{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 06 Differentiation\n", "See *Computational Physics* (Landau, Páez, Bordeianu), Chapter 5.1 – 5.6.\n", "\n", "These slides include material from *Computational Physics. eTextBook Python 3rd Edition.* Copyright © 2012 Landau, Rubin, Páez. Used under the Creative-Commons Attribution-NonCommerical-ShareAlike 3.0 Unported License." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Taking numerical *derivatives* is based on the elementary definition\n", "\n", "\n", "$$\n", "\\frac{dy(t)}{dt} := \\lim_{h\\rightarrow 0} \\frac{y(t+h) - y(t)}{h}\n", "$$\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Problem $h\\rightarrow 0$: \n", "* subtractive cancelations in numerator\n", "* overflow `number / epsilon_m`" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "## Forward difference\n", "Expand $y(t)$ in Taylor series\n", "\n", "$$\n", "y(t+h) = y(t) + h y^{(1)}(t) + \\frac{h^2}{2!} y^{(2)}(t) + \\frac{h^3}{3!} y^{(3)}(t) + \\cdots\n", "$$\n", "\n", "(with the derivatives $y^{(n)} \\equiv \\frac{d^{n}y}{dt^n}$)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "$$\n", "\\frac{y(t+h) - y(t)}{h} = y^{(1)}(t) + \\frac{h}{2!} y^{(2)}(t) + \\frac{h^2}{3!} y^{(3)}(t) + \\cdots\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Forward difference algorithm\n", "\n", "Neglect $\\mathcal{O}(h^2)$ terms:\n", "\n", "$$\n", "\\frac{dy(t)}{dt} \\simeq D_\\text{fd} y(t) \\equiv \\frac{y(t+h) - y(t)}{h}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "![Forward difference approximation](./images/CompPhys_forward_difference.png)\n", "\n", "Image from Computational Physics. eTextBook Python 3rd Edition. Copyright © 2012 Landau, Rubin, Páez. Used under the Creative-Commons Attribution-NonCommerical-ShareAlike 3.0 Unported License." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "### Approximation error in the forward difference algorithm\n", "Substitute the Taylor series into $D_\\text{fd} y(t)$\n", "\n", "$$\n", "D_\\text{fd} y(t) = y^{(1)}(t) - \\frac{h}{2} y^{(2)}(t) + \\cdots\n", "$$\n", "so the error is **first order in $h$**:\n", "$$\n", "y^{(1)}(t) - D_\\text{fd} y(t) = \\frac{1}{2} h y^{(2)}(t) + \\mathcal{O}(h^2)\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "### Example for $D_\\text{fd}$\n", "\n", "Quadratic function\n", "$$\n", "y(t) = a + bt^2 \\quad \\text{and}\\quad y^{(1)}(t) = 2bt\n", "$$\n", "Forward difference approximation\n", "$$\n", "D_\\text{fd} y(t) = \\frac{y(t+h) - y(t)}{h} = 2bt + bh\n", "$$\n", "is only good for small $h \\ll \\frac{1}{b}$." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "## Central difference\n", "Improve over the (rather bad) error in the *forward difference algorithm* by using the *central difference*.\n", "\n", "![Central difference approximation](./images/CompPhys_central_difference.png)\n", "\n", "Image from Computational Physics. eTextBook Python 3rd Edition. Copyright © 2012 Landau, Rubin, Páez. Used under the Creative-Commons Attribution-NonCommerical-ShareAlike 3.0 Unported License." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### Central difference algorithm\n", "$$\n", "D_\\text{cd} y(t) \\equiv \\frac{y\\Big(t + \\frac{h}{2}\\Big) - y\\Big(t - \\frac{h}{2}\\Big)}{h}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Applied to the parabola $y(t) = a + bt^2$ yields the exact result:\n", "$$\n", "D_\\text{cd} = 2bt\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "### Approximation error in $D_\\text{cd}$\n", "Insert Taylor expansion...\n", "\n", "$$\n", "y^{(1)}(t) - D_\\text{cd} y(t) = \\frac{1}{24} h^2 y^{(3)}(t) + \\mathcal{O}(h^4)\n", "$$\n", "\n", "The error is **second order in $h$**." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This is generally *much better* than the forward difference.