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math.NA2024
Hybridizable discontinuous Galerkin methods for solving the two-fluid plasma model
Andrew Ho, Uri Shumlak
The two-fluid plasma model has a wide range of timescales which must all be numerically resolved regardless of the timescale on which plasma dynamics occurs. The answer to solving…
math.NA2023
Robust and conservative dynamical low-rank methods for the Vlasov equation via a novel macro-micro decomposition
Jack Coughlin, Jingwei Hu, Uri Shumlak
Dynamical low-rank (DLR) approximation has gained interest in recent years as a viable solution to the curse of dimensionality in the numerical solution of kinetic equations includ…