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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…
math.NA2022
Efficient dynamical low-rank approximation for the Vlasov-Ampère-Fokker-Planck system
Jack Coughlin, Jingwei Hu
Kinetic equations are difficult to solve numerically due to their high dimensionality. A promising approach for reducing computational cost is the dynamical low-rank algorithm, whi…