np.leggauss()
计算Gauss-legendre正交的采样点和权重。这些采样点和权重将正确积分度的多项式2*deg - 1
在间隔内或更少[-1, 1]
配重函数f(x) = 1
用法:np.leggauss(deg)
参数:
deg :[int] Number of sample points and weights. It must be >= 1.
返回:1. [ndarray]包含样本点的一维ndarray。
2. [ndarray]包含权重的一维ndarray。
代码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)
输出:
(array([-0.57735027, 0.57735027]), array([ 1., 1.]))
代码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)
输出:
(array([-0.77459667, 0., 0.77459667]), array([ 0.55555556, 0.88888889, 0.55555556]))
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