90 citations · 1k across the 88 of their papers we have counts for
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A simple predictor-corrector scheme without order reduction for advection-diffusion-reaction problems
Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
Treating diffusion and advection/reaction separately is an effective strategy for solving semilinear advection-diffusion-reaction equations. However, such an approach is prone to s…
Control of kinetic plasma instabilities by laser fields
Nicolas Crouseilles, Lukas Einkemmer, Qin Li +2
We study the possibility of controlling kinetic plasma instabilities by using lasers to apply external electromagnetic fields. We derive the dispersion relation for the correspondi…
An adaptive dynamical low-rank optimizer for solving kinetic parameter identification problems
Lena Baumann, Lukas Einkemmer, Christian Klingenberg +1
The numerical solution of parameter identification problems for kinetic equations can exhibit high computational and memory costs. In this paper, we propose a dynamical low-rank sc…
A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit
Gianluca Ceruti, Nicolas Crouseilles, Lukas Einkemmer
The numerical approximation of high-dimensional evolution equations poses significant computational challenges, particularly in kinetic theory and radiative transfer. In this work,…
An initial-boundary corrected splitting method for diffusion-reaction problems
Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
Strang splitting is a widely used second-order method for solving diffusion-reaction problems. However, its convergence order is often reduced to order for Dirichlet boundary c…
On the convergence of split exponential integrators for semilinear parabolic problems
Marco Caliari, Fabio Cassini, Lukas Einkemmer +1
Splitting the exponential-like functions, which typically appear in exponential integrators, is attractive in many situations since it can dramatically reduce the computational…