Move task 5 to group project

Notes/Semester 4/HM2 - Höhere Mathematik 2/Week 5/Miguel_S5_Aufg2.py

@@ -1,65 +0,0 @@
-#%%
-from numpy import array, empty, linalg, zeros
-from matplotlib import pyplot
-from scipy import interpolate
-
-def Miguel_S5_Aufg2(x, y, xx):
-    n = len(x)
-    a = empty((n - 1, 1))
-    b = empty((n - 1, 1))
-    c = empty((n, 1))
-    d = empty((n - 1, 1))
-    h = empty((n - 1, 1))
-
-    for i in range(0, n - 1):
-        a[i] = y[i]
-        h[i] = x[i + 1] - x[i]
-
-    c[0] = 0
-    c[n - 1] = 0
-
-    A = zeros((n - 2, n - 2))
-    z = empty((n - 2, 1))
-
-    for i in range(0, n - 2):
-        if i == 0:
-            A[i][0] = 2 * (h[0] + h[1])
-            A[i][1] = h[1]
-            z[i] = 3 * (((y[2] - y[1]) / h[1]) - ((y[1] - y[0]) / h[0]))
-        else:
-            A[i][i - 1] = h[i]
-            A[i][i] = 2 * (h[i] + h[i + 1])
-            z[i] = 3 * (((y[i + 2] - y[i + 1]) / h[i + 1]) - ((y[i + 1] - y[i]) / h[i]))
-        
-            if i < n - 3:
-                A[i][i + 1] = h[i + 1]
-
-    c[1:n - 1,:] = linalg.solve(A, z)	
-
-    for i in range(0, n - 1):
-        b[i] = ((y[i + 1] - y[i]) / h[i]) - ((h[i] / 3) * (c[i + 1] + 2 * c[i]))
-        d[i] = (1 / (3 * h[i])) * (c[i + 1] - c[i])
-
-    yy = empty(len(xx))
-
-    for i in range(0, len(yy)):
-        j = 0
-        value = xx[i]
-
-        while x[j] < value:
-            j += 1
-
-        yy[i] = y[j - 1] + b[j - 1] * (value - x[j - 1]) + c[j - 1] * (value - x[j - 1]) ** 2 + d[j - 1] * (value - x[j - 1]) ** 3
-
-    pyplot.scatter(xx, yy)
-    return yy
-
-# %%
-
-x = array([4, 6, 8, 10])
-y = array([6, 3, 9, 0])
-xx = array([4.5, 6.5, 9.0])
-
-Miguel_S5_Aufg2(x, y, xx)
-
-# %%

Notes/Semester 4/HM2 - Höhere Mathematik 2/Week 5/Miguel_S5_Aufg3.py

@@ -1,29 +0,0 @@
-# %%
-from Miguel_S5_Aufg2 import Miguel_S5_Aufg2
-from matplotlib import pyplot
-from numpy import array, polyfit, polyval
-from scipy import interpolate
-
-x = array([1900, 1910, 1920, 1930, 1940, 1950, 1960, 1970, 1980, 1990, 2000, 2010])
-y = array([75.995, 91.972, 105.711, 123.203, 131.669, 150.697, 179.323, 203.212, 226.505, 249.633, 281.422, 308.745])
-xx = array([1917, 1925, 1941, 1956, 1972, 1998, 2000, 2008])
-
-# a)
-
-pyplot.figure()
-Miguel_S5_Aufg2(x, y, xx)
-
-# b)
-
-pyplot.figure()
-pyplot.scatter(xx, interpolate.CubicSpline(x, y)(xx))
-
-# c) 1
-pyplot.figure()
-pyplot.scatter(xx, polyval(polyfit(x, y, deg = 11), xx))
-
-# c) 2
-pyplot.figure()
-pyplot.scatter(xx - 1900, polyval(polyfit(x - 1900, y, deg = 11), xx - 1900))
-
-# %%

Notes/Semester 4/HM2 - Höhere Mathematik 2/group-project

@@ -1 +1 @@
-Subproject commit 842806023e486ee60013a719d0ab7961b4b07524
+Subproject commit 77da7869c5537751290e177e86c55becc22b7c6b