An example analysis of Simpson method for realizing numerical integration in Python

In this paper, we describe the Simpson method of Python to realize numerical integration. Share to everyone for your reference. Specific as follows:

#coding = Utf-8#simpson method calculates integral, numerical integral, the effect is very ideal from math import *def func (x): "" "  defines the integral function" "" Return X*sin (x) def get_n (a,b,w Idth): # Width for step n=int ((b-a)/width + 1) If n%2 = = 0:  n=n+1 return Ndef generatedata (a,b,n,width): Datas = [] r=a for I in range (0,n):  datas.append (func (R))  r = r+width return datasdef simpson_integral (datas,width,n): sum = datas[ 0]+datas[n-1] for I in range (2,n):  if i%2== 0:   sum = sum +4*datas[i-1]  else:   sum = sum +2*datas[i-1] Retur n sum*width/3.0if __name__ = = "__main__": a=1.0 #积分上限 b=3.0 #积分下限 width=0.0625 #步长 n=get_n (a,b,width) datas = Generatedata (a,b,n,width) Print simpson_integral (datas,width,n)

Hopefully this article will help you with Python programming.

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