A characteristic mapping method for Vlasov-Poisson with extreme resolution properties

P Krah, XY Yin, J Bergmann, JC Nave… - arXiv preprint arXiv …, 2023 - arxiv.org
We propose an efficient semi-Lagrangian characteristic mapping method for solving the
one+ one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The …

Controlling a Vlasov–Poisson Plasma by a Particle-in-Cell Method Based on a Monte Carlo Framework

J Bartsch, P Knopf, S Scheurer, J Weber - SIAM Journal on Control and …, 2024 - SIAM
The Vlasov–Poisson system describes the time evolution of a plasma in the so-called
collisionless regime. The investigation of a high-temperature plasma that is influenced by an …

Introduction to the numerical flow iteration for the Vlasov–Poisson equation

RP Wilhelm, M Kirchhart, M Torrilhon - PAMM, 2023 - Wiley Online Library
We present a novel approach to solve the Vlasov–Poisson equation: the numerical flow
iteration. It evaluates the numerical solution by storing the low‐dimensional electric …

High fidelity simulations of the multi-species Vlasov equation in the electro-static, collisional-less limit

RP Wilhelm, J Eifert, M Torrilhon… - Plasma Physics and …, 2024 - iopscience.iop.org
The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains
a significant challenge in nuclear fusion research. To accurately capture the plasma's …

Mode Decomposition and Long-Term Solution Prediction for the Vlasov-Poisson Equation.

D Kim - Journal of Information & Communication …, 2024 - search.ebscohost.com
Abstract The Vlasov-Poisson (VP) equation plays an important role in plasma physics. Most
numerical methods for the VP equation are based on the finite difference method (FDM) or …