2 papers
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…
math.NA2021
Positivity-Preserving Lax-Wendroff Discontinuous Galerkin Schemes for Quadrature-Based Moment-Closure Approximations of Kinetic Models
Erica R. Johnson, James A. Rossmanith, Christine Vaughan
The quadrature-based method of moments (QMOM) offers a promising class of approximation techniques for reducing kinetic equations to fluid equations that are valid beyond thermodyn…