815 citations · 1.4k across the 35 of their papers we have counts for
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math.NA2018
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…
math.NA2018
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
Balázs Kovács, Buyang Li, Christian Lubich
A proof of convergence is given for semi- and full discretizations of mean curvature flow of closed two-dimensional surfaces. The numerical method proposed and studied here combine…
math.NA2018
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…