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Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model. / Penenko, Alexey V.; Mukatova, Zhadyra S.; Salimova, Akzhan B.

In: International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 22, No. 5, 01.08.2021, p. 581-592.

Research output: Contribution to journal › Article › peer-review

Harvard

Penenko, AV, Mukatova, ZS & Salimova, AB 2021, 'Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model', International Journal of Nonlinear Sciences and Numerical Simulation, vol. 22, no. 5, pp. 581-592. https://doi.org/10.1515/ijnsns-2019-0088

APA

Penenko, A. V., Mukatova, Z. S., & Salimova, A. B. (2021). Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model. International Journal of Nonlinear Sciences and Numerical Simulation, 22(5), 581-592. https://doi.org/10.1515/ijnsns-2019-0088

Vancouver

Penenko AV, Mukatova ZS, Salimova AB. Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model. International Journal of Nonlinear Sciences and Numerical Simulation. 2021 Aug 1;22(5):581-592. Epub 2020 Sept 29. doi: 10.1515/ijnsns-2019-0088

Author

Penenko, Alexey V. ; Mukatova, Zhadyra S. ; Salimova, Akzhan B. / Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model. In: International Journal of Nonlinear Sciences and Numerical Simulation. 2021 ; Vol. 22, No. 5. pp. 581-592.

BibTeX

@article{b6f5f4a211eb45ddab1669d9d72cf049,
title = "Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model",
abstract = "A numerical algorithm for the solution of an inverse coefficient problem for nonstationary, nonlinear production-destruction type model is proposed and tested on an example of the Lorenz'63 system. With an ensemble of adjoint problem solutions, the inverse problem is transformed into a quasi-linear matrix problem and solved with Newton-type algorithm. Two different ways of the adjoint ensemble construction are compared. In the first one, a trigonometric basis is used. In the second one in situ measurements are taken into account. Local convergence properties of the algorithm are studied numerically to find out when the use of more data can lead to the degradation of the reconstruction results. ",
keywords = "adjoint equation, inverse coefficient problem, local convergence, Lorenz system, production-destruction model, sensitivity operator",
author = "Penenko, {Alexey V.} and Mukatova, {Zhadyra S.} and Salimova, {Akzhan B.}",
year = "2021",
month = aug,
day = "1",
doi = "10.1515/ijnsns-2019-0088",
language = "English",
volume = "22",
pages = "581--592",
journal = "International Journal of Nonlinear Sciences and Numerical Simulation",
issn = "1565-1339",
publisher = "Walter de Gruyter GmbH",
number = "5",

}

RIS

TY - JOUR

T1 - Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model

AU - Penenko, Alexey V.

AU - Mukatova, Zhadyra S.

AU - Salimova, Akzhan B.

PY - 2021/8/1

Y1 - 2021/8/1

N2 - A numerical algorithm for the solution of an inverse coefficient problem for nonstationary, nonlinear production-destruction type model is proposed and tested on an example of the Lorenz'63 system. With an ensemble of adjoint problem solutions, the inverse problem is transformed into a quasi-linear matrix problem and solved with Newton-type algorithm. Two different ways of the adjoint ensemble construction are compared. In the first one, a trigonometric basis is used. In the second one in situ measurements are taken into account. Local convergence properties of the algorithm are studied numerically to find out when the use of more data can lead to the degradation of the reconstruction results.

AB - A numerical algorithm for the solution of an inverse coefficient problem for nonstationary, nonlinear production-destruction type model is proposed and tested on an example of the Lorenz'63 system. With an ensemble of adjoint problem solutions, the inverse problem is transformed into a quasi-linear matrix problem and solved with Newton-type algorithm. Two different ways of the adjoint ensemble construction are compared. In the first one, a trigonometric basis is used. In the second one in situ measurements are taken into account. Local convergence properties of the algorithm are studied numerically to find out when the use of more data can lead to the degradation of the reconstruction results.

KW - adjoint equation

KW - inverse coefficient problem

KW - local convergence

KW - Lorenz system

KW - production-destruction model

KW - sensitivity operator

UR - http://www.scopus.com/inward/record.url?scp=85093501875&partnerID=8YFLogxK

U2 - 10.1515/ijnsns-2019-0088

DO - 10.1515/ijnsns-2019-0088

M3 - Article

AN - SCOPUS:85093501875

VL - 22

SP - 581

EP - 592

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

SN - 1565-1339

IS - 5

ER -

ID: 25851633