73 citations · 745 across the 45 of their papers we have counts for
4 papers · 1 filter
Magnus integrators on multicore CPUs and GPUs
N. Auer, L. Einkemmer, P. Kandolf +1
In the present paper we consider numerical methods to solve the discrete Schrödinger equation with a time dependent Hamiltonian (motivated by problems encountered in the study of s…
ADI type preconditioners for the steady state inhomogeneous Vlasov equation
Markus Gasteiger, Lukas Einkemmer, Alexander Ostermann +1
The purpose of the current work is to find numerical solutions of the steady state inhomogeneous Vlasov equation. This problem has a wide range of applications in the kinetic simul…
A splitting approach for the Kadomtsev--Petviashvili equation
Lukas Einkemmer, Alexander Ostermann
We consider a splitting approach for the Kadomtsev--Petviashvili equation with periodic boundary conditions and show that the necessary interpolation procedure can be efficiently i…
A strategy to suppress recurrence in grid-based Vlasov solvers
Lukas Einkemmer, Alexander Ostermann
In this paper we propose a strategy to suppress the recurrence effect present in grid-based Vlasov solvers. This method is formulated by introducing a cutoff frequency in Fourier s…