\n", "\n", "\"Generally\" means \"when $y(t)$ is sufficiently smooth\", i.e. \n", "\\begin{align}\n", "y^{(3)} \\frac{h^2}{24} &\\ll y^{(2)} \\frac{h}{2} \\quad\\text{or}\\\\\n", "12\\frac{y^{(2)}}{y^{(3)}} &\\gg h.\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Other difference algorithms exist with even better error behavior (see homework) but all have problems with data that are not smooth. In this case you might have to smooth the data in advance by *interpolation* or *kernel density estimates* (KDE)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Error assessment\n", "$$\n", "\\epsilon_\\text{tot} = \\epsilon_\\text{app} + \\epsilon_\\text{ro}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "**Round-off error of differentiation**: difference of two similar numbers cannot be better than machine precision, always divided by small number $h$:\n", "\n", "$$\n", "\\epsilon_\\text{ro} \\approx \\frac{\\epsilon_m}{h}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Forward difference algorithmic error**\n", "$$\n", "\\epsilon_\\text{app}^\\text{fd} = y^{(2)} \\frac{h}{2}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What is the *most accurate value of $h$* that we can choose for $D_\\text{fd}$?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Cross-over from approximation error to round-off error around\n", "\n", "$$\n", "\\epsilon_\\text{app} = \\epsilon_\\text{ro}\n", "$$\n", "\n", "For the forward difference\n", "$$\n", "y^{(2)} \\frac{h_\\text{fd}}{2} = \\frac{\\epsilon_m}{h_\\text{fd}}\\\\\n", "h_\\text{fd}^2 = \\frac{2\\epsilon_m}{y^{(2)}}\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "For rough estimate, assume $y^{(1)} \\approx y^{(2)} \\approx y^{(3)} \\approx 1$:" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "import numpy as np\n", "def h_fd(eps_m, y2=1):\n", " return np.sqrt(2*eps_m/y2)\n", "def eps_fd(eps_m, y2=1.):\n", " h = h_fd(eps_m, y2=y2)\n", " return 2*eps_m/h" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "h_fd = 4.47e-08\n", "eps_fd = 4.47e-08\n" ] } ], "source": [ "eps_m = 1e-15\n", "print(\"h_fd = {0:.2e}\".format(h_fd(eps_m, y2=1)))\n", "print(\"eps_fd = {0:.2e}\".format(eps_fd(eps_m, y2=1))) " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "For double precision ($\\epsilon_m = 10^{-15}$)\n", "$$\n", "h_\\text{fd} \\approx 4\\times 10^{-8}\\\\\n", "\\epsilon_\\text{tot}^\\text{fd} \\approx 2\\epsilon_\\text{ro} = \\frac{2\\epsilon_m}{h_\\text{fd}} = h_\\text{fd} = 4 \\times 10^{-8}\n", "$$\n", "\n", "(Note: simplified because $y^{(2)} \\approx 1$.)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Do you expect the \"best\" $h_\\text{cd}$ for the *central difference algorithm* to be larger or smaller than $h_\\text{fd}$?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\n", "h_\\text{cd}^3 = \\frac{24\\epsilon_m}{y^{(3)}}\n", "$$\n", "\n", "Generally $h_\\text{cd} > h_\\text{fd}$ because the better algorithm allows you to use a bigger step size for a smaller error." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Implementation in Python\n", "\n", "\\begin{align}\n", "D_\\text{fd} y(t) &\\equiv \\frac{y(t+h) - y(t)}{h} \\\\\n", "D_\\text{cd} y(t) &\\equiv \\frac{y\\Big(t + \\frac{h}{2}\\Big) - y\\Big(t - \\frac{h}{2}\\Big)}{h}\n", "\\end{align}\n", "\n", "and also the *extended difference algorithm*\n", "\n", "\\begin{align}\n", "D_\\text{ep} y(t) &\\equiv \\frac{4 D_\\text{cd}y(t, h/2) - D_\\text{cd}y(t, h)}{3} \\\\\n", " &= \\frac{8\\big(y(t+h/4) - y(t-h/4)\\big) - \\big(y(t+h/2) - y(t-h/2)\\big)}{3h}\n", "\\end{align}\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def D_fd(y, t, h):\n", " \"\"\"Forward difference\"\"\"\n", " return (y(t + h) - y(t))/h\n", "def D_cd(y, t, h):\n", " \"\"\"Central difference\"\"\"\n", " # implement\n", "def D_ed(y, t, h):\n", " \"\"\"Extended difference\"\"\"\n", " # implement" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Test your implementations\n", "Test function: $y(t) = \\cos t$\n", "1. What is the analytical derivative $\\frac{d\\cos(t)}{dt}$?