High-precision numerical integration of equations in dynamics

Standard

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. ed. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. American Institute of Physics, 2018. 080005 (AIP Conference Proceedings; Vol. 1959).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Alesova, IM , Babadzanjanz, LK , Pototskaya, IY , Pupysheva, YY & Saakyan, AT 2018, High-precision numerical integration of equations in dynamics. in EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (eds), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics., 080005, AIP Conference Proceedings, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics: 8th Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034722

APA

Alesova, I. M., Babadzanjanz, L. K., Pototskaya, I. Y., Pupysheva, Y. Y., & Saakyan, A. T. (2018). High-precision numerical integration of equations in dynamics. In E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Eds.), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics [080005] (AIP Conference Proceedings; Vol. 1959). American Institute of Physics. https://doi.org/10.1063/1.5034722

Vancouver

Alesova IM , Babadzanjanz LK , Pototskaya IY , Pupysheva YY , Saakyan AT. High-precision numerical integration of equations in dynamics. In Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, editors, 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. American Institute of Physics. 2018. 080005. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034722

Author

Alesova, I. M. ; Babadzanjanz, L. K. ; Pototskaya, I. Yu ; Pupysheva, Yu Yu ; Saakyan, A. T. / High-precision numerical integration of equations in dynamics. 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. editor / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{ecbf4662be4544968beb726093208813,

title = "High-precision numerical integration of equations in dynamics",

abstract = "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.",

author = "Alesova, {I. M.} and Babadzanjanz, {L. K.} and Pototskaya, {I. Yu} and Pupysheva, {Yu Yu} and Saakyan, {A. T.}",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s). Copyright: Copyright 2018 Elsevier B.V., All rights reserved.; International Scientific Conference on Mechanics: 8th Polyakhov's Reading ; Conference date: 29-01-2018 Through 02-02-2018",

year = "2018",

month = may,

day = "2",

doi = "10.1063/1.5034722",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

editor = "Kustova, {Elena V.} and Leonov, {Gennady A.} and Yushkov, {Mikhail P.} and Morosov, {Nikita F.} and Mekhonoshina, {Mariia A.}",

booktitle = "8th Polyakhov's Reading",

address = "United States",

}

RIS

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.

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