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Self-similar power transforms in extrapolation problems | | S. Gluzman
; V.I. Yukalov
; | | Date: |
5 Jun 2006 | | Journal: | J. Math. Chem. 39 (2006) 47-56 | | Subject: | Statistical Mechanics | | Abstract: | 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 power transform of the given asymptotic series, with the power of this transformation being a control function. The latter is defined by a fixed-point condition, which improves the convergence of the sequence of the resulting approximants. The method makes it possible to extrapolate the behaviour of a function, given as an expansion over a small variable, to the region of the large values of this variable. Several examples illustrate the effectiveness of the method. | | Source: | arXiv, cond-mat/0606104 | | Services: | Forum | Review | PDF | Favorites | |
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