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
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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
|