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Refactor code in numerical methods notebooks

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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.
This commit is contained in:
Arthur Danjou
2025-09-01 16:14:53 +02:00
parent dfee405ea0
commit 8cf328e18a
31 changed files with 177 additions and 156 deletions
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21
M1/Numerical Optimisation/ComputerSession2.ipynb
View File

@@ -64,7 +64,8 @@
" return b, iter\n",
"\n",
"\n",
"f = lambda x: np.tanh(x)\n",
"def f(x):\n",
" return np.tanh(x)\n",
"aL, aR = -20, 3\n",
"print(dichotomy(f, aL, aR))"
]
@@ -132,9 +133,11 @@
" return x0, iter\n",
"\n",
"\n",
"f = lambda x: np.log(np.exp(x) + np.exp(-x))\n",
"def f(x):\n",
" return np.log(np.exp(x) + np.exp(-x))\n",
"x0 = 1.8\n",
"df = lambda x: (np.exp(x) - np.exp(-x)) / (np.exp(x) + np.exp(-x))\n",
"def df(x):\n",
" return (np.exp(x) - np.exp(-x)) / (np.exp(x) + np.exp(-x))\n",
"print(Newton(f, df, x0))"
]
},
@@ -183,7 +186,8 @@
" return x0, iter\n",
"\n",
"\n",
"f = lambda x: np.log(np.exp(x) + np.exp(-x))\n",
"def f(x):\n",
" return np.log(np.exp(x) + np.exp(-x))\n",
"xx = [(1, 1.9), (1, 2.3), (1, 2.4)]\n",
"\n",
"for x0, x1 in xx:\n",
@@ -259,8 +263,10 @@
" return x0, iter\n",
"\n",
"\n",
"f = lambda x: np.log(np.exp(x) + np.exp(-x))\n",
"df = lambda x: (np.exp(x) - np.exp(-x)) / (np.exp(x) + np.exp(-x))\n",
"def f(x):\n",
" return np.log(np.exp(x) + np.exp(-x))\n",
"def df(x):\n",
" return (np.exp(x) - np.exp(-x)) / (np.exp(x) + np.exp(-x))\n",
"print(DichotomyNewton(f, df, -20, 3))"
]
},
@@ -308,7 +314,8 @@
}
],
"source": [
"u = lambda x: np.sqrt((6 - x) ** 2 + 4)\n",
"def u(x):\n",
" return np.sqrt((6 - x) ** 2 + 4)\n",
"\n",
"\n",
"def objective_function(x):\n",

4
M1/Numerical Optimisation/ComputerSession3.ipynb
View File

@@ -39,8 +39,8 @@
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"\n",
"def generate_thetas(n):\n",
@@ -211,9 +211,9 @@
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from scipy.optimize import minimize\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"def polygon_perimeter(theta, n):\n",