Extrapolation of perturbation-theory expansions by self-similar approximants

The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their us...

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Veröffentlicht in:	European journal of applied mathematics Jg. 25; H. 5; S. 595 - 628
Hauptverfasser:	GLUZMAN, S., YUKALOV, V.I.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Cambridge, UK Cambridge University Press 01.10.2014
Schlagworte:	Applied mathematics Approximants Approximation Asymptotic expansions Asymptotic methods Asymptotic properties Extrapolation Mathematical analysis Self-similarity Function-theoretic methods Approximation with constraints Functional analytic methods of summability Approximation to limiting values Approximation by arbitrary nonlinear expressions
ISSN:	0956-7925, 1469-4425
Online-Zugang:	Volltext
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