20 citations · 20 across the 2 of their papers we have counts for
6 papers
Self-similar factor approximants for evolution equations and boundary-value problems
E. P. Yukalova, V. I. Yukalov, S. Gluzman
The method of self-similar factor approximants is shown to be very convenient for solving different evolution equations and boundary-value problems typical of physical applications…
Self-similar power transforms in extrapolation problems
S. Gluzman, V. I. Yukalov
A method is suggested allowing for the improvement of accuracy of self-similar factor and root approximants, constructed from asymptotic series. The method is based on performing a…
Extrapolation of power series by self-similar factor and root approximants
V. I. Yukalov, S. Gluzman
The problem of extrapolating the series in powers of small variables to the region of large variables is addressed. Such a problem is typical of quantum theory and statistical phys…
Towards Landslide Predictions: Two Case Studies
D. Sornette, A. Helmstetter, J. V. Andersen +3
In a previous work [Helmstetter, 2003], we have proposed a simple physical model to explain the accelerating displacements preceding some catastrophic landslides, based on a slider…
Summation of Power Series by Self-Similar Factor Approximants
V. I. Yukalov, S. Gluzman, D. Sornette
A novel method of summation for power series is developed. The method is based on the self-similar approximation theory. The trick employed is in transforming, first, a series expa…
Self-similar Approximants of the Permeability in Heterogeneous Porous Media from Moment Equation Expansions
S. Gluzman, D. Sornette
We use a mathematical technique, the self-similar functional renormalization, to construct formulas for the average conductivity that apply for large heterogeneity, based on pertur…