A time-frequency method for acoustic scattering with trapping
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866910024130887680 |
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| author | Wilber, Heather Vaes, Wietse Gopal, Abinand Martinsson, Gunnar |
| author_facet | Wilber, Heather Vaes, Wietse Gopal, Abinand Martinsson, Gunnar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A time-frequency method for acoustic scattering with trapping Wilber, Heather Vaes, Wietse Gopal, Abinand Martinsson, Gunnar Numerical Analysis 65R20, 65M80, 65F05 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. |
| title | A time-frequency method for acoustic scattering with trapping |
| topic | Numerical Analysis 65R20, 65M80, 65F05 |
| url | https://arxiv.org/abs/2506.15165 |