A time-frequency method for acoustic scattering with trapping
Numerical Analysis
2026-02-18 v2 Numerical Analysis
Abstract
A Fourier transform method is introduced for a class of hybrid time-frequency methods that solve the acoustic scattering problem in regimes where the solution exhibits both highly oscillatory behavior and slow decay in time. This extends the applicability of hybrid time-frequency schemes to domains with trapping regions. A fast sinc transform technique for managing highly oscillatory behavior and long time horizons is combined with a contour integration scheme that improves smoothness properties in the integrand.
Cite
@article{arxiv.2506.15165,
title = {A time-frequency method for acoustic scattering with trapping},
author = {Heather Wilber and Wietse Vaes and Abinand Gopal and Gunnar Martinsson},
journal= {arXiv preprint arXiv:2506.15165},
year = {2026}
}
Comments
18 pages, 9 figures