`scipy.integrate._rules._genz_malik:GenzMalikCubature`

source: /scipy/integrate/_rules/_genz_malik.py :11

Signature

   class     GenzMalikCubature (    ndim    ,    degree    =  7   ,    lower_degree    =  5   ,    xp    =  None     )

Members

__init__

Summary

Genz-Malik cubature.

Extended Summary

Genz-Malik is only defined for integrals of dimension >= 2.

Parameters

ndim : int: The spatial dimension of the integrand.
xp : array_namespace, optional: The namespace for the node and weight arrays. Default is None, where NumPy is used.

Attributes

higher : Cubature: Higher-order rule.
lower : Cubature: Lower-order rule.

Examples

Evaluate a 3D integral:

import numpy as np
from scipy.integrate import cubature
from scipy.integrate._rules import GenzMalikCubature
def f(x):
    # f(x) = cos(x_1) + cos(x_2) + cos(x_3)
    return np.sum(np.cos(x), axis=-1)
rule = GenzMalikCubature(3) # Use 3D Genz-Malik
a, b = np.array([0, 0, 0]), np.array([1, 1, 1])

✓

rule.estimate(f, a, b) # True value 3*sin(1), approximately 2.5244
rule.estimate_error(f, a, b)

✗

Aliases

scipy.integrate._cubature.GenzMalikCubature