90 citations · 1k across the 88 of their papers we have counts for
4 papers · 2 filters
A quasi-conservative dynamical low-rank algorithm for the Vlasov equation
Lukas Einkemmer, Christian Lubich
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 effective…
A low-rank algorithm for weakly compressible flow
Lukas Einkemmer
In this paper, we propose a numerical method for solving weakly compressible fluid flow based on a dynamical low-rank projector splitting. The low-rank splitting scheme is applied…
A comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
Lukas Einkemmer
The purpose of the present paper is to compare two semi-Lagrangian methods in the context of the four-dimensional Vlasov--Poisson equation. More specifically, our goal is to compar…
A low-rank projector-splitting integrator for the Vlasov--Poisson equation
Lukas Einkemmer, Christian Lubich
Many problems encountered in plasma physics require a description by kinetic equations, which are posed in an up to six-dimensional phase space. A direct discretization of this pha…