{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multistep Methods — A Brief Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Section 6.7 *Multistep Methods* of [Sauer](../frontmatter/references.html#Sauer)\n",
    "- Section 5.6 *Multistep Methods* of [Burden&Faires](../frontmatter/references.html#Burden-Faires)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "When approximating derivatives we saw that there is a distinct advantage in accuracy to using the centered difference approximation\n",
    "\n",
    "$$\\frac{df}{dt}(t) \\approx \\delta_h f(t) := \\frac{f(t+h) - f(t-h)}{2h}$$\n",
    "\n",
    "(with error $O(h^2)$) over the forward difference approximation\n",
    "\n",
    "$$\\frac{df}{dt}(t) \\approx \\Delta_h f(t) := \\frac{f(t+h) - f(t)}{h}$$\n",
    "\n",
    "(which has error $O(h)$).\n",
    "\n",
    "However Euler's method used the latter, and all ODE methods seen so far avoid using values at \"previous\" times like $t-h$.\n",
    "There is a reason for this, as using data from previous times introduces some complications, but sometimes those are worth overcoming, so let us look into this."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 1: The Leap-frog method\n",
    "\n",
    "\n",
    "Inserting the above centered difference approximation of the derivative into the ODE $du/dt = f(t, u)$ gives\n",
    "\n",
    "$$\\frac{u(t+h) - u(t-h)}{h} \\approx f(t, u(t))$$\n",
    "\n",
    "which leads to the *leap-frog method*\n",
    "\n",
    "$$\\frac{U_{i+1} - U_{i-1}}{2h} = f(t_i, U_i)$$\n",
    "\n",
    "or\n",
    "\n",
    "$$U_{i+1} = U_{i-1} + 2 h f(t_i, U_i)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the first example of a multistep method:\n",
    "\n",
    "**Definition**:\n",
    "A *multistep method* for numerical solution of an ODE IVP $du/dt = f(t, u)$ is one of the form\n",
    "\n",
    "$$U_{i+1} = \\phi(U_i, \\dots U_{i-s+1}, h), \\quad s > 1 $$\n",
    "\n",
    "so that the new approximate value of $u(t)$ depends on approxiamt value at multiple previous times.\n",
    "\n",
    "More specifically, this is called an $s$-step method; this jargon is consistent with all methods seen in earlier sections being called *one-step methods*; for example,\n",
    "Euler's method can be written as\n",
    "\n",
    "$$U_{i+1} = \\phi_E(U_i, h) := U_i + h f(t_i, U_i)$$\n",
    "\n",
    "and the explicit midpoint method can be written as the one-liner\n",
    "\n",
    "$$U_{i+1} = \\phi_{EMP}(U_i, h) := U_i + h f(t_i+h/2, U_i + h f(t_i, U_i)/2) h$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The leap-frog method already illustrates two of the complications that arise with multistep methods:\n",
    "\n",
    "- The initial data $u(a) = u_0$ gives $U_0$, but then the above formula gives $U_1$ in terms of $U_0$ and the non-existent value $U_{-1}$; a different method is needed to get $U_1$.\n",
    "More generally, with an $s$-step methods, one needs to compute the first $s-1$ steps, up to $U_{s-1}$, by some other method.\n",
    "\n",
    "- Leap-frog needs a constant step size $h$; the strategy of error estimation and error control using variable step size is still possible with some multistep methods, but that is distinctly more complicated than we have seen with one-step methods, and is not addressed in these notes.\n",
    "\n",
    "Fortunately many differential equations can be handled wwell by choosing a suitable fixed step size $h$.\n",
    "Thus, in these notes, we work only with equal step sizes, so that our times are $t_i = a + i h$ and we aim for approximations\n",
    "$U_i \\approx u(a + ih)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Second order accuracy of the leap-frog method\n",
    "\n",
    "Using the fact that the centered difference approximation is second order accurate,\n",
    "one can verify that\n",
    "\n",
    "$$\\frac{u(t_{i+1}) - u(t_{i-1})}{2h} - f(t, u(t_i)) = O(h^2)$$\n",
    "\n",
    "(Alternatively one can get this by inserting quadratic Taylor polynomials centered at $t_i$, and their error terms.)\n",
    "\n",
    "The definition of local trunctation error needs to be extended slightly:\n",
    "it is the error $U_{i+1} - u(t_{i+1})$ when one starts with exact values for all previous steps;\n",
    "that is, assuming $U_j = u(t_j)$ for all $j\\leq i$.\n",
    "\n",
