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Structure-preserving finite element approximations of a hybrid relativistic cold fluid-particle model
Tileuzhan Mukhamet, Katharina Kormann
We derive mixed finite element discretizations of a cold relativistics fluid model from approximations of the Poisson bracket that preserve mass, energy and the divergence constrai…
Restarting the Numerical Flow Iteration through low rank tensor approximations
Rostislav-Paul Wilhelm, Katharina Kormann
The numerical flow iteration method has recently been proposed as a memory-slim solution method for the Vlasov--Poisson system. It stores the temporal evolution of the electric fie…
Performance evaluation of mixed-precision Runge-Kutta methods for the solution of partial differential equations
Ivo Dravins, Marcel Koch, Victoria Griehl +1
This work focuses on the numerical study of a recently published class of Runge-Kutta methods designed for mixed-precision arithmetic. We employ the methods in solving partial diff…
A review of low-rank methods for time-dependent kinetic simulations
Lukas Einkemmer, Katharina Kormann, Jonas Kusch +2
Time-dependent kinetic models are ubiquitous in computational science and engineering. The underlying integro-differential equations in these models are high-dimensional, comprised…