A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation. - Lukas Einkemmer; Ilon Joseph (J. Comput. Phys., 2021)

Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2D Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics. - Milan Holec; Ben Zhu; Ilon Joseph; Christopher J. Vogl; Ben S. Southworth; Alejandro Campos; Andris M. Dimits; Will E. Pazner (CoRR, 2022)

Exponential integrators for non-linear diffusion. - Valentin Dallerit; Mayya Tokman; Ilon Joseph (CoRR, 2022)

Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations. - Max D. Porter; Ilon Joseph (Quantum, 2022)

Mesh refinement for anisotropic diffusion in magnetized plasmas. - Christopher J. Vogl; Ilon Joseph; Milan Holec (Comput. Math. Appl., 2023)

Exploring exponential time integration for strongly magnetized charged particle motion. - Tri P. Nguyen; Ilon Joseph; Mayya Tokman (Comput. Phys. Commun., 2024)

Nyström Type Exponential Integrators for Strongly Magnetized Charged Particle Dynamics. - Tri P. Nguyen; Ilon Joseph; Mayya Tokman (CoRR, 2025)