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math.NA2025
Micro-macro kinetic flux-vector splitting schemes for the multidimensional Boltzmann-ES-BGK equation
James A. Rossmanith, Preeti Sar
The kinetic Boltzmann equation models gas dynamics over a wide range of spatial and temporal scales. Simplified versions of the full Boltzmann collision operator, such as the class…
math.NA2025
A novel splitting method for Vlasov-Ampere
James A. Rossmanith, Christine Vaughan
Vlasov equations model the dynamics of plasma in the collisionless regime. A standard approach for numerically solving the Vlasov equation is to operator split the spatial and velo…