Self-similar power transforms in extrapolation problems

DOI10.1007/s10910-005-9003-7zbMath1101.40001arXivcond-mat/0606104OpenAlexW2046562189WikidataQ29398479 ScholiaQ29398479MaRDI QIDQ2503715

V. I. Yukalov, Simon Gluzman

Publication date: 22 September 2006

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0606104

zbMATH Keywords

power seriescomputational methodsextrapolation methodsself-similar approximantsresummation and renormalization methods

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence and divergence of series and sequences of functions (40A30) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items (6)

Robust topology optimization of continuum structures with loading uncertainty using a perturbation method ⋮ Hybrid reliability analysis with uncertain statistical variables, sparse variables and interval variables ⋮ Extrapolation of perturbation-theory expansions by self-similar approximants ⋮ Self-similar extrapolation from weak to strong coupling ⋮ Additive self-similar approximants ⋮ Extrapolation and interpolation of asymptotic series by self-similar approximants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Summation of power series by self-similar factor approximants
• Critical exponents, hyperscaling, and universal amplitude ratios for two- and three-dimensional self-avoiding walks.
• Self-similar perturbation theory
• Self-similar structures and fractal transforms in approximation theory
• Theory of the weakly interacting Bose gas
• Method of self-similar approximations
• Determination of f(∞) from the asymptotic series for f(x) about x=0
• EXTRAPOLATION OF POWER SERIES BY SELF-SIMILAR FACTOR AND ROOT APPROXIMANTS
• Stability conditions for method of self-similar approximations

This page was built for publication: Self-similar power transforms in extrapolation problems