Gaussian quadrature

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf numerical integration method
gptkbp:application computational physics
engineering
statistics
finite element methods
gptkbp:appliesTo multi-dimensional integrals (via product rules)
one-dimensional integrals
gptkbp:commonIn gptkb:Gauss–Chebyshev_quadrature
gptkb:Gauss–Hermite_quadrature
gptkb:Gauss–Laguerre_quadrature
gptkb:Gauss–Legendre_quadrature
gptkbp:field gptkb:mathematics
numerical analysis
gptkbp:firstPublished 1814
https://www.w3.org/2000/01/rdf-schema#label Gaussian quadrature
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkbp:node_selection roots of orthogonal polynomials
gptkbp:property exact for polynomials of degree up to 2n-1
gptkbp:relatedConcept gptkb:Clenshaw–Curtis_quadrature
gptkb:Newton–Cotes_formulas
gptkbp:requires weights
nodes
gptkbp:usedFor approximating definite integrals
gptkbp:uses orthogonal polynomials
weighted sum of function values
gptkbp:weight_function depends on orthogonal polynomial family
gptkbp:bfsParent gptkb:Hermite_polynomials
gptkbp:bfsLayer 6