Publications
Preprints
L. Einkemmer, C. Lubich
A quasi-conservative dynamical low-rank algorithm for the Vlasov equation
Preprint (ArXiv)
M. Wiesenberger, L. Einkemmer, M. Held, A. Gutierrez-Milla, X. Saez, R. Iakymchuk
Applications, reproducibility, numerical analysis and performance of the Feltor code and library on parallel computer architectures
Preprint (ArXiv)
L. Einkemmer
A low-rank algorithm for weakly compressible flow
Preprint (ArXiv)
L. Einkemmer
A comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
Preprint (ArXiv)
Papers
2018
L. Einkemmer, C. Lubich
A low-rank projector-splitting integrator for the Vlasov-Poisson equation
To appear in SIAM Journal on Scientific Computing (ArXiv)
M. Wiesenberger, M. Held, L. Einkemmer, A. Kendl
Streamline integration as a method for structured grid generation in X-point geometry
Journal of Computational Physics, Vol. 373, pp. 370-384 (ScienceDirect, ArXiv)
L. Einkemmer
An adaptive step size controller for iterative implicit methods
Applied Numerical Mathematics, Vol. 132, pp. 182-204 (ScienceDirect, arXiv)
L. Einkemmer, A. Ostermann
A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation
Applied Mathematics and Computation, Vol. 334, pp. 311-325 (ScienceDirect, arXiv)
L. Einkemmer, M. Moccaldi, A. Ostermann
Efficient boundary corrected Strang splitting
Applied Mathematics and Computation, Vol. 332, pp. 76-89 (ScienceDirect, arXiv)
N. Auer, L. Einkemmer, P. Kandolf, A. Ostermann
Magnus integrators on multicore CPUs and GPUs
Computer Physics Communications, Vol. 228, pp. 115-122 (ScienceDirect, arXiv)
2017
N. Crouseilles, L. Einkemmer, M. Prugger
An exponential integrator for the drift-kinetic model
Computer Physics Communications, Vol. 224, pp. 114-153 (ScienceDirect, arXiv)
L. Einkemmer, A. Ostermann
A comparison of boundary correction methods for Strang splitting
Discrete and Continuous Dynamical Systems - Series B, Vol. 23:7, pp. 2641-2660 (DCDS-B, arXiv)
L. Einkemmer
Evaluation of the Intel Xeon Phi and NVIDIA K80 as accelerators for two-dimensional panel codes
PLOS ONE (PLOS ONE - OpenAccess)
M. Wiesenberger, M. Held, L. Einkemmer
Streamline integration as a method for two-dimensional elliptic grid generation
Journal of Computational Physics, Vol. 340, pp. 435-450 (ScienceDirect, arXiv)
M. Gasteiger, L. Einkemmer, A. Ostermann, D. Tskhakaya
Alternating direction implicit type preconditioners for the steady state inhomogeneous Vlasov equation
Journal of Plasma Physics, Vol. 83:1, p. 705830107 ( Cambridge, arXiv)
L. Einkemmer
A study on conserving invariants of the Vlasov equation in semi-Lagrangian computer simulations
Journal of Plasma Physics, Vol. 83:2, p. 705830203 (Cambridge, arXiv)
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)
M. Prugger, L. Einkemmer, A. Ostermann
Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver
Parallel Computing, Vol. 60, pp. 22-40 (ScienceDirect, arXiv)
L. Einkemmer, A. Ostermann
Overcoming order reduction in diffusion-reaction splitting. Part 2: oblique boundary conditions
SIAM Journal on Scientific Computing, Vol. 38, Issue 6, pp. A3741-A3757 (SIAM, 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)
Lukas Einkemmer
A mixed precision semi-Lagrangian algorithm and its performance on accelerators (IEEE, arXiv)
High Performance Computing and Simulation (HPCS), 2016 International Conference on
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, Z. Vörös, G. Weihs, S. Portolan
Entanglement generation in microcavity polariton devices
Physica Status Solidi B, DOI: 10.1002/pssb.201451704 (PSSB, 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)
S. Portolan, L. Einkemmer, Z. Vörös, G. Weihs, P. Rabl
Generation of hyper-entangled photon pairs in coupled microcavities
New Journal of Physics 2014, Vol. 16, p. 063030 (NJP - Open Access)
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)
2013
L. Einkemmer, A. Ostermann Exponential integrators on graphic processing units
High Performance Computing and Simulation (HPCS), 2013 International Conference on (IEEE, arXiv)
Book chapter
L. Einkemmer, A. Ostermann (editors M. Barden, A. Ostermann)
Scientific Computing @ uibk
Innsbruck University Press
Theses & Term papers
PhD thesis
Splitting methods for the Vlasov-Poisson and Vlasov-Maxwell equations (pdf)
Advisor: Alexander Ostermann
Master theses
Parametric scattering in microcavities (pdf)
Advisor: Gregor Weihs, Zoltán Vörös
Exponential integrators on graphic processing units (pdf)
Advisor: Alexander Ostermann
Bachelor theses
Monte Carlo methods (pdf)
Advisor: Alexander Ostermann
Topics in non-linear differential equations (pdf)
Advisor: Norbert Ortner
HTL final project (german)
BioAuth - Ein System zur biometrischen Authentifizierung
Advisor: Michael Weiss
Term papers
Quasi-Monte Carlo methods (pdf)