3 papers
math.NA2025
Restarting the Numerical Flow Iteration through low rank tensor approximations
Rostislav-Paul Wilhelm, Katharina Kormann
The numerical flow iteration method has recently been proposed as a memory-slim solution method for the Vlasov--Poisson system. It stores the temporal evolution of the electric fie…
physics.plasm-ph2024
High Fidelity simulations of the multi-species Vlasov equation in the electro-static, collisional-less limit
Rostislav-Paul Wilhelm, Jan Eifert, Manuel Torrilhon
The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains a significant challenge in nuclear fusion research. To accurately capture the plasmas…
math.NA2023
The Numerical Flow Iteration for the Vlasov-Poisson equation
Matthias Kirchhart, Rostislav-Paul Wilhelm
We present the numerical flow iteration (NuFI) for solving the Vlasov--Poisson equation. In a certain sense specified later herein, NuFI provides infinite resolution of the distrib…