EXTRAPOLATION OF POWER SERIES BY SELF-SIMILAR FACTOR AND ROOT APPROXIMANTS

DOI10.1142/S0217979204026330zbMath1071.81517arXivcond-mat/0412046OpenAlexW2015166363MaRDI QIDQ4661892

V. I. Yukalov, Simon Gluzman

Publication date: 30 March 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0412046

zbMATH Keywords

summabilitybound statesPower seriescomputational methods in statistical physicsself-similar approximants

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (4)

Extrapolation of perturbation-theory expansions by self-similar approximants ⋮ Extrapolation and interpolation of asymptotic series by self-similar approximants ⋮ Self-similar power transforms in extrapolation problems ⋮ Self-similar factor approximants for evolution equations and boundary-value problems

Cites Work

• Self-similar law of energy release before materials fracture
• Summation of power series by self-similar factor approximants
• Quasifractional approximants for matching small and large \(\delta\) approaches
• ``Slimming of power-law tails by increasing market returns
• Self-similar perturbation theory
• Critical market crashes
• Perturbation theory for particle in a box
• SELF-SIMILAR EXTRAPOLATION OF ASYMPTOTIC SERIES AND FORECASTING FOR TIME SERIES
• A summation method for crystal statistics
• Method of self-similar approximations
• Stability conditions for method of self-similar approximations

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