xrscipy.integrate.cumulative_trapezoid

xrscipy.integrate.cumulative_trapezoid(obj, coord)

cumulative_trapezoid(obj, coord)

Parameters:

obj (xarray object) – Values to integrate.
coord (string) – The coordinate along which to integrate.
initial (scalar, optional) – If given, insert this value at the beginning of the returned result. 0 or None are the only values accepted. Default is None, which means res has one element less than y along the axis of integration.

Returns:

res – The result of cumulative integration of y along axis. If initial is None, the shape is such that the axis of integration has one less value than y. If initial is given, the shape is equal to that of y.

Return type:

ndarray

See also

numpy.cumsum, numpy.cumprod

cumulative_simpson: cumulative integration using Simpson’s 1/3 rule
quad: adaptive quadrature using QUADPACK
fixed_quad: fixed-order Gaussian quadrature
dblquad: double integrals
tplquad: triple integrals
romb: integrators for sampled data
scipy.integrate.cumulative_trapezoid: scipy.integrate.cumulative_trapezoid : Original scipy implementation

Examples

>>> from scipy import integrate
>>> import numpy as np
>>> import matplotlib.pyplot as plt

Examples

>>> x = np.linspace(-2, 2, num=20)
>>> y = x
>>> y_int = integrate.cumulative_trapezoid(y, x, initial=0)
>>> plt.plot(x, y_int, 'ro', x, y[0] + 0.5 * x**2, 'b-')
>>> plt.show()