"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lecture on Numerical Simulation Methods (1)\n",
"\n",
"Goal: Learning\n",
" - how to use jupyter(ipython notebook)\n",
" - type of cells: \"Markdown\" and \"code\"\n",
" - elements of \"Markdown\"\n",
" \n",
" - methods to solve ordinary differential equations (ode) and functions in scipy (scientific python) for ode\n",
" \n",
"An tutorial page about jupyter: http://qiita.com/taka4sato/items/2c3397ff34c440044978\n",
"\n",
"It is recommended to create a new notebook, copy&paste sample codes in the following and try to use them.\n",
"(新しいノートブックを作成し、下のサンプルコードをコピーして実行、改変を試してみることを推奨する)\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Tips on python coding\n",
"\n",
"\n",
" - Grouping statements is described by indentation (\"space\" or \"tab\")\n",
" - Flow control statements \"for\", \"while\" and \"if\" are somewhat different from those of C, Java and fortran.\n",
" See e.g. http://docs.python.jp/2/tutorial/\n",
" - To define a function, use \"def\" statement.\n",
" - If you would like to plot on a new window, execute \"%matplotlib auto\".\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Euler Method for ordinary differential equations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The simplest numerical method for solving a differential equation is called the Euler Method, which is a discretization of the differentiation.\n",
"For the definition of the differentiation\n",
"\\begin{equation}\n",
" \\frac{dx}{dt} = \\lim_{h \\rightarrow 0} \\frac{x(t + h ) - x(t)}{h } ,\n",
"\\end{equation}\n",
"we take a finite $h$.\n",
"For a differential equation\n",
"$$\n",
" \\frac{dx}{dt} = f(x),\n",
"$$\n",
"we calculate numerically $x(t+h)$ from $x(t)$ by\n",
"\\begin{equation}\n",
" x(t + h ) = x(t) + h f(x(t))\n",
"\\end{equation}\n",
"\n",
"### Euler Method for a harmonic oscillator\n",
"\n",
"Let's try to calculate a harmonic oscillator equation\n",
"$$\n",
"\\begin{eqnarray}\n",
" \\frac{dx}{dt} & = & v \\\\\n",
" \\frac{dv}{dt} & = & - kx\n",
"\\end{eqnarray}\n",
"$$\n",
"by using the Euler method.\n",
"\n",
"note:\n",
"\n",
"To solve heigher-order differential equations, we rewrite them as a first-order equations by defining some new variables.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"code_folding": []
},
"outputs": [
{
"data": {
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\n",
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