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Series acceleration
Known as:
Sequence acceleration
, Accelerated convergence
, Acceleration of convergence
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In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques…
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Wikipedia
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Topic mentions per year
1962-2018
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1962
2018
Related topics
Related topics
13 relations
Aitken's delta-squared process
Euler–Maclaurin formula
GNU Scientific Library
Minimum polynomial extrapolation
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Broader (1)
Perturbation theory
Related mentions per year
Related mentions per year
1936-2018
1940
1960
1980
2000
2020
Series acceleration
Numerical analysis
Perturbation theory
Rate of convergence
Numerical integration
Padé approximant
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2012
Highly Cited
2012
Comparison of Scenario-Based and Interval Optimization Approaches to Stochastic SCUC
Lei Wu
,
Mohammad Shahidehpour
,
Zuyi Li
IEEE Transactions on Power Systems
2012
This paper compares applications of scenario-based and interval optimization approaches to stochastic security-constrained unit…
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2009
2009
Acceleration of Fourier Series
Charles N. Moore
2009
We discuss the effects of several sequence acceleration methods on the partial sums of Fourier series. For a large set of…
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2001
2001
Series Acceleration Formulas for Dirichlet Series with Periodic Coefficients
David M. Bradley
2001
Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special cases include Ramanujan’s…
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2000
2000
Convergence Acceleration of Alternating Series
Henri Cohen
,
Fernando Rodriguez-Villegas
,
Don Zagier
Experimental Mathematics
2000
We discuss some linear acceleration methods for alternating series which are in theory and in practice much better than that of…
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1998
1998
Using approximate inverses in algebraic multilevel methods
Yvan Notay
Numerische Mathematik
1998
This paper deals with the iterative solution of large sparse symmetric positive definite systems. We investigate preconditioning…
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Highly Cited
1998
Highly Cited
1998
Accelerating the EMML algorithm and related iterative algorithms by rescaled block-iterative methods
Charles L. Byrne
IEEE Trans. Image Processing
1998
Analysis of convergence of the algebraic reconstruction technique (ART) shows it to be predisposed to converge to a solution…
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1997
1997
Hypergeometric series acceleration via the WZ method
Tewodros Amdeberhan
,
Doron Zeilberger
Electr. J. Comb.
1997
Based on the WZ method, some series acceleration formulas are given. These formulas allow us to write down an infinite family of…
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1997
1997
Extended Complex Series Methods for the Convergence Acceleration of Fourier Series Running Title Acceleration Methods for Fourier Series Proofs to Be Sent To
Herbert H. H. Homeierzx
,
Herbert H. H. Homeier
1997
The acceleration of slowly convergent Fourier series is discussed. For instance, such series arise in spectral methods with…
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Highly Cited
1997
Highly Cited
1997
GULP: A computer program for the symmetry-adapted simulation of solids
Julian D Gale
1997
Algorithms for the symmetry-adapted energy minimisation of solids using analytical Ðrst and second derivatives have been devised…
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Highly Cited
1989
Highly Cited
1989
Nonlinear Sequence Transformations for the Acceleration of Convergence and the Summation of Divergent Series
Ernst Joachim Weniger
1989
Slowly convergent series and sequences as well as divergent series occur quite frequently in the mathematical treatment of…
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