feat: Trapez und Simpson Integration. build: scipy zu requirements hinzugefügt

requirements.txt

@@ -1,3 +1,4 @@
-numpy
-matplotlib
-ipykernel
+numpy==2.4.3
+matplotlib==3.10.8
+ipykernel==7.2.0
+scipy==1.17.1

src/scipy_integrate.py

@@ -0,0 +1,41 @@
+# %%
+# Python initialisieren
+import matplotlib.pyplot as plt
+import numpy as np
+import scipy.integrate as ig
+
+# Parameter
+x_0 = 0.0
+x_E = np.pi
+N = 11
+n = 5
+pr = 6
+lw = 3
+fig = 1
+
+# Funktion
+f = lambda x: np.sin(x)
+
+# Berechnungen
+for k in range(0, n):
+    x_data = np.linspace(x_0, x_E, N)
+    y_data = f(x_data)
+    I = ig.trapezoid(y=y_data, x=x_data)
+    J = ig.simpson(y=y_data, x=x_data)
+    print(f"I = {I:#.16g}")
+    print(f"J = {J:#.16g}")
+    N *= 2
+
+# Ausgabe
+print(f"I = {I:#.{pr}g}")
+print(f"J = {J:#.{pr}g}")
+
+# Plot
+fh = plt.figure(fig)
+plt.plot(x_data, y_data, linewidth=lw)
+plt.xlabel("x")
+plt.ylabel("y")
+plt.grid(visible=True)
+plt.axis("image")
+plt.show()
+# %%