Standard

Neural networks in solving differential equations. / Гориховский, Вячеслав Игоревич; Евдокимова, Татьяна Олеговна; Полетанский, Виктор Александрович.

In: Journal of Physics: Conference Series, Vol. 2308, No. 1, 012008, 01.07.2022.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Гориховский, ВИ, Евдокимова, ТО & Полетанский, ВА 2022, 'Neural networks in solving differential equations', Journal of Physics: Conference Series, vol. 2308, no. 1, 012008. https://doi.org/10.1088/1742-6596/2308/1/012008

APA

Гориховский, В. И., Евдокимова, Т. О., & Полетанский, В. А. (2022). Neural networks in solving differential equations. Journal of Physics: Conference Series, 2308(1), [012008]. https://doi.org/10.1088/1742-6596/2308/1/012008

Vancouver

Гориховский ВИ, Евдокимова ТО, Полетанский ВА. Neural networks in solving differential equations. Journal of Physics: Conference Series. 2022 Jul 1;2308(1). 012008. https://doi.org/10.1088/1742-6596/2308/1/012008

Author

Гориховский, Вячеслав Игоревич ; Евдокимова, Татьяна Олеговна ; Полетанский, Виктор Александрович. / Neural networks in solving differential equations. In: Journal of Physics: Conference Series. 2022 ; Vol. 2308, No. 1.

BibTeX

@article{78fd8596791647818b5e98d26df009f5,
title = "Neural networks in solving differential equations",
abstract = "The paper considers the possibility of using neural networks in solving differential equations and systems. The paper investigates the influence of various basic neural network topologies, various optimizers, activation functions, fast access links and some heuristic methods on the quality of neural network training and the accuracy of solving the differential equation.",
author = "Гориховский, {Вячеслав Игоревич} and Евдокимова, {Татьяна Олеговна} and Полетанский, {Виктор Александрович}",
note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; The Twenty-second International Conference on Computational Mechanics and Modern Applied Software Systems , CMMASS 2021 ; Conference date: 04-09-2021 Through 13-09-2021",
year = "2022",
month = jul,
day = "1",
doi = "10.1088/1742-6596/2308/1/012008",
language = "English",
volume = "2308",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Neural networks in solving differential equations

AU - Гориховский, Вячеслав Игоревич

AU - Евдокимова, Татьяна Олеговна

AU - Полетанский, Виктор Александрович

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2022/7/1

Y1 - 2022/7/1

N2 - The paper considers the possibility of using neural networks in solving differential equations and systems. The paper investigates the influence of various basic neural network topologies, various optimizers, activation functions, fast access links and some heuristic methods on the quality of neural network training and the accuracy of solving the differential equation.

AB - The paper considers the possibility of using neural networks in solving differential equations and systems. The paper investigates the influence of various basic neural network topologies, various optimizers, activation functions, fast access links and some heuristic methods on the quality of neural network training and the accuracy of solving the differential equation.

UR - http://www.scopus.com/inward/record.url?scp=85135233261&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/2308/1/012008

DO - 10.1088/1742-6596/2308/1/012008

M3 - Conference article

VL - 2308

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012008

T2 - The Twenty-second International Conference on Computational Mechanics and Modern Applied Software Systems

Y2 - 4 September 2021 through 13 September 2021

ER -

ID: 88434527