3 papers
math.NA2026
A Structure-Preserving Penalization Method for the Single-species Rosenbluth-Fokker-Planck Equation
Hamad El Kahza, Luis Chacón, William Taitano +2
The Rosenbluth-Fokker-Planck (RFP) equation describes Coulomb collisional dynamics within and across species in plasmas. It belongs to the broader class of anisotropic-diffusion-ad…
physics.plasm-ph2025
A Multiscale Eulerian Vlasov-Rosenbluth-Fokker-Planck Algorithm for Thermonuclear Burning Plasmas
Benjamin L. Reichelt, William T. Taitano, Brett D. Keenan +4
Accurate treatment of energetic fusion byproducts in laboratory plasmas often requires a kinetic description, owing to their large birth kinetic energy and long mean-free-paths com…
math.NA2024
Krylov-based Adaptive-Rank Implicit Time Integrators for Stiff Problems with Application to Nonlinear Fokker-Planck Kinetic Models
Hamad El Kahza, William Taitano, Jing-Mei Qiu +1
We propose a high order adaptive-rank implicit integrators for stiff time-dependent PDEs, leveraging extended Krylov subspaces to efficiently and adaptively populate low-rank solut…