SOME APPLICATIONS OF NONLINEAR CONVERGENCE ACCELERATORS

HOMEIER, HHH (1993) SOME APPLICATIONS OF NONLINEAR CONVERGENCE ACCELERATORS. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 45 (6). pp. 545-562. ISSN 0020-7608,

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Abstract

A number of established nonlinear convergence acceleration methods are presented. It is discussed how these methods, and also some new algorithms, can be applied successfully to Fourier series. Some of the new accelerators are tailored for these series. Others are also useful for other types of series and sequences, and not only for convergence acceleration, but also for extrapolation or summation problems. Applications to the numerical inversion of the Laplace transform and to a Fourier series arising in the Matsubara formalism are presented.

Item Type: Article
Uncontrolled Keywords: RICHARDSON EXTRAPOLATION PROCESS; SERIES EXPANSIONS; TRANSFORMATIONS; SUMMATION; ALGORITHM; FOURIER;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:43
URI: https://pred.uni-regensburg.de/id/eprint/54192

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