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gptkbp:instanceOf
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gptkb:numerical_integration_method
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gptkbp:application
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computational physics
engineering
statistics
finite element methods
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gptkbp:appliesTo
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multi-dimensional integrals (via product rules)
one-dimensional integrals
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gptkbp:commonIn
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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
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gptkbp:firstPublished
|
1814
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gptkbp:namedAfter
|
gptkb:Carl_Friedrich_Gauss
|
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gptkbp:node_selection
|
roots of orthogonal polynomials
|
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gptkbp:property
|
exact for polynomials of degree up to 2n-1
|
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gptkbp:relatedConcept
|
gptkb:Clenshaw–Curtis_quadrature
gptkb:Newton–Cotes_formulas
|
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gptkbp:requires
|
weights
nodes
|
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gptkbp:usedFor
|
approximating definite integrals
|
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gptkbp:uses
|
gptkb:orthogonal_polynomials
weighted sum of function values
|
|
gptkbp:weight_function
|
depends on orthogonal polynomial family
|
|
gptkbp:bfsParent
|
gptkb:Hermite_polynomial
gptkb:Gauss–Chebyshev_quadrature
gptkb:Gauss–Hermite_quadrature
gptkb:Gauss–Kronrod_quadrature
gptkb:Gauss–Laguerre_quadrature
gptkb:Gauss–Legendre_quadrature
gptkb:Hermite_polynomials
|
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gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Gaussian quadrature
|