In this paper, we present a novel kinetic scheme termed the Energy Conserving Semi-
Lagrangian (ECSL) for the Vlasov-Ampère system. The novelty of the ECSL is that it retains …

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 velocity …

Energy transport in weakly collisional plasma systems is often studied with fluid models and
diagnostics. However, the applicability of fluid models is limited when collisions are weak or …

This paper concerns an energy-conserving numerical method to solve the multi-dimensional
Vlasov-Maxwell (VM) system based on the regularized moment method proposed in [7]. The …

Abstract Hamiltonian Operator Inference has been introduced in Sharma et al.(2022) to
learn structure-preserving reduced-order models (ROMs) for Hamiltonian systems. This …

Many time-dependent differential equations are equipped with invariants. Preserving such
invariants under discretization can be important, eg, to improve the qualitative and …

This paper is devoted to a-priori and a-posteriori error analysis of discontinuous Galerkin
(DG) method for the Maxwell eigenvalue problem. The discrete compactness of DG space is …

In the paper, we first develop a novel automatically energy-preserving scheme (AEPS) for
the undamped and unforced single and multi-coupled Duffing equations by recasting them …

Kinetic simulations of collisionless plasmas are computationally challenging due to phase
space mixing and filamentation, resulting in fine-scale velocity structures. This study …

This work, motivated by electric propulsion modeling needs, focuses on the enhancement of
the asymmetrically-weighed Hermite spectral method for kinetic plasma physics in an …