relife.utils.gauss_legendre
relife.utils.gauss_legendre¶
- relife.utils.gauss_legendre(func: Callable, a: numpy.ndarray, b: numpy.ndarray, *args: numpy.ndarray, ndim: int = 0, deg: int = 100) numpy.ndarray[source]¶
Gauss-Legendre integration.
- Parameters
func (Callable) – The function to be integrated.
a (float or ndarray.) – The lower bound of integration.
b (float or 1D array.) – The upper bound of integration.
*args (float or 2D array, optional) – Extra arguments required by the function func.
ndim (int, optional) – Number of dimensions of the func, by default 0.
deg (int, optional) – Degree of the Legendre polynomials (see numpy.polynomial.legendre.leggauss documentation), by default 100.
- Returns
The numerical integration of func from a to b.
- Return type
ndarray
Notes
It is a numerical integration of:
\[\int_a^b f(x) \mathrm{d} x\]