Autors: Sheiretsky, K. G., Antonov, S. I.
Title: Evaluation of the Asymptotic Expansion of a Numerical Function
Keywords: Asymptotic methods, Nonlinear function, Numerical function

Abstract: An asymptotic expansion to second order of a numerical function is made dependent on a small in modulus parameter compared to unity. A formula for evaluating the residual term is derived. The method can be widely used to evaluate the accuracy of solutions of nonlinear algebraic equations, and also in the study of derived asymptotic series of functions with a time-dependent argument.

References

  1. Nayfeh, A., Perturbation methods, John Wiley&Sons, Inc., ISBN:9780471399179, Ney York, 2000.
  2. Bogoliubov N., Mitropolsky A., Asymptotic Methods in the Theory of Non-Linear Oscillations. New York, Gordon and Breach, 1961.
  3. Andronov.,. Vit, S.E.Haikin. Theory of oscillations, Fizmatgiz, ?., 1981.
  4. Goursat E., Course In Mathematical Analysis Vol I Translated by O. Dunkel and E. R. Hedrick (Ginn and Company, 1904).
  5. Banach, S. Rachunek Rozniczkowy i Calkowy, Wydawnictwo Zakladu Narodowego im. Ossolinskich, 1929.
  6. Sheiretsky, K.G., Antonov, S., Formal method for finding asymptotic approximations, 56th International Scientific Conference on Information, Communication and Energy Systems and Technologies, ICEST 2021, Sozopol, Bulgaria, IEEE, ISBN: 978-166542887-3, DOI: 10.1109/ICEST52640.2021.9483465, 2021.

Issue

2024 59th International Scientific Conference on Information, Communication and Energy Systems and Technologies, ICEST 2024 - Proceedings, 2024, , https://doi.org/10.1109/ICEST62335.2024.10639682

Вид: публикация в международен форум, публикация в реферирано издание, индексирана в Scopus и Web of Science