\n", "1. Calculate the derivative of $y(t) = \\cos t$ at $t=0.1, 1, 100$.\n", "1. Print derivative and relative error $E = \\frac{D y(t) - y^{(1)}(t)}{y^{(1)}}$ (compared to the analystical value – use numpy functions for \"exact\" values) as function of $h$.\n", "1. Reduce $h$ until you reach machine precision, $h \\approx \\epsilon_m$\n", "1. Plot $\\log_{10} |E(h)|$ against $\\log_{10} h$.\n", "\n", "Try to do the above for all three algorithms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`git pull` the course resources and work with the notebook **[06_differentiation/06_differentiation-students.ipynb](http://nbviewer.jupyter.org/github/ASU-CompMethodsPhysics-PHY494/PHY494-resources/blob/master/06_differentiation/06_differentiation-students.ipynb)**." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Function definitions " ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def D_fd(y, t, h):\n", " \"\"\"Forward difference\"\"\"\n", " return (y(t + h) - y(t))/h\n", "def D_cd(y, t, h):\n", " \"\"\"Central difference\"\"\"\n", " return (y(t + h/2) - y(t - h/2))/h\n", "def D_ed(y, t, h):\n", " \"\"\"Extended difference\"\"\"\n", " return (8*(y(t + h/4) - y(t - h/4)) - (y(t + h/2) - y(t - h/2)))/(3*h)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true, "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "import numpy as np\n", "# test function: np.cos\n", "\n", "# Analytical derivative\n", "def y2(t):\n", " return -np.sin(t)\n", "\n", "t_values = np.array([0.1, 1, 100], dtype=np.float64)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use numpy functions for everything because then you can operate on all `t_values` at once." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Evaluate the finite difference derivatives\n", "Note that we pass *a function* `y` to the forward difference function `D_fd` and we can also pass a whole array of `t_values`!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "array([-0.14937587, -0.86706184, 0.46244209])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D_fd(np.cos, t_values, 0.1)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([-0.09980905, -0.84154905, 0.50359716])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D_fd(np.cos, t_values, 1e-12)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Evaluate the exact derivatives\n", "Compute the exact derivatives (again, operate on all $t$ together... start thinking in numpy arrays!)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "array([-0.09983342, -0.84147098, 0.50636564])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y2(t_values)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Calculation of the **absolute error**: subtract the two arrays that you got previously:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([-0.04954246, -0.02559086, -0.04392355])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D_fd(np.cos, t_values, 0.1) - y2(t_values)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Calculate the relative error $E$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true, "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "def error(Dxx, y, y2, t, h):\n", " \"\"\"Relative error.\n", " \n", " Note: will fail for exact 0.