Python Numpy np.leggauss()用法及代碼示例

np.leggauss()計算Gauss-legendre正交的采樣點和權重。這些采樣點和權重將正確積分度的多項式2*deg - 1 在間隔內或更少[-1, 1]配重函數f(x) = 1

用法： np.leggauss(deg)

參數：

deg :[int] Number of sample points and weights. It must be >= 1.

返回：1. [ndarray]包含樣本點的一維ndarray。
2. [ndarray]包含權重的一維ndarray。

代碼1：

# Python program explaining 
# numpy.leggauss() method  
    
# importing numpy as np   
# and numpy.polynomial.legendre module as geek  
import numpy as np  
import numpy.polynomial.legendre as geek 
    
# Input degree = 2 
  
degree = 2 
     
# using np.leggauss() method  
res = geek.leggauss(degree)  
  
# Resulting array of sample point and weight 
print (res)

輸出：

(array([-0.57735027,  0.57735027]), array([ 1.,  1.]))

代碼2：

# Python program explaining 
# numpy.leggauss() method  
    
# importing numpy as np   
# and numpy.polynomial.legendre module as geek  
import numpy as np  
import numpy.polynomial.legendre as geek 
    
# Input degree 
degree = 3
    
# using np.leggauss() method  
res = geek.leggauss(degree)  
  
# Resulting array of sample point and weight 
print (res)

輸出：

(array([-0.77459667,  0.,  0.77459667]), array([ 0.55555556,  0.88888889,  0.55555556]))

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