3 papers
physics.plasm-ph2025
Conservative projection-based data-driven model order reduction of a fluid-kinetic spectral solver
Opal Issan, Oleksandr Koshkarov, Federico D. Halpern +2
Kinetic simulations are computationally intensive due to six-dimensional phase space discretization. Many kinetic spectral solvers use the asymmetrically weighted Hermite expansion…
physics.comp-ph2024
Conservative Closures of the Vlasov-Poisson Equations Based on Symmetrically Weighted Hermite Spectral Expansion
Opal Issan, Oleksandr Koshkarov, Federico D. Halpern +2
We derive conservative closures of the Vlasov-Poisson equations discretized in velocity via the symmetrically weighted Hermite spectral expansion. The short note analyzes the conse…
math.NA2024
Anti-symmetric and Positivity Preserving Formulation of a Spectral Method for Vlasov-Poisson Equations
Opal Issan, Oleksandr Koshkarov, Federico D. Halpern +2
We analyze the anti-symmetric properties of a spectral discretization for the one-dimensional Vlasov-Poisson equations. The discretization is based on a spectral expansion in veloc…