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Wavelet-Based Integral Formula for Solving the Wave Equation and Its Application. / Перель, Мария Владимировна; Городницкий, Евгений Александрович.

Integral Methods in Science and Engineering: Study and Solutions of Mathematical Models. Springer Nature, 2026. стр. 315-337.

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Перель, МВ & Городницкий, ЕА 2026, Wavelet-Based Integral Formula for Solving the Wave Equation and Its Application. в Integral Methods in Science and Engineering: Study and Solutions of Mathematical Models. Springer Nature, стр. 315-337, 16th International Conference on Integral Methods in Science and Engineering, Rio de Janeiro, Бразилия, 5/08/24. https://doi.org/10.1007/978-3-032-04458-7_21

APA

Перель, М. В., & Городницкий, Е. А. (2026). Wavelet-Based Integral Formula for Solving the Wave Equation and Its Application. в Integral Methods in Science and Engineering: Study and Solutions of Mathematical Models (стр. 315-337). Springer Nature. https://doi.org/10.1007/978-3-032-04458-7_21

Vancouver

Перель МВ, Городницкий ЕА. Wavelet-Based Integral Formula for Solving the Wave Equation and Its Application. в Integral Methods in Science and Engineering: Study and Solutions of Mathematical Models. Springer Nature. 2026. стр. 315-337 https://doi.org/10.1007/978-3-032-04458-7_21

Author

Перель, Мария Владимировна ; Городницкий, Евгений Александрович. / Wavelet-Based Integral Formula for Solving the Wave Equation and Its Application. Integral Methods in Science and Engineering: Study and Solutions of Mathematical Models. Springer Nature, 2026. стр. 315-337

BibTeX

@inproceedings{66cae16854954e898abe1947e5ffa033,
title = "Wavelet-Based Integral Formula for Solving the Wave Equation and Its Application",
abstract = "A representation of the solution of the initial-boundary value problem for the wave equation in a half-plane is given as an integral superposition of parameter-dependent packets (localized solutions). The parameters of each packet have the meaning of a coordinate on the boundary from which the packet is emitted, the direction in which it is emitted, the time of its emission, and its characteristic frequency. The excitation coefficient of an individual packet is a wavelet transform of the boundary data, which depends on the parameters and processes the boundary data. The resulting representation is applied to seismic migration.",
author = "Перель, {Мария Владимировна} and Городницкий, {Евгений Александрович}",
year = "2026",
month = may,
day = "1",
doi = "10.1007/978-3-032-04458-7_21",
language = "English",
isbn = "978-3-032-04457-0",
pages = "315--337",
booktitle = "Integral Methods in Science and Engineering",
publisher = "Springer Nature",
address = "Germany",
note = "16th International Conference on Integral Methods in Science and Engineering, IMSE 2024 ; Conference date: 05-08-2024 Through 09-08-2024",

}

RIS

TY - GEN

T1 - Wavelet-Based Integral Formula for Solving the Wave Equation and Its Application

AU - Перель, Мария Владимировна

AU - Городницкий, Евгений Александрович

PY - 2026/5/1

Y1 - 2026/5/1

N2 - A representation of the solution of the initial-boundary value problem for the wave equation in a half-plane is given as an integral superposition of parameter-dependent packets (localized solutions). The parameters of each packet have the meaning of a coordinate on the boundary from which the packet is emitted, the direction in which it is emitted, the time of its emission, and its characteristic frequency. The excitation coefficient of an individual packet is a wavelet transform of the boundary data, which depends on the parameters and processes the boundary data. The resulting representation is applied to seismic migration.

AB - A representation of the solution of the initial-boundary value problem for the wave equation in a half-plane is given as an integral superposition of parameter-dependent packets (localized solutions). The parameters of each packet have the meaning of a coordinate on the boundary from which the packet is emitted, the direction in which it is emitted, the time of its emission, and its characteristic frequency. The excitation coefficient of an individual packet is a wavelet transform of the boundary data, which depends on the parameters and processes the boundary data. The resulting representation is applied to seismic migration.

UR - https://link.springer.com/chapter/10.1007/978-3-032-04458-7_21

UR - https://www.mendeley.com/catalogue/58018970-9f8e-3491-a375-523b708570bf/

U2 - 10.1007/978-3-032-04458-7_21

DO - 10.1007/978-3-032-04458-7_21

M3 - Conference contribution

SN - 978-3-032-04457-0

SP - 315

EP - 337

BT - Integral Methods in Science and Engineering

PB - Springer Nature

T2 - 16th International Conference on Integral Methods in Science and Engineering

Y2 - 5 August 2024 through 9 August 2024

ER -

ID: 154885741