Standard

Stability analysis of two-step finite-difference schemes for the system of kinetic equations. / Mikheev, Sergei A.; Krivovichev, Gerasim V.

2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings. ed. / Evgeny I. Veremey. Institute of Electrical and Electronics Engineers Inc., 2014. p. 118-119 6893312 (2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings).

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

Harvard

Mikheev, SA & Krivovichev, GV 2014, Stability analysis of two-step finite-difference schemes for the system of kinetic equations. in EI Veremey (ed.), 2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings., 6893312, 2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 118-119, International Conference on Computer Technologies in Physical and Engineering Applications (ICCTPEA), Saint Petersburg, Russian Federation, 30/06/14. https://doi.org/10.1109/ICCTPEA.2014.6893312, https://doi.org/10.1109/ICCTPEA.2014.6893312

APA

Mikheev, S. A., & Krivovichev, G. V. (2014). Stability analysis of two-step finite-difference schemes for the system of kinetic equations. In E. I. Veremey (Ed.), 2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings (pp. 118-119). [6893312] (2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCTPEA.2014.6893312, https://doi.org/10.1109/ICCTPEA.2014.6893312

Vancouver

Mikheev SA, Krivovichev GV. Stability analysis of two-step finite-difference schemes for the system of kinetic equations. In Veremey EI, editor, 2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2014. p. 118-119. 6893312. (2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings). https://doi.org/10.1109/ICCTPEA.2014.6893312, https://doi.org/10.1109/ICCTPEA.2014.6893312

Author

Mikheev, Sergei A. ; Krivovichev, Gerasim V. / Stability analysis of two-step finite-difference schemes for the system of kinetic equations. 2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings. editor / Evgeny I. Veremey. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 118-119 (2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings).

BibTeX

@inproceedings{ee2582d8013d42cdbaee7e9cb538e0d4,
title = "Stability analysis of two-step finite-difference schemes for the system of kinetic equations",
abstract = "The modified two-step lattice Boltzmann scheme with central differences for the system of kinetic equations is investigated. The schemes with first-order and second-order upwind differences are proposed. Stability of these schemes is investigated using von Neumann method. The problem of stability investigation of unperturbed solution of the constructed schemes is reduced to the problem of stability analysis of the zero solution of system of difference equations with a square matrix. The spatially homogeneous stationary flows in unbounded domain are considered. Values of areas of stability domains for presented schemes are obtained. It is shown that the usage of special approximations of the convective terms in kinetic equations allows to obtain the greatest values of the areas of stability domains in parameter space.",
author = "Mikheev, {Sergei A.} and Krivovichev, {Gerasim V.}",
note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; International Conference on Computer Technologies in Physical and Engineering Applications (ICCTPEA) ; Conference date: 30-06-2014 Through 04-07-2014",
year = "2014",
doi = "10.1109/ICCTPEA.2014.6893312",
language = "English",
series = "2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "118--119",
editor = "Veremey, {Evgeny I.}",
booktitle = "2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings",
address = "United States",
url = "http://www.ivesc2014.com/",

}

RIS

TY - GEN

T1 - Stability analysis of two-step finite-difference schemes for the system of kinetic equations

AU - Mikheev, Sergei A.

AU - Krivovichev, Gerasim V.

N1 - Publisher Copyright: © 2014 IEEE.

PY - 2014

Y1 - 2014

N2 - The modified two-step lattice Boltzmann scheme with central differences for the system of kinetic equations is investigated. The schemes with first-order and second-order upwind differences are proposed. Stability of these schemes is investigated using von Neumann method. The problem of stability investigation of unperturbed solution of the constructed schemes is reduced to the problem of stability analysis of the zero solution of system of difference equations with a square matrix. The spatially homogeneous stationary flows in unbounded domain are considered. Values of areas of stability domains for presented schemes are obtained. It is shown that the usage of special approximations of the convective terms in kinetic equations allows to obtain the greatest values of the areas of stability domains in parameter space.

AB - The modified two-step lattice Boltzmann scheme with central differences for the system of kinetic equations is investigated. The schemes with first-order and second-order upwind differences are proposed. Stability of these schemes is investigated using von Neumann method. The problem of stability investigation of unperturbed solution of the constructed schemes is reduced to the problem of stability analysis of the zero solution of system of difference equations with a square matrix. The spatially homogeneous stationary flows in unbounded domain are considered. Values of areas of stability domains for presented schemes are obtained. It is shown that the usage of special approximations of the convective terms in kinetic equations allows to obtain the greatest values of the areas of stability domains in parameter space.

UR - http://www.scopus.com/inward/record.url?scp=84908682169&partnerID=8YFLogxK

U2 - 10.1109/ICCTPEA.2014.6893312

DO - 10.1109/ICCTPEA.2014.6893312

M3 - Conference contribution

T3 - 2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings

SP - 118

EP - 119

BT - 2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 - Proceedings

A2 - Veremey, Evgeny I.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Conference on Computer Technologies in Physical and Engineering Applications (ICCTPEA)

Y2 - 30 June 2014 through 4 July 2014

ER -

ID: 7020470