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math.NA2026
A Tensor-Train Discontinuous Galerkin Method for the Vlasov-Maxwell System
Rujeko Chinomona, Dibyendu Adak, William J. Barham +4
We present a tensor-train discontinuous Galerkin (TT-DG) formulation for the Vlasov--Maxwell system that combines a modal DG discretization with low-rank tensor representations of…
math.NA2024
A mimetic discretization of Westervelt's equation
William Barham, Philip J. Morrison
A broad class of nonlinear acoustic wave models possess a Hamiltonian structure in their dissipation-free limit and a gradient flow structure for their dissipative dynamics. This s…