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Gauss–Legendre algorithm

Known as: Salamin–Brent algorithm, Brent–Salamin algorithm, Gauss-Legendre Algorithm 
The Gauss–Legendre algorithm is an algorithm to compute the digits of π. It is notable for being rapidly convergent, with only 25 iterations… Expand
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Papers overview

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2015
2015
A numerical method for solving the Volterra-Fredholm integral equations is presented. The method is based upon shifted Legendre… Expand
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2014
2014
Gauss-Legendre quadrature rules are of considerable theoretical and practical inter- est because of their role in numerical… Expand
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Highly Cited
2013
Highly Cited
2013
An efficient algorithm for the accurate computation of Gauss--Legendre and Gauss--Jacobi quadrature nodes and weights is… Expand
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2013
2013
Fractional directional integrals are the extensions of the Riemann-Liouville fractional integrals from one- to multi-dimensional… Expand
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Highly Cited
2011
Highly Cited
2011
The problem of the rate of convergence of Legendre approximation is considered. We first establish the decay rates of the… Expand
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2008
2008
University Observatory, Juliane Maries Vej 30, DK-2100, Copenhagen, DenmarkReceived / AcceptedAbstract. A new scheme of sky… Expand
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2005
2005
Among all integration rules with n points, it is well-known that n-point Gauss-Legendre quadrature [email protected]!"-"1^1f(x… Expand
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2002
2002
Three methods are compared for computing n points xi and weights w(xi) for Gauss--Legendre quadrature. The eigensystem method… Expand
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1995
1995
We consider the existence of positive solutions of a certain class of algebraic matrix Riccati equations with two parameters, c… Expand
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Highly Cited
1989
Highly Cited
1989
On analyse une nouvelle methode variationnelle pour l'approximation de l'equation de la chaleur a l'aide des elements finis… Expand
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