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Waves: Advanced Numerical Methods and Applications

Reza Abedi, University of Tennessee
Robert Haber, University of Illinois Urbana-Champaign
Tamas Horvath, Oakland University
Alireza Amirkhizi, University of Massachusetts Lowell
This minisymposium provides a forum for presentation and discussion of recent advances in numerical methods for wave problems and related state-of-the-art applications in science and engineering. Numerical methods of interest include, but are not limited to, ADER-DG, spacetime DG (Tent Pitching), Trefftz DG, implicit shock tracking, space-time parallel multigrid, adaptive mulitresolution (MR), IMEX, pseudo-time, local time-stepping, and fast boundary elements as well as frequency-domain counterparts. Presentations describing approximate representations of boundary conditions, homogenization of heterogeneous and dispersive media, stochastic modeling, and novel solution schemes and software architectures for exascale HPC systems are also welcome. Applications of interest include water waves and coastal modeling, dynamics of solids, dynamic fracture, earthquake simulation, forward and inverse scattering, waves in random or dispersive media, traumatic brain injury, photonics and metamaterials, electromagnetics, acoustics, hyperbolic heat conduction, compressible gas dynamics, medical and seismic imaging, and multiphysics wave problems.