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Error estimates for numerical integration of ODEs in the minimax formulation. / Babadzanjanz, Levon K.; Pototskaya, Irina Yu; Pupysheva, Yulia Yu.

2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. ред. / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. 7973932 (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаяРецензирование

Harvard

Babadzanjanz, LK, Pototskaya, IY & Pupysheva, YY 2017, Error estimates for numerical integration of ODEs in the minimax formulation. в LN Polyakova (ред.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings., 7973932, 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., Международная конференция «Конструктивный негладкий анализ и смежные вопросы», Saint-Petersburg, Российская Федерация, 22/05/17. https://doi.org/10.1109/CNSA.2017.7973932

APA

Babadzanjanz, L. K., Pototskaya, I. Y., & Pupysheva, Y. Y. (2017). Error estimates for numerical integration of ODEs in the minimax formulation. в L. N. Polyakova (Ред.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings [7973932] (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.. https://doi.org/10.1109/CNSA.2017.7973932

Vancouver

Babadzanjanz LK, Pototskaya IY, Pupysheva YY. Error estimates for numerical integration of ODEs in the minimax formulation. в Polyakova LN, Редактор, 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. 7973932. (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings). https://doi.org/10.1109/CNSA.2017.7973932

Author

Babadzanjanz, Levon K. ; Pototskaya, Irina Yu ; Pupysheva, Yulia Yu. / Error estimates for numerical integration of ODEs in the minimax formulation. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Редактор / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings).

BibTeX

@inproceedings{724cbe158d0e4763a49a6990b9c8eae4,
title = "Error estimates for numerical integration of ODEs in the minimax formulation",
abstract = "Many of ordinary differential equations one can reduce to the form of a polynomial differential system. One of the best methods for the numerical solution of such systems is the method of Taylor series. In this work we consider the Cauchy problem for the polynomial ODE system, and then - a theorem about the accuracy of its solutions by this method. In connection with this theorem, a special minimax problem is formulated. Using this problem one can improve significantly the estimates of the theorem. The solutions of the corresponding minimax problems for a number of ODE systems are given.",
author = "Babadzanjanz, {Levon K.} and Pototskaya, {Irina Yu} and Pupysheva, {Yulia Yu}",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.; 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",
year = "2017",
month = jul,
day = "10",
doi = "10.1109/CNSA.2017.7973932",
language = "English",
series = "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.",
editor = "Polyakova, {L. N.}",
booktitle = "2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings",
address = "United States",
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 - Error estimates for numerical integration of ODEs in the minimax formulation

AU - Babadzanjanz, Levon K.

AU - Pototskaya, Irina Yu

AU - Pupysheva, Yulia Yu

N1 - Publisher Copyright: © 2017 IEEE. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2017/7/10

Y1 - 2017/7/10

N2 - Many of ordinary differential equations one can reduce to the form of a polynomial differential system. One of the best methods for the numerical solution of such systems is the method of Taylor series. In this work we consider the Cauchy problem for the polynomial ODE system, and then - a theorem about the accuracy of its solutions by this method. In connection with this theorem, a special minimax problem is formulated. Using this problem one can improve significantly the estimates of the theorem. The solutions of the corresponding minimax problems for a number of ODE systems are given.

AB - Many of ordinary differential equations one can reduce to the form of a polynomial differential system. One of the best methods for the numerical solution of such systems is the method of Taylor series. In this work we consider the Cauchy problem for the polynomial ODE system, and then - a theorem about the accuracy of its solutions by this method. In connection with this theorem, a special minimax problem is formulated. Using this problem one can improve significantly the estimates of the theorem. The solutions of the corresponding minimax problems for a number of ODE systems are given.

UR - http://www.scopus.com/inward/record.url?scp=85027450465&partnerID=8YFLogxK

U2 - 10.1109/CNSA.2017.7973932

DO - 10.1109/CNSA.2017.7973932

M3 - Conference contribution

AN - SCOPUS:85027450465

T3 - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

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: 73213248