Search Results - "Gluzman, Simon"

Borel Transform and Scale-Invariant Fractional Derivatives United by Gluzman, Simon

“…The method of Borel transformation for the summation of asymptotic expansions with the power-law asymptotic behavior at infinity is combined with elements of…”
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Iterative Borel Summation with Self-Similar Iterated Roots by Gluzman, Simon

“…Borel summation is applied iteratively in conjunction with self-similar iterated roots. In general form, the iterative Borel summation is presented in the form…”
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Critical Permeability from Resummation by Gluzman, Simon

“…Special calculation methods are presented for critical indices and amplitudes for the permeability of thin wavy channels dependent on the waviness. The…”
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Asymptotics and Summation of the Effective Properties of Suspensions, Simple Liquids and Composites by Gluzman, Simon

“…We review the problem of summation for a very short truncation of a power series by means of special resummation techniques inspired by the field-theoretical…”
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Padé and Post-Padé Approximations for Critical Phenomena by Gluzman, Simon

“…We discuss and apply various direct extrapolation methods for calculation of the critical points and indices from the perturbative expansions my means of…”
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Modified Padé–Borel Summation by Gluzman, Simon

“…We revisit the problem of calculating amplitude at infinity for the class of functions with power-law behavior at infinity by means of a resummation procedure…”
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Optimized Factor Approximants and Critical Index by Gluzman, Simon

“…Based on expansions with only two coefficients and known critical points, we consider a minimal model of critical phenomena. The method of analysis is both…”
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Optimal Mittag–Leffler Summation by Gluzman, Simon

“…A novel method of an optimal summation is developed that allows for calculating from small-variable asymptotic expansions the characteristic amplitudes for…”
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Continued Roots, Power Transform and Critical Properties by Gluzman, Simon

“…We consider the problem of calculation of the critical amplitudes at infinity by means of the self-similar continued root approximants. Region of applicability…”
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Market Crashes and Time-Translation Invariance by Gluzman, Simon

“…The general framework for quantitative technical analysis of market prices is revisited and extended. The concept of a global time-translation invariance and…”
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Nonlinear Approximations to Critical and Relaxation Processes by Gluzman, Simon

“…We develop nonlinear approximations to critical and relaxation phenomena, complemented by the optimization procedures. In the first part, we discuss general…”
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Critical Indices and Self-Similar Power Transform by Gluzman, Simon

“…“Odd” factor approximants of the special form suggested by Gluzman and Yukalov (J. Math. Chem. 2006, 39, 47) are amenable to optimization by power…”
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Methods of Retrieving Large-Variable Exponents by Yukalov, Vyacheslav I., Gluzman, Simon

“…Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following…”
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Optimized Self-Similar Borel Summation by Gluzman, Simon, Yukalov, Vyacheslav I.

“…The method of Fractional Borel Summation is suggested in conjunction with self-similar factor approximants. The method used for extrapolating asymptotic…”
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Symmetry and Approximation Methods by Andrianov, Igor V., Gluzman, Simon, Yukalov, Vyacheslav I.

“…The overwhelming majority of mathematical problems, describing realistic systems and processes, contain two parts: first, the problem needs to be characterized…”
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Effective Summation and Interpolation of Series by Self-Similar Root Approximants by Gluzman, Simon, Yukalov, Vyacheslav I

“…We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory…”
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Borel Summation Can Be Controlled by Critical Indices by Gluzman, Simon

“…We consider application of the self-similarity principle in approximation theory under the conditions of asymptotic scale-invariance. For the effective…”
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Windows Washing method of multiscale analysis of the in-situ nano-composites by Rylko, Natalia, Kurtyka, Pawel, Afanasieva, Olesia, Gluzman, Simon, Olejnik, Ewa, Wojcik, Anna, Maziarz, Wojciech

“…We develop a fast and effective method of multiscale analysis of composite materials with a complex structure. The complexity of the structure results from the…”
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Effective elastic constants of hexagonal array of soft fibers by Drygaś, Piotr, Gluzman, Simon, Mityushev, Vladimir, Nawalaniec, Wojciech

“…[Display omitted] Analytical formulae for the effective elastic constants of 2D composites with soft unidirectional fibers arranged in the hexagonal array are…”
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Effective viscosity of puller-like microswimmers: a renormalization approach by Gluzman, Simon, Karpeev, Dmitry A., Berlyand, Leonid V.

“…Effective viscosity (EV) of suspensions of puller-like microswimmers (pullers), for example Chlamydamonas algae, is difficult to measure or simulate for all…”
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