Reddit reviews New Directions in Linear Acoustics and Vibration: Quantum Chaos, Random Matrix Theory and Complexity
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What a rabbit hole. I don't have anything specific, but if your speciality is in numerical analysis type stuff, then https://www.ljll.math.upmc.fr/bthierry/ there is a lot of good work here.
You could also go into wavefield synthesis which is a very difficult but very math intensive problem. As an example, here is one of my professors, from grad school, Phd. https://eprints.soton.ac.uk/158639/1/P2639.pdf
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and if you hate yourself, https://www.amazon.com/New-Directions-Linear-Acoustics-Vibration/dp/0521885086.