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Gaussian quadrature

Known as: Gauss-Legendre quadrature, Gaussian integration, Gauss legendre quadrature 
In numerical analysis, a quadrature rule is an approximation of the definite integral of a function, usually stated as a weighted sum of function… Expand
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Related topics

Related topics

42 relations
Adaptive quadratureChebyshev polynomialsChebyshev–Gauss quadratureClenshaw–Curtis quadrature
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
GPOPS-II: A MATLAB Software for Solving Multiple-Phase Optimal Control Problems Using hp-Adaptive Gaussian Quadrature Collocation Methods and Sparse Nonlinear Programming
A general-purpose MATLAB software program called GPOPS--II is described for solving multiple-phase optimal control problems using… Expand
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Highly Cited
2012
Highly Cited
2012
SPheno 3.1: extensions including flavour, CP-phases and models beyond the MSSM
We describe recent extensions of the program SPhenoincluding flavour aspects, CP-phases, R-parity violation and low energy… Expand
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Highly Cited
2009
Highly Cited
2009
Generalized Gaussian quadrature rules on arbitrary polygons
In this paper, we present a numerical algorithm based on group theory and numerical optimization to compute efficient quadrature… Expand
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Highly Cited
2008
Highly Cited
2008
Is Gauss Quadrature Better than Clenshaw-Curtis?
We compare the convergence behavior of Gauss quadrature with that of its younger brother, Clenshaw-Curtis. Seven-line MATLAB… Expand
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Highly Cited
2007
Highly Cited
2007
Calculation of Gauss quadrature rules
Most numerical integration techniques consist of approximating the integrand by a polynomial in a region or regions and then… Expand
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Highly Cited
2006
Highly Cited
2006
ltm: An R Package for Latent Variable Modeling and Item Response Analysis
The R package ltm has been developed for the analysis of multivariate dichotomous and polytomous data using latent variable… Expand
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Highly Cited
2000
Highly Cited
2000
Asymmetric Correlations of Equity Portfolios
Correlations between US stocks and the aggregate US market are much greater for downside moves, especially for extreme downside… Expand
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Highly Cited
1997
Highly Cited
1997
Calculation of Gauss-Kronrod quadrature rules
The Jacobi matrix of the (2n+1)-point Gauss-Kronrod quadrature rule for a given measure is calculated efficiently by a five-term… Expand
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Highly Cited
1996
Highly Cited
1996
Anti-Gaussian quadrature formulas
An anti-Gaussian quadrature formula is an (n + 1)-point formula of degree 2n - 1 which integrates polynomials of degree up to 2n… Expand
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Highly Cited
1966
Highly Cited
1966
Gaussian quadrature formulas
 
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