Papers
2016
Lukas Einkemmer, Mayya Tokman, John Loffeld
On the performance of exponential integrators for problems in magnetohydrodynamics
Journal of Computational Physics, Vol. 330, pp. 550-565 (ScienceDirect, arXiv)
Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit
Computer Physics Communications, Vol. 209, pp. 13-26 (ScienceDirect, arXiv)
Lukas Einkemmer
Structure preserving numerical methods for the Vlasov equation
Oberwolfach Reports No. 18/2016 (pdf, arXiv)
L. Einkemmer
High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code
Computer Physics Communications, Vol. 202, pp. 326-336 (ScienceDirect, arXiv)
L. Einkemmer
A resistive magnetohydrodynamics solver using modern C++ and the Boost library
Computer Physics Communications, Vol. 206, pp. 69-77 (ScienceDirect, arXiv)
2015
L. Einkemmer, A. Ostermann
A splitting approach for the Kadomtsev-Petviashvili equation
Journal of Computational Physics 2015, Vol. 299, pp. 716-730 (ScienceDirect, arXiv)
L. Einkemmer, A. Ostermann
Overcoming order reduction in diffusion-reaction splitting. Part 1: Dirichlet boundary conditions
SIAM Journal on Scientific Computing 2015, Vol. 37, No. 3, pp. A1577-A1592 (SIAM, arXiv)
L. Einkemmer, A. Ostermann
On the error propagation of semi-Lagrange and Fourier methods for advection problems
Computers & Mathematics with Applications 2015, Vol. 69, No. 3, pp.170-179 (ScienceDirect - OpenAccess)
N. Crouseilles, L. Einkemmer, E. Faou
A Hamiltonian splitting for the Vlasov-Maxwell system
Journal of Computational Physics 2015, Vol. 283, pp. 224-240 (ScienceDirect, arXiv)
2014
L. Einkemmer, M. Wiesenberger
A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations
Computer Physics Communications 2014, Vol. 185, Issue 11, p. 2865–2873 (ScienceDirect, arXiv)
L. Einkemmer, A. Ostermann
A comparison of triple jump and Suzuki fractals for obtaining high order from an almost symmetric Strang splitting scheme
Oberwolfach Reports No. 14/2014 (pdf)
L. Einkemmer, A. Ostermann
A strategy to suppress recurrence in grid-based Vlasov solvers
The European Physical Journal D 2014, Vol. 68, p. 197 (Springer, arXiv)
L. Einkemmer, A. Ostermann
An almost symmetric Strang splitting scheme for the construction of high order composition methods
Journal of Computational and Applied Mathematics 2014, Vol. 271, pp. 307-318 (ScienceDirect - OpenAccess)
L. Einkemmer, A. Ostermann
An almost symmetric Strang splitting scheme for nonlinear evolution equations
Computers & Mathematics with Applications 2014, Vol. 67, Issue 12, pp. 2144-2157 (ScienceDirect - Open Access)
L. Einkemmer, A. Ostermann
Convergence analysis of a discontinuous Galerkin/Strang splitting approximation for the Vlasov-Poisson equations
SIAM Journal on Numerical Analysis 2014, Vol. 52, No. 2, pp. 757-778 (SIAM, arXiv)
L. Einkemmer, A. Ostermann
Convergence analysis of Strang splitting for Vlasov-type equations
SIAM Journal on Numerical Analysis 2014, Vol. 52, No. 1, pp. 140-155 (SIAM, arXiv)
Preprints
L. Einkemmer
Evaluation of the Intel Xeon Phi and NVIDIA K80 as accelerators for two-dimensional panel codes
Preprint (arXiv)