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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Vydáno v:	European journal of applied mathematics Ročník 25; číslo 5; s. 595 - 628
Hlavní autoři:	GLUZMAN, S., YUKALOV, V.I.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cambridge, UK Cambridge University Press 01.10.2014
Témata:	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
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