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On the Connections between Hyperbolic and Parabolic Inverse One-Dimensional Discrete Problems. / Михайлов, Александр Сергеевич; Михайлов, Виктор Сергеевич.

In: Journal of Applied and Industrial Mathematics, Vol. 18, No. 3, 01.06.2024, p. 503–515.

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

Harvard

Михайлов, АС & Михайлов, ВС 2024, 'On the Connections between Hyperbolic and Parabolic Inverse One-Dimensional Discrete Problems', Journal of Applied and Industrial Mathematics, vol. 18, no. 3, pp. 503–515. https://doi.org/10.1134/S1990478924030116

APA

Михайлов, А. С., & Михайлов, В. С. (2024). On the Connections between Hyperbolic and Parabolic Inverse One-Dimensional Discrete Problems. Journal of Applied and Industrial Mathematics, 18(3), 503–515. https://doi.org/10.1134/S1990478924030116

Vancouver

Михайлов АС, Михайлов ВС. On the Connections between Hyperbolic and Parabolic Inverse One-Dimensional Discrete Problems. Journal of Applied and Industrial Mathematics. 2024 Jun 1;18(3):503–515. https://doi.org/10.1134/S1990478924030116

Author

Михайлов, Александр Сергеевич ; Михайлов, Виктор Сергеевич. / On the Connections between Hyperbolic and Parabolic Inverse One-Dimensional Discrete Problems. In: Journal of Applied and Industrial Mathematics. 2024 ; Vol. 18, No. 3. pp. 503–515.

BibTeX

@article{8c9765b6b68f407ca9f78c8e75de415c,
title = "On the Connections between Hyperbolic and Parabolic Inverse One-Dimensional Discrete Problems",
abstract = "Abstract: The boundary control method is applied to the solution of one-dimensional discreteinverse problems. The discrete counterparts of the operators used in the method (the control,response, and connecting operators) are defined. The relations between the operatorscorresponding to the discrete wave equation and the discrete heat equation are established.",
keywords = "boundary control method, connection between data of inverse problems, discrete dynamical system",
author = "Михайлов, {Александр Сергеевич} and Михайлов, {Виктор Сергеевич}",
year = "2024",
month = jun,
day = "1",
doi = "10.1134/S1990478924030116",
language = "English",
volume = "18",
pages = "503–515",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "3",

}

RIS

TY - JOUR

T1 - On the Connections between Hyperbolic and Parabolic Inverse One-Dimensional Discrete Problems

AU - Михайлов, Александр Сергеевич

AU - Михайлов, Виктор Сергеевич

PY - 2024/6/1

Y1 - 2024/6/1

N2 - Abstract: The boundary control method is applied to the solution of one-dimensional discreteinverse problems. The discrete counterparts of the operators used in the method (the control,response, and connecting operators) are defined. The relations between the operatorscorresponding to the discrete wave equation and the discrete heat equation are established.

AB - Abstract: The boundary control method is applied to the solution of one-dimensional discreteinverse problems. The discrete counterparts of the operators used in the method (the control,response, and connecting operators) are defined. The relations between the operatorscorresponding to the discrete wave equation and the discrete heat equation are established.

KW - boundary control method

KW - connection between data of inverse problems

KW - discrete dynamical system

UR - https://www.mendeley.com/catalogue/16ee7e7d-45b1-31cd-ad44-26fe5239e70e/

U2 - 10.1134/S1990478924030116

DO - 10.1134/S1990478924030116

M3 - Article

VL - 18

SP - 503

EP - 515

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 126518731