Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
High-precision numerical integration of equations in dynamics. / Alesova, I. M.; Babadzanjanz, L. K.; Pototskaya, I. Yu; Pupysheva, Yu Yu; Saakyan, A. T.
8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. ред. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. American Institute of Physics, 2018. 080005 (AIP Conference Proceedings; Том 1959).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
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TY - GEN
T1 - High-precision numerical integration of equations in dynamics
AU - Alesova, I. M.
AU - Babadzanjanz, L. K.
AU - Pototskaya, I. Yu
AU - Pupysheva, Yu Yu
AU - Saakyan, A. T.
N1 - Publisher Copyright: © 2018 Author(s). Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/5/2
Y1 - 2018/5/2
N2 - An important requirement for the process of solving differential equations in Dynamics, such as the equations of the motion of celestial bodies and, in particular, the motion of cosmic robotic systems is high accuracy at large time intervals. One of effective tools for obtaining such solutions is the Taylor series method. In this connection, we note that it is very advantageous to reduce the given equations of Dynamics to systems with polynomial (in unknowns) right-hand sides. This allows us to obtain effective algorithms for finding the Taylor coefficients, a priori error estimates at each step of integration, and an optimal choice of the order of the approximation used. In the paper, these questions are discussed and appropriate algorithms are considered.
AB - An important requirement for the process of solving differential equations in Dynamics, such as the equations of the motion of celestial bodies and, in particular, the motion of cosmic robotic systems is high accuracy at large time intervals. One of effective tools for obtaining such solutions is the Taylor series method. In this connection, we note that it is very advantageous to reduce the given equations of Dynamics to systems with polynomial (in unknowns) right-hand sides. This allows us to obtain effective algorithms for finding the Taylor coefficients, a priori error estimates at each step of integration, and an optimal choice of the order of the approximation used. In the paper, these questions are discussed and appropriate algorithms are considered.
UR - http://www.scopus.com/inward/record.url?scp=85047219970&partnerID=8YFLogxK
U2 - 10.1063/1.5034722
DO - 10.1063/1.5034722
M3 - Conference contribution
AN - SCOPUS:85047219970
T3 - AIP Conference Proceedings
BT - 8th Polyakhov's Reading
A2 - Kustova, Elena V.
A2 - Leonov, Gennady A.
A2 - Yushkov, Mikhail P.
A2 - Morosov, Nikita F.
A2 - Mekhonoshina, Mariia A.
PB - American Institute of Physics
T2 - International Scientific Conference on Mechanics: 8th Polyakhov's Reading
Y2 - 29 January 2018 through 2 February 2018
ER -
ID: 73213038