Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 7, Pages 1183–1195
DOI: https://doi.org/10.31857/S0044466924070063 (Mi zvmmf11786) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Ordinary differential equations

Application of universal fast trigonometric interpolation and extrapolation for determining the launch point coordinates of a flight vehicle

A. D. Chernyshova, O. Yu. Nikiforovaa, V. V. Goryainovb, I. G. Rukina

a Voronezh State University of Engineering Technologies, 394000, Voronezh, Russia
b Voronezh State Technical University, 394006, Voronezh, Russia
Full-text PDF Citations (1)
DOI: https://doi.org/10.31857/S0044466924070063
Abstract: The foundations of fast universal trigonometric interpolation for nonperiodic functions used to obtain high-accuracy approximate solutions are described. High-accuracy formulas are derived for computing the launch point coordinates of a flight vehicle by applying universal fast trigonometric interpolation combined with extrapolation at the endpoints of a given interval. Numerical experiments show that, after launching the first vehicle, the launch point coordinates can be determined in 7 s with accuracy of 10$^{-17}$ m.
Received: 30.10.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 7, Pages 1461–1471
DOI: https://doi.org/10.1134/S0965542524700702
Bibliographic databases:
Document Type: Article
UDC: 519.652+517.927.4
Language: Russian
Citation: A. D. Chernyshov, O. Yu. Nikiforova, V. V. Goryainov, I. G. Rukin, “Application of universal fast trigonometric interpolation and extrapolation for determining the launch point coordinates of a flight vehicle”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1183–1195; Comput. Math. Math. Phys., 64:7 (2024), 1461–1471
Citation in format AMSBIB
\Bibitem{CheNikGor24}
\by A.~D.~Chernyshov, O.~Yu.~Nikiforova, V.~V.~Goryainov, I.~G.~Rukin
\paper Application of universal fast trigonometric interpolation and extrapolation for determining the launch point coordinates of a flight vehicle
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 7
\pages 1183--1195
\mathnet{http://mi.mathnet.ru/zvmmf11786}
\crossref{https://doi.org/10.31857/S0044466924070063}
\elib{https://elibrary.ru/item.asp?id=75206870}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 7
\pages 1461--1471
\crossref{https://doi.org/10.1134/S0965542524700702}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11786
  • https://www.mathnet.ru/eng/zvmmf/v64/i7/p1183
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025