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Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation. / Krivovichev, Gerasim V.; Marnopolskaya, Elena S.

2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. ed. / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. 7973976.

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

Harvard

Krivovichev, GV & Marnopolskaya, ES 2017, Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation. in LN Polyakova (ed.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings., 7973976, Institute of Electrical and Electronics Engineers Inc., 2017 Constructive Nonsmooth Analysis and Related Topics, Saint-Petersburg, Russian Federation, 22/05/17. https://doi.org/10.1109/CNSA.2017.7973976

APA

Krivovichev, G. V., & Marnopolskaya, E. S. (2017). Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation. In L. N. Polyakova (Ed.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings [7973976] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7973976

Vancouver

Krivovichev GV, Marnopolskaya ES. Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation. In Polyakova LN, editor, 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. 7973976 https://doi.org/10.1109/CNSA.2017.7973976

Author

Krivovichev, Gerasim V. ; Marnopolskaya, Elena S. / Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. editor / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017.

BibTeX

@inproceedings{2802b91af8da4f8599a1b13c8ddbaf23,
title = "Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation",
abstract = "The problem of the construction of optimal finite-difference schemes for linear advection equations is considered. These equations are solved on the stage of the splitting method for the solution of kinetic equations. Construction of optimal schemes is based on the solution of the problem of minimization of dispersive and dissipative characteristics of finite-difference scheme. These characteristics are constructed as maximum functions. Constructed optimal schemes may be used in lattice Boltzmann method for modelling of fluid and gas flows.",
author = "Krivovichev, {Gerasim V.} and Marnopolskaya, {Elena S.}",
year = "2017",
month = jul,
day = "10",
doi = "10.1109/CNSA.2017.7973976",
language = "English",
editor = "Polyakova, {L. N.}",
booktitle = "2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2017 Constructive Nonsmooth Analysis and Related Topics : dedicated to the Memory of V.F. Demyanov, CNSA 2017 ; Conference date: 22-05-2017 Through 27-05-2017",
url = "http://www.mathnet.ru/php/conference.phtml?confid=968&option_lang=rus, http://www.pdmi.ras.ru/EIMI/2017/CNSA/",

}

RIS

TY - GEN

T1 - Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation

AU - Krivovichev, Gerasim V.

AU - Marnopolskaya, Elena S.

PY - 2017/7/10

Y1 - 2017/7/10

N2 - The problem of the construction of optimal finite-difference schemes for linear advection equations is considered. These equations are solved on the stage of the splitting method for the solution of kinetic equations. Construction of optimal schemes is based on the solution of the problem of minimization of dispersive and dissipative characteristics of finite-difference scheme. These characteristics are constructed as maximum functions. Constructed optimal schemes may be used in lattice Boltzmann method for modelling of fluid and gas flows.

AB - The problem of the construction of optimal finite-difference schemes for linear advection equations is considered. These equations are solved on the stage of the splitting method for the solution of kinetic equations. Construction of optimal schemes is based on the solution of the problem of minimization of dispersive and dissipative characteristics of finite-difference scheme. These characteristics are constructed as maximum functions. Constructed optimal schemes may be used in lattice Boltzmann method for modelling of fluid and gas flows.

UR - http://www.scopus.com/inward/record.url?scp=85027459558&partnerID=8YFLogxK

U2 - 10.1109/CNSA.2017.7973976

DO - 10.1109/CNSA.2017.7973976

M3 - Conference contribution

AN - SCOPUS:85027459558

BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

A2 - Polyakova, L. N.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 Constructive Nonsmooth Analysis and Related Topics

Y2 - 22 May 2017 through 27 May 2017

ER -

ID: 36412021