The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations. - Oleksandr Koshkarov; Gianmarco Manzini; Gian Luca Delzanno; Cecilia Pagliantini; Vadim Roytershteyn (Comput. Phys. Commun., 2021)

Fast nonlinear iterative solver for an implicit, energy-conserving, asymptotic-preserving charged-particle orbit integrator. - Oleksandr Koshkarov; Luis Chacón; Guangye Chen; Lee F. Ricketson (J. Comput. Phys., 2022)

Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations. - Cecilia Pagliantini; Gianmarco Manzini; Oleksandr Koshkarov; Gian Luca Delzanno; Vadim Roytershteyn (Comput. Phys. Commun., 2023)

Anti-symmetric and positivity preserving formulation of a spectral method for Vlasov-Poisson equations. - Opal Issan; Oleksandr Koshkarov; Federico D. Halpern; Boris Kramer; Gian Luca Delzanno (J. Comput. Phys., 2024)

A fully implicit, asymptotic-preserving, semi-Lagrangian algorithm for the time dependent anisotropic heat transport equation. - Oleksandr Koshkarov; Luis Chacón (J. Comput. Phys., 2024)

Conservative closures of the Vlasov-Poisson equations based on symmetrically weighted Hermite spectral expansion. - Opal Issan; Oleksandr Koshkarov; Federico D. Halpern; Boris Kramer; Gian Luca Delzanno (J. Comput. Phys., 2025)