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• W4200551237 abstract "• An method of self-similar sequence transformations is shown to be regular. • The method is used for the summation of asymptotic expansions. • The calculated critical exponents are in good agreement with other summation methods. • The advantage of the method is its simplicity. Self-similar sequence transformation is an original type of nonlinear sequence transformations allowing for defining effective limits of asymptotic sequences. The method of self-similar factor transformations is shown to be regular. This method is applied for calculating the critical exponents of the O ( N ) -symmetric φ 4 theory in three dimensions by summing asymptotic ε expansions. It is shown that this method is straightforward and essentially simpler than other summation techniques involving complicated numerical calculations, while enjoying comparable accuracy." @default.
• W4200551237 created "2021-12-31" @default.
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• W4200551237 date "2022-02-01" @default.
• W4200551237 modified "2023-09-26" @default.
• W4200551237 title "Self-similar sequence transformation for critical exponents" @default.
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• W4200551237 doi "https://doi.org/10.1016/j.physleta.2021.127899" @default.
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