# Self-similar extrapolation of nonlinear problems from small-variable to large-variable limit

@article{Yukalov2020SelfsimilarEO, title={Self-similar extrapolation of nonlinear problems from small-variable to large-variable limit}, author={Vyacheslav I. Yukalov and E. P. Yukalova}, journal={International Journal of Modern Physics B}, year={2020} }

Complicated physical problems are usually solved by resorting to perturbation theory leading to solutions in the form of asymptotic series in powers of small parameters. However, finite, and even large values of the parameters, are often of main physical interest. A method is described for predicting the large-variable behavior of solutions to nonlinear problems from the knowledge of only their small-variable expansions. The method is based on self-similar approximation theory resulting in self…

## One Citation

From Asymptotic Series to Self-Similar Approximants

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The review presents the development of an approach of constructing approximate solutions to complicated physics problems, starting from asymptotic series, through optimized perturbation theory, to…

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