Decomposition of Solutions of the Wave Equation into Poincaré Wavelets

Links

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

Maria V. Perel
Evgeny A. Gorodnitskiy

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.

Translated title of the contribution	Разложение Решений Волнового Уравнения по Вейвлетам Пуанкаре
Original language	English
Title of host publication	Integral Methods in Science and Engineering
Subtitle of host publication	Analytic Treatment and Numerical Approximations
Editors	Christian Constanda, Paul Harris
Place of Publication	Birkhäuser, Cham
Publisher	Springer Nature
Pages	343-352
Number of pages	10
ISBN (Electronic)	9783030160777
ISBN (Print)	9783030160760
State	Published - 14 Sep 2019

ID: 47656885