mirror of
https://github.com/ArthurDanjou/ArtStudies.git
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- Updated import order in Point_Fixe.ipynb for consistency. - Changed lambda functions to regular function definitions for clarity in Point_Fixe.ipynb. - Added numpy import in TP1_EDO_EulerExp.ipynb, TP2_Lokta_Volterra.ipynb, and TP3_Convergence.ipynb for better readability. - Modified for loops in TP1_EDO_EulerExp.ipynb and TP2_Lokta_Volterra.ipynb to include strict=False for compatibility with future Python versions.
417 lines
409 KiB
Plaintext
417 lines
409 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"from scipy.integrate import odeint, quad\n",
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"from scipy.optimize import newton"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Question 1"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"k = np.arange(1, 12 + 1)\n",
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"m = np.power(2, k)\n",
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"\n",
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"\n",
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"def f(x):\n",
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" return 1 / np.sqrt(x)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"a, b = 1, 2\n",
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"\n",
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"\n",
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"def compute_I(f, a, b, m):\n",
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" h_list = (b - a) / m\n",
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" I = []\n",
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" errors = []\n",
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" sol_exact = quad(f, a, b)[0]\n",
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"\n",
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" for h in h_list:\n",
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" t = np.arange(a, b, h)\n",
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" y = np.array(\n",
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" [3 / 4 * h * f(t[i] + h / 3) + h / 4 * f(t[i] + h) for i in range(len(t))]\n",
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" )\n",
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" I_approx = np.sum(y)\n",
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" I.append(I_approx)\n",
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" errors.append(np.abs(I_approx - sol_exact))\n",
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"\n",
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" return I, h_list, errors"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"I1 = [0.8281067086445473, 0.8283842224576623, 0.8284216302273131, 0.8284264316763478, 0.8284270377897814, 0.8284271138586767, 0.828427123384198, 0.8284271245758775, 0.8284271247248971, 0.8284271247435282, 0.8284271247458573, 0.8284271247461485]\n"
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]
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},
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{
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"data": {
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",
|
|
"text/plain": [
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"<Figure size 1000x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"I1, h_list, errors1 = compute_I(f, a, b, m)\n",
|
|
"\n",
|
|
"print(f\"I1 = {I1}\")\n",
|
|
"\n",
|
|
"plt.figure(figsize=(10, 5))\n",
|
|
"plt.plot(np.log(h_list), np.log(errors1), \"o-\", label=\"Erreur numérique\")\n",
|
|
"plt.plot(np.log(h_list), 2 * np.log(h_list), \"--\", label=\"Ordre 2\")\n",
|
|
"plt.plot(np.log(h_list), 4 * np.log(h_list), \"--\", label=\"Ordre 4\")\n",
|
|
"plt.xlabel(\"log(h)\")\n",
|
|
"plt.ylabel(\"log(Erreur)\")\n",
|
|
"plt.title(\"Convergence de la méthode d'intégration\")\n",
|
|
"plt.legend()\n",
|
|
"plt.grid(True)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"a, b = 0, 1\n",
|
|
"I2, h_list, errors2 = compute_I(f, a, b, m)\n",
|
|
"\n",
|
|
"plt.figure(figsize=(10, 5))\n",
|
|
"plt.plot(np.log(h_list), np.log(errors2), label=\"Approximation de l'intégrale\")\n",
|
|
"plt.plot(np.log(h_list), np.log(h_list), \"--\", label=\"h\")\n",
|
|
"plt.plot(np.log(h_list), 2 * np.log(h_list), \"--\", label=\"h^2\")\n",
|
|
"plt.xlabel(\"h\")\n",
|
|
"plt.ylabel(\"Approximation de l'intégrale\")\n",
|
|
"plt.title(\"Approximation de l'intégrale par la méthode de Simpson\")\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Dans le premier cas, l'ordre de convergence est **2** alors que dans le second cas, l'ordre de convergence est **1**. Cela est du au fait que lorsque l'on se rapproche trop de 0, donc quand l'intégrale est entre 0 et 1 et que h devient trop petit, les approximations sont trop approximatives"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Question 2"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def RKI(f, y0, vt, tol=1e-6, itmax=20):\n",
