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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… 
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Related topics

Related topics

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

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Gas flow-rate measurement using a transit-time multi-path ultrasonic flow meter based on PSO-SVM
Transit-time multi-path ultrasonic flow meters (TM-UFM) have been widely employed for measuring flow rate of gas and liquid… 
2017
2017
An exponentially convergent Volterra-Fredholm method for integro-differential equations
Extending the authors’ recent work [15] on the explicit computation of error bounds for Nystrom solvers applied to one… 
2014
2014
Two point Gauss-Legendre Quadrature Rule for Riemann-Stieltjes integrals
In order to approximate the Riemann--Stieltjes integral $\int_a^b {f\left( t \right)dg\left( t \right)}$ by $2$--point Gaussian… 
2013
2013
Nonconforming finite element methods on quadrilateral meshes
It is well known that it is comparatively difficult to design nonconforming finite elements on quadrilateral meshes by using… 
2011
2011
A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximation of Real Definite Integrals in Adaptive Environment
A mixed quadrature rule blending Clenshaw-Curtis five point rule and Gauss-Legendre three point rule is formed. The mixed rule… 
2010
2010
Isospectral Property of Hamiltonian Boundary Value Methods (HBVMs) and their connections with Runge-Kutta collocation methods
One main issue, when numerically integrating autonomous Hamiltonian systems, is the long-term conservation of some of its… 
2010
2010
Full seismic waveform inversion for structural and source parameters
2009
2009
Treatment of Singular Integrals on Generalized Curvilinear Parametric Quadrilaterals in Higher Order Method of Moments
Singular integrals over the generalized curvilinear parametric quadrilaterals in higher order method of moments (MoM) are treated… 
Highly Cited
2004
Highly Cited
2004
A generalized SSI reliability model considering stochastic loading and strength aging degradation
A generalized stress-strength interference (SSI) reliability model to consider stochastic loading and strength aging degradation… 
1997
1997
Acceleration of Gauss-Legendre quadrature for an integrand with an endpoint singularity
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