FAQ

Gauss–Legendre algorithm

Known as: Salamin–Brent algorithm, Brent–Salamin algorithm, Gauss-Legendre 
The Gauss–Legendre algorithm is an algorithm to compute the digits of π. It is notable for being rapidly convergent, with only 25 iterations… (More)
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Topic mentions per year

Topic mentions per year

1972-2017
051019722017

Related topics

Related topics

4 relations
AlgorithmBorwein's algorithmList of algorithmsRandom-access memory

Related mentions per year

Related mentions per year

1936-2018
19401960198020002020
Gauss–Legendre algorithm
Algorithm
Random-access memory
List of algorithms
Borwein's algorithm

Papers overview

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2016
2016
Gauss-Legendre Sampling on the Rotation Group
We propose a Gauss-Legendre quadrature based sampling on the rotation group for the representation of a band-limited signal such… (More)
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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 interest because of their role in numerical… (More)
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2013
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 presented… (More)
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2010
2010
Positivity of the Weights of Extended Gauss-Legendre Quadrature Rules
We show that the weights of extended Gauss-Legendre quadrature rules are all positive. 
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2009
2009
Gauss-Green cubature and moment computation over arbitrary geometries
We have implemented in Matlab a Gauss-like cubature formula over arbitrary bivariate domains with a piecewise regular boundary… (More)
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2008
2008
Gauss-Legendre and Chebyshev quadratures for singular integrals
Article history: Received 5 March 2008 Received in revised form 7 July 2008 Accepted 24 July 2008 Available online 29 July 2008… (More)
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2003
2003
On Computing the Points and Weights for Gauss-Legendre Quadrature
 
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1996
1996
Two adaptive Gauss-Legendre type algorithms for the verified computation of definite integrals
We propose a two algorithms for computation of (sharp) enclosures of definite interevals: a lor.rd adaptive dgorid~a (LAA) and a… (More)
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1995
1995
Acceleration of Gauss-legendre Quadrature for an Integrand with an Endpoint Singularity
An asymptotic error expansion for Gauss-Legendre quadrature is derived for an integrand with an endpoint singularity. It permits… (More)
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1974
1974
Computation of Legendre Series Coefficients [C6] (Algorithm 473)
<italic>LEGSER</italic> approximates the first <italic>N</italic> + 1 coefficients <italic>B<subscrpt>n</subscrpt></italic> of… (More)
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