Gauss–Legendre quadrature
id:
gauss-legendre-quadrature-291-10489103
title:
Gauss–Legendre quadrature
text:
In numerical analysis, Gauss–Legendre quadrature is a form of Gaussian quadrature for approximating the definite integral of a function. For integrating over the interval [−1, 1], the rule takes the form: where n is the number of sample points used,
wi are quadrature weights, and
xi are the roots of the nth Legendre polynomial. This choice of quadrature weights wi and quadrature nodes xi is the unique choice that allows the quadrature rule to integrate degree 2n − 1 polynomials exactly. Many alg
brand slug:
wiki
category slug:
encyclopedia
description:
Numerical analysis concept
original url:
https://en.wikipedia.org/wiki/Gauss%E2%80%93Legendre_quadrature
date created:
date modified:
2024-03-25T04:38:21Z
main entity:
{"identifier":"Q85762846","url":"https://www.wikidata.org/entity/Q85762846"}
image:
fields total:
13
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