我们如何numpy.polynomial.legendre.leggauss在除了[-1, 1]?之外的时间间隔内使用NumPy包?
以下示例与scipy.integrate.quad间隔中的Gauss-Legendre方法进行比较[-1, 1].
import numpy as np
from scipy import integrate
# Define function and interval
a = -1.
b = 1.
f = lambda x: np.cos(x)
# Gauss-Legendre (default interval is [-1, 1])
deg = 6
x, w = np.polynomial.legendre.leggauss(deg)
gauss = sum(w * f(x))
# For comparison
quad, quad_err = integrate.quad(f, a, b)
print 'The QUADPACK solution: {0:.12} with error: {1:.12}'.format(quad, quad_err)
print 'Gauss-Legendre solution: {0:.12}'.format(gauss)
print 'Difference between …Run Code Online (Sandbox Code Playgroud)