Study of a generalized Levin-Weniger convergence accelerator of numerical series: Particular cases and applications to multi-electron integrals in atomic physics

DOI10.1016/j.apnum.2010.07.002zbMath1201.65006OpenAlexW1981535305MaRDI QIDQ608515

Francisco Cordobés-Aguilar, Ignacio Porras

Publication date: 25 November 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.07.002

zbMATH Keywords

convergence accelerationfew-electron atomsLevin transformationWeniger transformation

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05)

Uses Software

• MPFR
• MPFRCPP

Cites Work

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• Convergence acceleration via combined nonlinear-condensation transformations
• Extrapolation methods
• On the kernel of sequence transformations
• A general extrapolation procedure revisited
• A derivation of extrapolation algorithms based on error estimates
• MPFR
• The Set of Logarithmically Convergent Sequences Cannot be Accelerated
• Practical Extrapolation Methods
• The SIAM 100-Digit Challenge
• New summation technique for rapidly divergent perturbation series. Hydrogen atom in magnetic field
• Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory
• Development of non-linear transformations for improving convergence of sequences
• Numerical Methods for Special Functions
• A note on T-transformation of Lubkin
• Generalization of Laplace's Expansion to Arbitrary Powers and Functions of the Distance between Two Points