90 citations · 1k across the 88 of their papers we have counts for
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Exponential methods for solving hyperbolic problems with application to kinetic equations
Nicolas Crouseilles, Lukas Einkemmer, Josselin Massot
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 th…
Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit
Zhiyan Ding, Lukas Einkemmer, Qin Li
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 a low…
A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
The goal of the present work is to solve a linear dispersive equation with variable coefficient advection on an unbounded domain. In this setting, transparent boundary conditions a…
A low-rank projector-splitting integrator for the Vlasov--Maxwell equations with divergence correction
Lukas Einkemmer, Alexander Ostermann, Chiara Piazzola
The Vlasov--Maxwell equations are used for the kinetic description of magnetized plasmas. As they are posed in an up to 3+3 dimensional phase space, solving this problem is extreme…