_i = u(t_i) - U_i $$\n",
    "\n",
    "We will approach this by first considering the new error added at each step, the **local truncation error** (or **discretization error**).\n",
    "\n",
    "At the first step this is the same as above:\n",
    "\n",
    "$$ e_1 = u(t_1) - U_1 = u(a+h) - U_1 $$\n",
    "\n",
    "However at later steps we compare the results $U_{i+1}$ to what the solution would be if it were exact at the start of that step: that is, if $U_i$ were exact.\n",
    "\n",
    "Using the notation $u(t; t_i, U_i)$ introduced <a href=\"#IVP_notation\">above</a> for the solution of the ODE with initial condition $u(t_i) = U_i$, the **location truncation error** at step $i$ is the discrepancy at time $t_{i+1}$ between what Euler's method and the exact solution give when both start at that point $(t_i, U_i)$:\n",
    "\n",
    "$$ e_i = u(t; t_i, U_i) - U_{i+1} $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Error propagation in $u' = k u$, $k \\geq 0$.\n",
    "\n",
    "After one step, $E_1 = u(t_1) - U_1 = e_1$.\n",
    "\n",
    "At step 2,\n",
    "\n",
    "$$ E_2 = u(t_2) - U_2 = (u(t_2) - u(t_2, t_1, U_1) + (u(t_2, t_1, U_1) - U_2)\n",
    "= (u(t_2) - u(t_2, t_1, U_1) + e_2 $$\n",
    "\n",
    "The first term is the difference at $t=t_2$ of two solutions with values at $t = t_1$ being $u(t_1)$ and $U_1$ respectively. As the ODE is linear and homogeneous, this is the solution of the same ODE with value at $t=t_1$ being $u(t_1) - U_1$, which is $e_1$:\n",
    "that solution is $e_1 e^{y(t - t_1}$, so at $t=t_2$ it is $e_1 e^{kh}$.\n",
    "Thus the global error after two steps is\n",
    "\n",
    "$$ E_2 = e_2 + (e^{kh})e_1: $$\n",
    "\n",
    "the error from the previous step has been amplified by the growth factor $g = e^{kh}$:\n",
    "\n",
    "$$ E_2 = e_2 + g e_1: $$\n",
    "\n",
    "This continues, so that\n",
    "\n",
    "$$ E_3 = e_3 + g E_1 = e_3 + g (e_2 + g e_1) = e_3 + ge_2 + g^2 e_1 $$\n",
    "\n",
    "and so on, leading to\n",
    "\n",
    "$$ E_i = e_i + g e_{i-1} + g^2 e_{i-2} + \\cdots + g^{i-1} e_{1} $$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bounding the local truncation errors ...\n",
    "\n",
    "To get a bound on the global error from the formula above, we first need a bound on the local truncation errors $e_i$.\n",
    "\n",
    "Taylor's theorem gives $e^{kh} = 1 + kh + e^{k \\xi} (kh)^2/2$, $0 < \\xi < k h$, so\n",
    "\n",
    "$$\n",
    "e_i = U_i e^{kh} - U_i (1 + kh) = U_i (e^{k \\xi} h^2/2)\n",
    "$$\n",
    "\n",
    "and thus\n",
    "\n",
    "$$|e_i| \\leq |U_i| \\frac{e^{kh}}{2} h^2$$\n",
    "\n",
    "Also, since $1 + kh < e^{kh}$,\n",
    "$|U_i| < |u(t_i)| = |u_0| e^{k(t_i - a)},$\n",
    "and we only need this to the beginning of the last step, $i \\leq n-1$, for which\n",
    "\n",
    "$$\n",
    "|U_i| < |u_0| e^{k(b - h - a)}\n",
    "$$\n",
    "\n",
    "Thus\n",
    "\n",
    "$$\n",
    "|e_i| \\leq \\frac{|u_0| e^{k(b - h - a)} e^{kh}}{2} h^2 = \\frac{|u_0 e^{k(b - a)}|}{2} h^2\n",
    "$$\n",
    "\n",
    "That is,\n",
    "\n",
    "$$ |e_i| \\leq C h^2 \\text{ where } C := \\frac{|u_0 e^{k(b - a)}|}{2} $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ... and using this to complete the bound on the global truncation error\n",
    "\n",
    "Using this bound on the local errors $e_i$ in the above sum for the global error $E_i$,\n",
    "\n",
    "$$ | E_i | \\leq C h^2 (1 + g + \\cdots g^{i-1}) = C \\frac{g^i - 1}{g-1} h^2 $$\n",
    "\n",
    "Since $g^i = e^{k h i} = e^{k (t_i - a)}$ and the denominator $g - 1 = e^{kh} - 1 > k h$,\n",
    "we get\n",
    "\n",
    "$$\n",
    "| E_i | \\leq  C \\frac{e^{k (t_i - a)} - 1}{k h} h^2\n",
    "\\leq \\frac{|u_0 e^{k(b - a)}|}{2} \\frac{e^{k (t_i - a)} - 1}{k} h, = O(h)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that this global error formula is bulilt from three factors:\n",
    "\n",
    "- The first is the constant\n",
    "$\\displaystyle \\frac{|u_0 e^{k(b - a)}|}{2}$\n",
    "which is roughly half of the maximum value of the exact solution over the interval $[a, b]$.\n",
    "\n",
    "- The second\n",
    "$\\displaystyle \\frac{e^{k (t_i - a)} - 1}{k}$\n",
    "depends on $t$, and \n",
    "\n",
    "- The third is $h$, showing the overall order of accuracy: first order: the overall absolute error is $O(h)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A more general error bound\n",
