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bundles / scipy 1.17.1 / scipy / integrate / _quadrature / romb

function

scipy.integrate._quadrature:romb

source: /scipy/integrate/_quadrature.py :805

Signature

def   romb ( y ,  dx = 1.0 ,  axis = -1 ,  show = False )

Summary

Romberg integration using samples of a function.

Parameters

y : array_like

A vector of 2**k + 1 equally-spaced samples of a function.

dx : float, optional

The sample spacing. Default is 1.

axis : int, optional

The axis along which to integrate. Default is -1 (last axis).

show : bool, optional

When y is a single 1-D array, then if this argument is True print the table showing Richardson extrapolation from the samples. Default is False.

Returns

romb : ndarray

The integrated result for axis.

Notes

Array API Standard Support

romb has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable SCIPY_ARRAY_API=1 and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.

====================  ====================  ====================
Library               CPU                   GPU
====================  ====================  ====================
NumPy                 ✅                     n/a                 
CuPy                  n/a                   ✅                   
PyTorch               ✅                     ✅                   
JAX                   ✅                     ✅                   
Dask                  ✅                     n/a                 
====================  ====================  ====================

See dev-arrayapi for more information.

Examples

from scipy import integrate
import numpy as np
x = np.arange(10, 14.25, 0.25)
y = np.arange(3, 12)
✓
integrate.romb(y)
✗
y = np.sin(np.power(x, 2.5))
✓
integrate.romb(y)
✗
integrate.romb(y, show=True)
✗
integrate.romb([[1, 2, 3], [4, 5, 6]], show=True)
✓

See also

cumulative_trapezoid

cumulative integration for sampled data

dblquad

double integrals

fixed_quad

fixed-order Gaussian quadrature

quad

adaptive quadrature using QUADPACK

simpson

integrators for sampled data

tplquad

triple integrals

Aliases

  • scipy.integrate.romb

Referenced by

This package