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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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Related topics

Related topics

7 relations
AlgorithmBorwein's algorithmChronology of computation of πList of algorithms
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method
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
Iteration-Free Computation of Gauss-Legendre Quadrature Nodes and Weights
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
Fast and Accurate Computation of Gauss-Legendre and Gauss-Jacobi Quadrature Nodes and Weights
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
Gauss-Jacobi-type quadrature rules for fractional directional integrals
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
On the convergence rates of Legendre approximation
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
Gauss-Legendre Sky Pixelization (GLESP) for CMB maps
University Observatory, Juliane Maries Vej 30, DK-2100, Copenhagen, DenmarkReceived / AcceptedAbstract. A new scheme of sky… Expand
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2005
2005
On numerical improvement of Gauss-Legendre quadrature rules
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
On Computing the Points and Weights for Gauss-Legendre Quadrature
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
Existence of algebraic matrix Riccati equations arising in transport theory
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
Continuous finite elements in space and time for the heat equation
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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