Dynamical low-rank approximation has become a valuable tool to perform an on-the-fly
model order reduction for prohibitively large matrix differential equations. A core ingredient …

We propose a dynamical low-rank algorithm for a gyrokinetic model that is used to describe
strongly magnetized plasmas. The low-rank approximation is based on a decomposition into …

Feltor is a modular and free scientific software package. It allows developing platform
independent code that runs on a variety of parallel computer architectures ranging from …

Numerical methods that approximate the solution of the Vlasov--Poisson equation by a low-
rank representation have been considered recently. These methods can be extremely …

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 …

The efficient numerical solution of many kinetic models in plasma physics is impeded by the
stiffness of these systems. Exponential integrators are attractive in this context as they …

Running kinetic simulations using grid-based methods is extremely expensive due to the up
to six-dimensional phase space. Recently, it has been shown that dynamical low-rank …

Maintaining the stability and shape of a plasma is a crucial task in many technological
applications ranging from beam shaping to fusion energy. This is often challenging as …

Dynamical low-rank algorithms are a class of numerical methods that compute low-rank
approximations of dynamical systems. This is accomplished by projecting the dynamics onto …

In this paper, we propose a semi-Lagrangian discontinuous Galerkin method coupled with
Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The …