    "The above results then shows that the local truncation error in each step is $U_{i+1} - u(t_{i+1}) = O(h^3)$,\n",
    "so that the \"local truncation error per unit time\" is\n",
    "\n",
    "$$\\frac{U_{i+1} - u(t_{i+1})}{h} = O(h^2)$$.\n",
    "\n",
    "A theorem in the section on [Global Error Bounds for One Step Methods](ODE-IVP-3-error-results-one-step-methods.ipynb)\n",
    "says that when a one-step methods has local truncation error per unit time of $O(h^p)$ it also has global truncation error of the same order.\n",
    "The situation is a bit more complicated with multi-step methods, but loosely *if* the errors in a multistep method has local truncation $O(h^p)$ and it converges (i.e. the global error goes to zero at $h \\to 0$) then it does so at the expected rate of $O(h^p)$.\n",
    "But multi-step methode can fail to converge, even if the local truncation error is of high order!\n",
    "This is dealt with via the concept of *stability*; not considered here, but addressed in both references above and a topic for future expansion of these notes.\n",
    "\n",
    "So in particular, when the leap-frog method converges it is second order accurate, just like the centered difference approximation of $du/dt$ that it is built upon."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The speed advantage of multi-step methds like the leap-frog method\n",
    "\n",
    "This second order accuracy illustrate a major potential advantage of multi-step methods:\n",
    "whereas any one-step Runge-Kutta method that is second order accurate (such as the explicit trapezoid or explicit midpoint methods) require at least two evaluations of $f(t, u)$ for each time step, the leap-frog methods requires only one.\n",
    "\n",
    "More generally, for every $s$, there are $s$-step methods with errors $O(h^s)$ that require only one evaluation of $f(t, u)$ per time step — for example, the Adams-Bashforth methods, as seen at\n",
    "\n",
    "- https://en.wikipedia.org/wiki/Linear_multistep_method#Adams-Bashforth_methods\n",
    "\n",
    "- https://en.m.wikiversity.org/wiki/Adams-Bashforth_and_Adams-Moulton_methods\n",
    "\n",
    "- [Sauer](../frontmatter/references.html#Sauer) Section 6.7.1  and 6.7.2\n",
    "\n",
    "- [Burden&Faires](../frontmatter/references.html#Burden-Faires), Section 5.6\n",
    "\n",
    "In comparison, any *explicit* one-step method order $p$ require at least $p$ evaluations of $f(t, u)$ per time step.\n",
    "\n",
    "% (See the [Introduction to Implicit Methods](ODE-IVP-7-implicit-methods-intro.ipynb) for the distinction between explicit and implicit methods.)"
   ]
  },
  {
   "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, show"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def leap_frog(f, a, b, U_0, U_1, nSteps):\n",
    "    nUnknowns = len(U_0)\n",
    "    t = np.linspace(a, b, nSteps+1)\n",
    "    U = np.zeros([nSteps+1, nUnknowns])\n",
    "    U[0] = U_0\n",
    "    U[1] = U_1\n",
    "    h = (b-a)/nSteps\n",
    "    for step in range(1, nSteps):\n",
    "        U[step+1] = U[step-1] + 2*h*f(t[step], U[step])\n",
    "    return (t, U)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Demo with the (undamped) mass-spring system\n",
    "\n",
    "def f_mass_spring(t, u):\n",
    "    return np.array([ u[1], -(k/M)*u[0] - (D/M)*u[1]])\n",
    "M = 1.0\n",
    "k = 1.0\n",
    "D = 0.0\n",
    "U_0 = [1.0, 0.0]\n",
    "a = 0.0\n",
    "periods =32\n",
    "b = 2 * np.pi * periods\n",
    "#nSteps = 1000  # Very Good?!\n",
    "nSteps = 100*periods  # Good?\n",
    "#nSteps = 20  # OK\n",
    "\n",
    "# We need U_1, for now, get it with the Runge-Kutta method;\n",
    "# this is overkill for accuracy, but since only one step is needed, the cost is negligible.\n",
    "from numerical_methods_module import RungeKutta_system\n",
    "h = (b-a)/nSteps\n",
    "(t_1step, U_1step) = RungeKutta_system(f_mass_spring, a, a+h, U_0, n=1)\n",
    "U_1 = U_1step[-1]\n",
    "(t, U) = leap_frog(f_mass_spring, a, b, U_0, U_1, nSteps)\n",
    "\n",
    "y = U[:,0]\n",
    "#print(f\"t={t}\")\n",
    "#print(f\"y={y}\")\n",
    "figure(figsize=[14, 10])\n",
    "plot(t, y)\n",
    "grid(True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "This work is licensed under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/)"
   ]
  }
 ],
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