chaospy.quadrature.grid¶
- chaospy.quadrature.grid(order, domain=(0, 1), growth=False, segments=1)[source]¶
Generate the quadrature abscissas and weights for simple grid.
- Args:
- order (int, numpy.ndarray):
Quadrature order.
- domain (chaospy.distributions.baseclass.Distribution, numpy.ndarray):
Either distribution or bounding of interval to integrate over.
- Returns:
- (numpy.ndarray, numpy.ndarray):
The quadrature points and weights. The points are equi-spaced grid on the interior of the domain bounds. The weights are all equal to 1/len(weights[0]).
- Example:
>>> abscissas, weights = chaospy.quadrature.grid(4, chaospy.Uniform(-1, 1)) >>> abscissas.round(4) array([[-0.8, -0.4, 0. , 0.4, 0.8]]) >>> weights.round(4) array([0.2, 0.2, 0.2, 0.2, 0.2]) >>> abscissas, weights = chaospy.quadrature.grid([1, 1]) >>> abscissas.round(4) array([[0.25, 0.25, 0.75, 0.75], [0.25, 0.75, 0.25, 0.75]]) >>> weights.round(4) array([0.25, 0.25, 0.25, 0.25])