    "\n",
    "A very similar result applies to the solution $u(t; a, u_0)$ of the more general initial value problem\n",
    "\n",
    "$$\n",
    "\\frac{du}{dt} = f(t, u), \\quad u(a) = u_0\n",
    "$$\n",
    "\n",
    "so long as the function $f$ is \"somewhat well-behaved\" in that it satisfies a so-called *Lipschitz Condition*:\n",
    "that there is some constant $K$ such that\n",
    "\n",
    "$$\n",
    "\\left| \\frac{\\partial F}{\\partial u}(t, u) \\right| \\leq K \n",
    "$$\n",
    "\n",
    "for the relevant time values $a \\leq t \\leq b$.\n",
    "\n",
    "(**Aside:** As you might have seen in a course on differential equations, such a Lipschitz condition is necessary to even guarantee that the initial value problem has a unique solution, so it is a quite reasonable requirement.)\n",
    "\n",
    "Then this constant $K$ plays the part of the exponential growth factor $k$ above:\n",
    "\n",
    "first one shows that the local trunction error is bounded by\n",
    "\n",
    "$$ |e_i| \\leq C h^2 \\text{ where now } C := \\frac{|u_0 e^{K(b - a)}|}{2}; $$\n",
    "\n",
    "then calculating as above bounds the global truncation error with\n",
    "\n",
    "$$\n",
    "| E_i | \\leq \\frac{|u_0 e^{K(b - a)}|}{2} \\frac{e^{K (t_i - a)} - 1}{k} h, = O(h)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### There is much room for improvement\n",
    "\n",
    "As with definite integrals, this is not very impressive, so in the next section on\n",
    "[Runge-Kutta Methods](ODE-IVP-2-Runge-Kutta-python.ipynb)\n",
    "we will explore several widely used methods that improve to second order and then fourth order accuracy.\n",
    "Later, we will see how to get even higher orders."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But first, we can illustrate how this exponential growth of errors looks in some examples, and coapr the the better behaved errors in definite integrals.\n",
    "\n",
    "This will be done by looking at the effect of a small change in the initial value, to simulate an error that arises there."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Error propagation for {prf:ref}`example-integration`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 0.\n",
    "b = 2*np.pi\n",
    "u_0 = 1.  # Original value\n",
    "n = 100\n",
    "\n",
    "(t, U) = eulerMethod(f1, a, b, u_0, n)\n",
    "u = u1(t, a, u_0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But now \"perturb\" the initial value in all cases by this much:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "delta_u_0 = 0.1\n",
    "\n",
    "(x, U_perturbed) = eulerMethod(f1, a, b, u_0+delta_u_0, n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[12,8])\n",
    "title(\"The solution before perturbing $u(0)$ was $u = \\cos(x)$\")\n",
    "plot(t, u, \"g\", label=\"Original exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Euler's answer before perturbation\")\n",
    "plot(t, U_perturbed, \".:r\", label=\"Euler's answer after perturbation\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This just shifts all the $u$ values up by the perturbation of $u_0$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Error propagation for {prf:ref}`example-simplest-real-ode`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k = 1.\n",
    "a = 0.\n",
    "b = 2.\n",
    "u_0 = 1.  # Original value\n",
    "delta_u_0 = 0.1\n",
    "n = 100\n",
    "\n",
    "(t, U) = eulerMethod(f2, a, b, u_0, n)\n",
    "(t, U_perturbed) = eulerMethod(f2, a, b, u_0+delta_u_0, n)\n",
    "u = u2(t, a, u_0, k)\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "title(\"The solution before perturbing $u(0)$ was $u = {u_0} \\, \\exp({k} \\, t)$\")\n",
    "plot(t, u, \"g\", label=\"Original exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Euler's answer before perturbation\")\n",
    "plot(t, U_perturbed, \".:r\", label=\"Euler's answer after perturbation\")\n",
    "legend()\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Graphing the error shows its exponential growth:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[12,8])\n",
    "title(\"Error\")\n",
    "plot(t, u - U_perturbed, '.:')\n",
    "U_perturbed\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "This work is licensed under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.18"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
