Publications

Preprints

  1. Einkemmer, L. (2019). Semi-Lagrangian Vlasov simulation on GPUs. arXiv:1907.08316.
  2. Ding, Z., Einkemmer, L., & Li, Q. (2019). Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation. arXiv:1907.04247.
  3. Einkemmer, L., Ostermann, A., & Residori, M. (2019). A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions. arXiv:1904.10751.
  4. Einkemmer, L., Ostermann, A., & Piazzola, C. (2019). A low-rank projector-splitting integrator for the Vlasov–Maxwell equations with divergence correction. arXiv:1902.00424.

Papers

  1. Einkemmer, L. (2019). A low-rank algorithm for weakly compressible flow. To Appear in SIAM J. Sci. Comput., arXiv:1804.04561.
  2. Einkemmer, L., & Lubich, C. (2019). A quasi-conservative dynamical low-rank algorithm for the Vlasov equation. To Appear in SIAM J. Sci. Comput., arXiv:1807.02338.
  3. Lagravière, J., Langguth, J., Prugger, M., Einkemmer, L., Ha, P. H., & Cai, X. (2019). Performance Optimization and Modeling of Fine-Grained Irregular Communication in UPC. Scientific Programming, 6825728. DOI
  4. Einkemmer, L. (2019). Low-rank approximation of the Boltzmann equation with applications to fluid flow. Oberwolfach Reports, No. 5/2019. Retrieved from MFO.
  5. Wiesenberger, M., Einkemmer, L., Held, M., Gutierrez-Milla, A., Saez, X., & Iakymchuk, R. (2019). Reproducibility, accuracy and performance of the Feltor code and library on parallel computer architectures. Computer Physics Communications, 238, 145–156. DOI arXiv
  6. Einkemmer, L. (2019). A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions. Journal of Computational Physics, 376, 937–951. DOI arXiv
  7. Einkemmer, L., & Lubich, C. (2018). A Low-Rank Projector-Splitting Integrator for the Vlasov–Poisson Equation. SIAM J. Sci. Comput., 40, B1330–B1360. DOI arXiv
  8. Wiesenberger, M., Held, M., Einkemmer, L., & Kendl, A. (2018). Streamline integration as a method for structured grid generation in X-point geometry. J. Comput. Phys., 373, 370–384. DOI arXiv
  9. Einkemmer, L. (2018). An adaptive step size controller for iterative implicit methods. Appl. Numer. Math., 132, 182–204. DOI arXiv
  10. Einkemmer, L., & Ostermann, A. (2018). A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev–Petviashvili equation. Appl. Math. Comput., 334, 311–325. DOI arXiv
  11. Einkemmer, L., Moccaldi, M., & Ostermann, A. (2018). Efficient boundary corrected Strang splitting. Appl. Math. Comput., 332, 76–89. DOI arXiv
  12. Auer, N., Einkemmer, L., Kandolf, P., & Ostermann, A. (2018). Magnus integrators on multicore CPUs and GPUs. Comput. Phys. Commun., 228, 115–122. DOI arXiv
  13. Crouseilles, N., Einkemmer, L., & Prugger, M. (2018). An exponential integrator for the drift-kinetic model. Computer Physics Communications, 224, 144–153. DOI arXiv
  14. L. Einkemmer and A. Ostermann. (2017). A comparison of boundary correction methods for Strang splitting. Discrete Contin. Dyn. Syst. Ser. B, 22, 1. DOI arXiv
  15. Einkemmer, L. (2017). Evaluation of the Intel Xeon Phi and NVIDIA K80 as accelerators for two-dimensional panel codes. PLoS ONE. DOI arXiv
  16. Wiesenberger, M., Held, M., & Einkemmer, L. (2017). Streamline integration as a method for two-dimensional elliptic grid generation. J. Comput. Phys., 340, 435–450. DOI arXiv
  17. Gasteiger, M., Einkemmer, L., Ostermann, A., & Tskhakaya, D. (2017). Alternating direction implicit type preconditioners for the steady state inhomogeneous Vlasov equation. J. Plasma Phys., 83(1), 705830107. DOI arXiv
  18. Einkemmer, L. (2017). A study on conserving invariants of the Vlasov equation in semi-Lagrangian computer simulations. J. Plasma Phys., 83(2), 705830203. DOI arXiv
  19. Einkemmer, L., Tokman, M., & Loffeld, J. (2016). On the performance of exponential integrators for problems in magnetohydrodynamics. J. Comput. Phys., 330, 550–565. DOI arXiv