|
|
" N, T = len(vt), vt[-1]\n",
|
|
" yn = np.zeros((len(y0), N))\n",
|
|
" yn[:, 0] = y0\n",
|
|
" h = T / N\n",
|
|
"\n",
|
|
" for n in range(N - 1):\n",
|
|
" p1 = f(vt[n], yn[:, n])\n",
|
|
" def F1(p2):\n",
|
|
" return f(vt[n] + h / 3, yn[:, n] + h / 6 * (p1 + p2)) - p2\n",
|
|
" p2 = newton(F1, yn[:, n], fprime=None, tol=tol, maxiter=itmax)\n",
|
|
" def F2(yn1):\n",
|
|
" return yn[:, n] + h / 4 * (3 * p2 + f(vt[n + 1], yn1)) - yn1\n",
|
|
" yn[:, n + 1] = newton(F2, yn[:, n], fprime=None, tol=tol, maxiter=itmax)\n",
|
|
" return yn"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Question 3"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Error with h=0.05: 0.00515308673377779\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"a, b = [0, 2]\n",
|
|
"\n",
|
|
"\n",
|
|
"def f(t, y):\n",
|
|
" return t * np.power(y, 3) - t * y\n",
|
|
"\n",
|
|
"\n",
|
|
"y0 = [0.5]\n",
|
|
"\n",
|
|
"\n",
|
|
"def sol_exact(t):\n",
|
|
" return 1 / np.sqrt(1 + 3 * np.exp(np.power(t, 2)))\n",
|
|
"\n",
|
|
"\n",
|
|
"x_fine = np.linspace(a, b, 1000)\n",
|
|
"y_fine = sol_exact(x_fine)\n",
|
|
"\n",
|
|
"h = 0.05\n",
|
|
"vt = np.arange(a, b, h)\n",
|
|
"y = RKI(f, y0, vt)\n",
|
|
"\n",
|
|
"y_exact_interp = np.interp(vt, x_fine, y_fine)\n",
|
|
"\n",
|
|
"plt.figure(figsize=(10, 5))\n",
|
|
"plt.plot(x_fine, y_fine, label=\"Solution exacte\")\n",
|
|
"plt.scatter(vt, y, label=\"Solution numérique\", color=\"red\")\n",
|
|
"plt.legend()\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"error = np.max(np.abs(y - y_exact_interp))\n",
|
|
"print(f\"Error with h={h}: {error}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Convergence order: 1.03\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"k = np.arange(1, 10 + 1)\n",
|
|
"h_list = 1 / np.power(2, k)\n",
|
|
"\n",
|
|
"errors = []\n",
|
|
"for h in h_list:\n",
|
|
" vt = np.arange(a, b, h)\n",
|
|
" y = RKI(f, y0, vt)\n",
|
|
" y_exact = sol_exact(vt)\n",
|
|
" errors.append(np.max(np.abs(y - y_exact)))\n",
|
|
"\n",
|
|
"log_h = np.log(h_list)\n",
|
|
"log_errors = np.log(errors)\n",
|
|
"order = np.polyfit(log_h, log_errors, 1)[0]\n",
|
|
"\n",
|
|
"plt.figure(figsize=(10, 5))\n",
|
|
"plt.plot(log_h, log_errors, \"o-\", label=f\"Erreur (ordre {order:.2f})\")\n",
|
|
"plt.plot(log_h, log_h, \"--\", label=\"h\")\n",
|
|
"plt.plot(log_h, 2 * log_h, \"--\", label=\"h^2\")\n",
|
|
"plt.plot(log_h, 4 * log_h, \"--\", label=\"h^4\")\n",
|
|
"plt.xlabel(\"log(h)\")\n",
|
|
"plt.ylabel(\"log(error)\")\n",
|
|
"plt.legend()\n",
|
|
"plt.grid(True)\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"print(f\"Convergence order: {order:.2f}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"#### L'ordre de convergence de ce schéma est **1**"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Question 4"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1500x500 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def F(t, Y):\n",
|
|
" x, y, z = Y\n",
|
|
" return np.array(\n",
|
|
" [\n",
|
|
" 1 + np.power(x, 2) * y - (z + 1) * x,\n",
|
|
" x * z - np.power(x, 2) * y,\n",
|
|
" -x * z + 1.45,\n",
|
|
" ]\n",
|
|
" )\n",
|
|
"\n",
|
|
"\n",
|
|
"h = 0.025\n",
|
|
"y0 = np.array([1, 1, 1])\n",
|
|
"t = np.arange(0, 40, h)\n",
|
|
"\n",
|
|
"sol_exact = odeint(F, y0, t, tfirst=True)\n",
|
|
"y = RKI(F, y0, t)\n",
|
|
"fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(15, 5))\n",
|
|
"\n",
|
|
"ax1.scatter(y[0], y[1], label=\"Solution numérique\", color=\"red\")\n",
|
|
"ax1.plot(sol_exact[:, 0], sol_exact[:, 1], label=\"Solution exacte\", color=\"blue\")\n",
|
|
"ax1.legend()\n",
|
|
"ax1.set_title(\"x vs y\")\n",
|
|
"\n",
|
|
"ax2.scatter(y[1], y[2], label=\"Solution numérique\", color=\"red\")\n",
|
|
"ax2.plot(sol_exact[:, 1], sol_exact[:, 2], label=\"Solution exacte\", color=\"blue\")\n",
|
|
"ax2.legend()\n",
|
|
"ax2.set_title(\"y vs z\")\n",
|
|
"\n",
|
|
"ax3.scatter(y[0], y[2], label=\"Solution numérique\", color=\"red\")\n",
|
|
"ax3.plot(sol_exact[:, 0], sol_exact[:, 2], label=\"Solution exacte\", color=\"blue\")\n",
|
|
"ax3.legend()\n",
|
|
"ax3.set_title(\"x vs z\")\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x700 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def R(z):\n",
|
|
" return (1 + 3 / 4 * z * (1 + z / 6) / (1 - z / 6)) / (1 - z / 4)\n",
|
|
"\n",
|
|
"\n",
|
|
"x = np.linspace(-15, 5, 100)\n",
|
|
"y = np.linspace(-7.5, 7.5, 100)\n",
|
|
"X, Y = np.meshgrid(x, y)\n",
|
|
"Z = R(X + 1j * Y)\n",
|
|
"plt.figure(figsize=(10, 7))\n",
|
|
"plt.contour(X, Y, np.abs(Z), levels=[1], cmap=\"rainbow\")\n",
|
|
"plt.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "studies",
|
|
"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": "3.13.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|