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About the Tikhonov Regularization Method for the Solution of Incorrect Problems. / Бурова, Ирина Герасимовна; Рябов, Виктор Михайлович.

в: WSEAS Transactions on Systems, Том 22, 28.06.2023, стр. 656-662.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Бурова, ИГ & Рябов, ВМ 2023, 'About the Tikhonov Regularization Method for the Solution of Incorrect Problems', WSEAS Transactions on Systems, Том. 22, стр. 656-662. https://doi.org/10.37394/23202.2023.22.66

APA

Бурова, И. Г., & Рябов, В. М. (2023). About the Tikhonov Regularization Method for the Solution of Incorrect Problems. WSEAS Transactions on Systems, 22, 656-662. https://doi.org/10.37394/23202.2023.22.66

Vancouver

Бурова ИГ, Рябов ВМ. About the Tikhonov Regularization Method for the Solution of Incorrect Problems. WSEAS Transactions on Systems. 2023 Июнь 28;22:656-662. https://doi.org/10.37394/23202.2023.22.66

Author

Бурова, Ирина Герасимовна ; Рябов, Виктор Михайлович. / About the Tikhonov Regularization Method for the Solution of Incorrect Problems. в: WSEAS Transactions on Systems. 2023 ; Том 22. стр. 656-662.

BibTeX

@article{ba50238c936f4154bc9af9ca2bb6b273,
title = "About the Tikhonov Regularization Method for the Solution of Incorrect Problems",
abstract = "From time to time, papers are published containing gross errors when solving integral equations of the first kind. This paper is devoted to the analysis of these errors. The paper considers Tikhonov{\textquoteright}s weak and operator regularization. To construct a solution to the integral equation, the local splines of the Lagrangian type of the second order of approximation, as well as the local splines of the Hermitian type of the fourth order of approximation of the first level, are used. The results of numerical experiments are presented.",
author = "Бурова, {Ирина Герасимовна} and Рябов, {Виктор Михайлович}",
year = "2023",
month = jun,
day = "28",
doi = "10.37394/23202.2023.22.66",
language = "English",
volume = "22",
pages = "656--662",
journal = "WSEAS Transactions on Systems",
issn = "1109-2777",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

}

RIS

TY - JOUR

T1 - About the Tikhonov Regularization Method for the Solution of Incorrect Problems

AU - Бурова, Ирина Герасимовна

AU - Рябов, Виктор Михайлович

PY - 2023/6/28

Y1 - 2023/6/28

N2 - From time to time, papers are published containing gross errors when solving integral equations of the first kind. This paper is devoted to the analysis of these errors. The paper considers Tikhonov’s weak and operator regularization. To construct a solution to the integral equation, the local splines of the Lagrangian type of the second order of approximation, as well as the local splines of the Hermitian type of the fourth order of approximation of the first level, are used. The results of numerical experiments are presented.

AB - From time to time, papers are published containing gross errors when solving integral equations of the first kind. This paper is devoted to the analysis of these errors. The paper considers Tikhonov’s weak and operator regularization. To construct a solution to the integral equation, the local splines of the Lagrangian type of the second order of approximation, as well as the local splines of the Hermitian type of the fourth order of approximation of the first level, are used. The results of numerical experiments are presented.

UR - https://www.mendeley.com/catalogue/8fd5df7a-7854-3f7e-9def-4f50cd6f8f07/

U2 - 10.37394/23202.2023.22.66

DO - 10.37394/23202.2023.22.66

M3 - Article

VL - 22

SP - 656

EP - 662

JO - WSEAS Transactions on Systems

JF - WSEAS Transactions on Systems

SN - 1109-2777

ER -

ID: 106810188