  20. Prugger, M., Einkemmer, L., & Ostermann, A. (2016). Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver. Parallel Comput., 60, 22–40. DOI arXiv
  21. Einkemmer, L., & Ostermann, A. (2016). Overcoming order reduction in diffusion-reaction splitting. Part 2: oblique boundary conditions. SIAM J. Sci. Comput., 38(6), A3741–A3757. DOI arXiv
  22. Crouseilles, N., Einkemmer, L., & Faou, E. (2016). An asymptotic preserving scheme for the relativistic Vlasov–Maxwell equations in the classical limit. Comput. Phys. Commun., 209, 13–26. DOI arXiv
  23. Einkemmer, L. (2016). Structure preserving numerical methods for the Vlasov equation. Oberwolfach Reports, No. 18/2016. Retrieved from MFO.
  24. Einkemmer, L. (2016). A mixed precision semi-Lagrangian algorithm and its performance on accelerators. High Performance Computing and Simulation (HPCS), International Conference On. DOI arXiv
  25. Einkemmer, L. (2016). High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code. Comput. Phys. Commun., 202, 326–336. DOI arXiv
  26. Einkemmer, L. (2016). A modern resistive magnetohydrodynamics solver using C++ and the Boost library. Comput. Phys. Commun., 206, 69–77. DOI arXiv
  27. Einkemmer, L., & Ostermann, A. (2015). A splitting approach for the Kadomtsev–Petviashvili equation. J. Comput. Phys., 299, 716–730. DOI arXiv
  28. Einkemmer, L., & Ostermann, A. (2015). Overcoming order reduction in diffusion-reaction splitting. Part 1: Dirichlet boundary conditions. SIAM J. Sci. Comput., 37(3), A1577–A1592. DOI arXiv
  29. Einkemmer, L., Vörös, Z., Weihs, G., & Portolan, S. (2015). Polarization entanglement generation in microcavity polariton devices. Phys. Status Solidi (b)., 252(8), 1749–1756. DOI arXiv
  30. Einkemmer, L., & Ostermann, A. (2015). On the error propagation of semi-Lagrange and Fourier methods for advection problems. Comput. Math. Appl., 69(3), 170–179. DOI arXiv
  31. Crouseilles, N., Einkemmer, L., & Faou, E. (2015). A Hamiltonian splitting for the Vlasov–Maxwell system. J. Comput. Phys., 238, 224–240. DOI arXiv
  32. Einkemmer, L., & Wiesenberger, M. (2014). A conservative discontinuous Galerkin scheme for the 2D incompressible Navier–Stokes equations. Comput. Phys. Commun., 185(11), 2865–2873. DOI arXiv
  33. Einkemmer, L., & Ostermann, A. (2014). A comparison of triple jump and Suzuki fractals for obtaining high order from an almost symmetric Strang splitting scheme. Oberwolfach Reports, No. 14/2014. Retrieved from MFO.
  34. Einkemmer, L., & Ostermann, A. (2014). A strategy to suppress recurrence in grid-based Vlasov solvers. Eur. Phys. J. D, 68, 197. DOI arXiv
  35. Portolan, S., Einkemmer, L., Vörös, Z., Weihs, G., & Rabl, P. (2014). Generation of hyper-entangled photon pairs in coupled microcavities. New J. Phys., 16, 063030. DOI arXiv
  36. Einkemmer, L., & Ostermann, A. (2014). An almost symmetric Strang splitting scheme for the construction of high order composition methods. Comput. Appl. Math., 271, 307–318. DOI arXiv
  37. Einkemmer, L., & Ostermann, A. (2014). An almost symmetric Strang splitting scheme for nonlinear evolution equations. Comput. Math. Appl., 67(12), 2144–2157. DOI arXiv
  38. Einkemmer, L., & Ostermann, A. (2014). Convergence analysis of a discontinuous Galerkin/Strang splitting approximation for the Vlasov–Poisson equations. SIAM J. Numer. Anal., 52(2), 757–778. DOI arXiv
  39. Einkemmer, L., & Ostermann, A. (2014). Convergence analysis of Strang splitting for Vlasov-type equations. SIAM J. Numer. Anal., 52(1), 140–155. DOI arXiv
  40. Einkemmer, L., & Ostermann, A. (2013). Exponential integrators on graphic processing units. High Performance Computing and Simulation (HPCS), International Conference On. DOI arXiv

Book chapter

L. Einkemmer, A. Ostermann (editors M. Barden, A. Ostermann)
Scientific Computing @ uibk
Innsbruck University Press

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)