Decomposition of Solutions of the Wave Equation into Poincaré Wavelets

Maria V.  Perel; Evgeny A.  Gorodnitskiy

Decomposition of Solutions of the Wave Equation into Poincaré Wavelets

Переведенное название: Разложение Решений Волнового Уравнения по Вейвлетам Пуанкаре

Maria V. Perel, Evgeny A. Gorodnitskiy

Кафедра высшей математики и математической физики

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › рецензирование

Аннотация

An integral representation of solutions of the wave equation in terms of elementary solutions with known properties is constructed. This representation is found by affine Poincaré continuous wavelet analysis. The efficiency of the formulas derived in this way for an applied problem is also discussed.

Переведенное название	Разложение Решений Волнового Уравнения по Вейвлетам Пуанкаре
Язык оригинала	английский
Название основной публикации	Integral Methods in Science and Engineering
Подзаголовок основной публикации	Analytic Treatment and Numerical Approximations
Редакторы	Christian Constanda, Paul Harris
Место публикации	Birkhäuser, Cham
Издатель	Springer Nature
Страницы	343-352
Число страниц	10
ISBN (электронное издание)	9783030160777
ISBN (печатное издание)	9783030160760
Состояние	Опубликовано - 14 сен 2019

Доступ к документу

https://link.springer.com/chapter/10.1007/978-3-030-16077-7_27

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abstract = "An integral representation of solutions of the wave equation in terms of elementary solutions with known properties is constructed. This representation is found by affine Poincar{\'e} continuous wavelet analysis. The efficiency of the formulas derived in this way for an applied problem is also discussed.",

author = "Perel, {Maria V.} and Gorodnitskiy, {Evgeny A.}",

note = "Perel M.V., Gorodnitskiy E.A. (2019) Decomposition of Solutions of the Wave Equation into Poincar{\'e} Wavelets. In: Constanda C., Harris P. (eds) Integral Methods in Science and Engineering. Birkh{\"a}user, Cham",

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Decomposition of Solutions of the Wave Equation into Poincaré Wavelets. / Perel, Maria V. ; Gorodnitskiy, Evgeny A. .

Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations. ред. / Christian Constanda; Paul Harris. Birkhäuser, Cham : Springer Nature, 2019. стр. 343-352.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › рецензирование

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