\n", " \"\"\"\n", " y2_val = y2(t)\n", " # return (Dxx(y, t, h) - y2_val/y2_val\n", " return Dxx(y, t, h)/y2_val - 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we pass again a general function for the difference operator so that we can use `error()` with `D_fd()`, `D_cd()` and `D_ep()`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "array([ 0.49625125, 0.03041205, -0.08674275])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "error(D_fd, np.cos, y2, t_values, 0.1)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ -2.44073917e-04, 9.27754603e-05, -5.46734793e-03])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "error(D_fd, np.cos, y2, t_values, 1e-12)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Plot $|E|$\n", "Plot $\\log_{10} |E(h)|$ against $\\log_{10} h$." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "#matplotlib.style.use('ggplot') # check out available styles with matplotlib.style.available\n", "matplotlib.style.use('seaborn-talk') " ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [], "source": [ "h_values = 10**(np.arange(-15, -1, 0.1))\n", "abs_errors = np.abs(error(D_fd, np.cos, y2, 0.1, h_values))" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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73uDHGD8RB9C6H+f7mEhJLA8uIiIiAgzTxiXW2k5gNXAB0Egw23yutXbgf5+X0DFjKoh4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\njxL55Jcx513Q+7NoFLNkRfBm/XPB18P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3vuZvxOO09fRievvHD7LqGKq+/G2G/+8/4t54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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.loglog(h_values, abs_errors, label=\"t=0.1\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "##### Forward Difference $D_\\text{fd}$\n", "Plot the three different $t$ values together in one plot:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9ie44Yz3++Y/g5JHUgcMDaHPmYjr9o6N8WlW01vN6wyQIgiAIFyLJxBS7qVfg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AnJJk6PR0PTBKqqi+2e7uTnqaggND07brXlpV1HIhkp2ss76PjxNyEYBIsV9cOfR1myKjexRAWv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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for t in t_values:\n", " abs_errors = np.abs(error(D_fd, np.cos, y2, t, h_values))\n", " plt.loglog(h_values, abs_errors, label=r\"$t={}$\".format(t))\n", "ax = plt.gca()\n", "ax.legend(loc=\"best\")\n", "ax.set_xlabel(r\"$h$\")\n", "ax.set_ylabel(r\"$|E_\\mathrm{fd}|$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* error behavior depends on $t$ and on cancellation of errors (e.g. for $t=1$\n", "* algorithmic error decreases for decreasing $h$ until the round of error starts dominating" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "##### Central Difference $D_\\text{cd}$\n", "Plot the three different $t$ values together in one plot:" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dhkVY+AeAymoYH4WhAQAO9Izz10+d4n3nD/P7F1Ym2lTKs0vGAdQn/gT1odtQ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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for t in t_values:\n", " abs_errors = np.abs(error(D_cd, np.cos, y2, t, h_values))\n", " plt.loglog(h_values, abs_errors, label=r\"$t={}$\".format(t))\n", "ax = plt.gca()\n", "ax.legend(loc=\"best\")\n", "ax.set_xlabel(r\"$h$\")\n", "ax.set_ylabel(r\"$|E_\\mathrm{cd}|$\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "##### Extended Difference $D_\\text{ed}$\n", "Plot the three different $t$ values together in one plot:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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K64vuTtj/7oDndCSC+fP7iXznLvTxw+MJfULERhy2NocxzeTjGOujLSolZXacLoMZtU5s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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for t in t_values:\n", " abs_errors = np.abs(error(D_ed, np.cos, y2, t, h_values))\n", " plt.loglog(h_values, abs_errors, label=r\"$t={}$\".format(t))\n", "ax = plt.gca()\n", "ax.legend(loc=\"best\")\n", "ax.set_xlabel(r\"$h$\")\n", "ax.set_ylabel(r\"$|E_\\mathrm{ed}|$\")" ] } ], "metadata": { "celltoolbar": "Slideshow", "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }