Taylor series method of numerical integration of the N-body problem

Standard

Taylor series method of numerical integration of the N-body problem. / Alesova, Irina M.; Babadzanjanz, Levon K.; Pototskaya, Irina Yu ; Pupysheva, Yulia Yu ; Saakyan, Artur T.

International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. ed. / Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics, 2017. 170009 (AIP Conference Proceedings; Vol. 1863).

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

Harvard

Alesova, IM , Babadzanjanz, LK , Pototskaya, IY , Pupysheva, YY & Saakyan, AT 2017, Taylor series method of numerical integration of the N-body problem. in TE Simos, TE Simos & C Tsitouras (eds), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016., 170009, AIP Conference Proceedings, vol. 1863, American Institute of Physics, International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece, 19/09/16. https://doi.org/10.1063/1.4992354

APA

Alesova, I. M., Babadzanjanz, L. K., Pototskaya, I. Y., Pupysheva, Y. Y., & Saakyan, A. T. (2017). Taylor series method of numerical integration of the N-body problem. In T. E. Simos, T. E. Simos, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 [170009] (AIP Conference Proceedings; Vol. 1863). American Institute of Physics. https://doi.org/10.1063/1.4992354

Vancouver

Alesova IM , Babadzanjanz LK , Pototskaya IY , Pupysheva YY , Saakyan AT. Taylor series method of numerical integration of the N-body problem. In Simos TE, Simos TE, Tsitouras C, editors, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. American Institute of Physics. 2017. 170009. (AIP Conference Proceedings). https://doi.org/10.1063/1.4992354

Author

Alesova, Irina M. ; Babadzanjanz, Levon K. ; Pototskaya, Irina Yu ; Pupysheva, Yulia Yu ; Saakyan, Artur T. / Taylor series method of numerical integration of the N-body problem. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. editor / Theodore E. Simos ; Theodore E. Simos ; Charalambos Tsitouras. American Institute of Physics, 2017. (AIP Conference Proceedings).

BibTeX

@inproceedings{e0e379b502ba406c8af13d093ac089ec,

title = "Taylor series method of numerical integration of the N-body problem",

abstract = "Many differential equations of Dynamics (i.e. Celestial Mechanics, Molecular Dynamics, and so on) one can reduce to polynomial form, i.e. to system of differential equations with polynomial (in unknowns) right-hand sides. First, we show how to obtain such polynomial system fifth, fourth and third degree for classical Newtonian N-body problem. After that, we present comparative data (the relative errors of the coordinates and velocities of bodies and CPU times) for numerical integration of these systems on the interval [0, T] using two different Taylor series method algorithms.",

author = "Alesova, {Irina M.} and Babadzanjanz, {Levon K.} and Pototskaya, {Irina Yu} and Pupysheva, {Yulia Yu} and Saakyan, {Artur T.}",

note = "Publisher Copyright: {\textcopyright} 2017 Author(s). Copyright: Copyright 2017 Elsevier B.V., All rights reserved.; International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",

year = "2017",

month = jul,

day = "21",

doi = "10.1063/1.4992354",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras",

booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016",

address = "United States",

url = "http://icnaam.org/",

}

RIS

TY - GEN

T1 - Taylor series method of numerical integration of the N-body problem

AU - Alesova, Irina M.

AU - Babadzanjanz, Levon K.

AU - Pototskaya, Irina Yu

AU - Pupysheva, Yulia Yu

AU - Saakyan, Artur T.

PY - 2017/7/21

Y1 - 2017/7/21

N2 - Many differential equations of Dynamics (i.e. Celestial Mechanics, Molecular Dynamics, and so on) one can reduce to polynomial form, i.e. to system of differential equations with polynomial (in unknowns) right-hand sides. First, we show how to obtain such polynomial system fifth, fourth and third degree for classical Newtonian N-body problem. After that, we present comparative data (the relative errors of the coordinates and velocities of bodies and CPU times) for numerical integration of these systems on the interval [0, T] using two different Taylor series method algorithms.

AB - Many differential equations of Dynamics (i.e. Celestial Mechanics, Molecular Dynamics, and so on) one can reduce to polynomial form, i.e. to system of differential equations with polynomial (in unknowns) right-hand sides. First, we show how to obtain such polynomial system fifth, fourth and third degree for classical Newtonian N-body problem. After that, we present comparative data (the relative errors of the coordinates and velocities of bodies and CPU times) for numerical integration of these systems on the interval [0, T] using two different Taylor series method algorithms.

UR - http://www.scopus.com/inward/record.url?scp=85026639951&partnerID=8YFLogxK

U2 - 10.1063/1.4992354

DO - 10.1063/1.4992354

M3 - Conference contribution

AN - SCOPUS:85026639951

T3 - AIP Conference Proceedings

BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics

T2 - International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016

Y2 - 19 September 2016 through 25 September 2016

ER -

ID: 73213147