Gauss–Legendre quadrature

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf numerical integration method
gptkbp:application computational mathematics
engineering
physics
gptkbp:category quadrature rule
gptkbp:exactForPolynomialsOfDegree 2n-1 (where n is number of nodes)
gptkbp:feature maximizes degree of exactness for given number of nodes
gptkbp:field gptkb:mathematics
numerical analysis
gptkbp:firstPublished 19th century
https://www.w3.org/2000/01/rdf-schema#label Gauss–Legendre quadrature
gptkbp:integrationInterval [-1, 1]
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkb:Adrien-Marie_Legendre
gptkbp:purpose approximate definite integrals
gptkbp:relatedTo gptkb:Gaussian_quadrature
gptkbp:type roots of Legendre polynomials
gptkbp:uses gptkb:Legendre_polynomials
gptkbp:weightType weights derived from Legendre polynomials
gptkbp:bfsParent gptkb:Louis_Gauss
gptkbp:bfsLayer 6