Lukas Einkemmer

ORCID

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 84

Top Venues

CoRR

J. Comput. Phys.

Comput. Phys. Commun.

SIAM J. Sci. Comput.

Publications

Lukas Einkemmer, Julian Mangott, Martina Prugger
A hierarchical dynamical low-rank algorithm for the stochastic description of large reaction networks. CoRR (2024)
Lukas Einkemmer, Julian Mangott, Martina Prugger
A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation. J. Comput. Phys. 503 (2024)
Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su-Olson Problem. SIAM J. Sci. Comput. 46 (2) (2024)
Lukas Einkemmer, Jingwei Hu, Jonas Kusch
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation. SIAM J. Numer. Anal. 62 (1) (2024)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. 46 (2) (2024)
Lukas Einkemmer
Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation. J. Comput. Phys. 501 (2024)
Lukas Einkemmer, Qin Li, Clément Mouhot, Yukun Yue
Control of Instability in a Vlasov-Poisson System Through an External Electric Field. CoRR (2024)
Gianluca Ceruti, Lukas Einkemmer, Jonas Kusch, Christian Lubich
A robust second-order low-rank BUG integrator based on the midpoint rule. CoRR (2024)
Lukas Einkemmer, Qin Li, Li Wang, Yunan Yang
Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization. J. Comput. Phys. 498 (2024)
Lukas Einkemmer, Alexander Moriggl
A Semi-Lagrangian Discontinuous Galerkin Method for Drift-Kinetic Simulations on GPUs. SIAM J. Sci. Comput. 46 (2) (2024)
Pranab Jyoti Deka, Lukas Einkemmer, Mayya Tokman
LeXInt: Package for exponential integrators employing Leja interpolation. SoftwareX 21 (2023)
Lukas Einkemmer, Alexander Moriggl
Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large-scale GPU-equipped supercomputers. Int. J. High Perform. Comput. Appl. 37 (2) (2023)
Lukas Einkemmer, Alexander Ostermann, Carmela Scalone
A robust and conservative dynamical low-rank algorithm. J. Comput. Phys. 484 (2023)
Lukas Einkemmer, Jonas Kusch, Steffen Schotthöfer
Conservation properties of the augmented basis update & Galerkin integrator for kinetic problems. CoRR (2023)
Lukas Einkemmer
Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation. CoRR (2023)
Lukas Einkemmer, Julian Mangott, Martina Prugger
A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation. CoRR (2023)
Jonas Kusch, Lukas Einkemmer, Gianluca Ceruti
On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems. SIAM J. Sci. Comput. 45 (1) (2023)
Pranab Jyoti Deka, Ralf Kissmann, Lukas Einkemmer
Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays. CoRR (2023)
Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem. CoRR (2023)
Joseph Nakao, Jing-Mei Qiu, Lukas Einkemmer
Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models. CoRR (2023)
Martina Prugger, Lukas Einkemmer, Carlos F. Lopez
A dynamical low-rank approach to solve the chemical master equation for biological reaction networks. J. Comput. Phys. 489 (2023)
Pranab Jyoti Deka, Alexander Moriggl, Lukas Einkemmer
LeXInt: GPU-accelerated Exponential Integrators package. CoRR (2023)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations. CoRR (2023)
Lukas Einkemmer, Qin Li, Li Wang, Yunan Yang
Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization. CoRR (2023)
Pranab Jyoti Deka, Mayya Tokman, Lukas Einkemmer
A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators. CoRR (2022)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. Numerische Mathematik 150 (1) (2022)
Pranab Jyoti Deka, Lukas Einkemmer, Ralf Kissmann, Stefan-Tiberiu Kis
Exponential methods for anisotropic diffusion. CoRR (2022)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich
-mode integrator for solving evolution equations in Kronecker form. J. Comput. Phys. 455 (2022)
Fabio Cassini, Lukas Einkemmer
Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign. Comput. Phys. Commun. 280 (2022)
Pranab Jyoti Deka, Lukas Einkemmer, Mayya Tokman
LeXInt: Package for Exponential Integrators employing Leja interpolation. CoRR (2022)
Lukas Einkemmer, Jingwei Hu, Jonas Kusch
Asymptotic-preserving and energy stable dynamical low-rank approximation. CoRR (2022)
Lukas Einkemmer, Alexander Ostermann, Carmen Scalone
A robust and conservative dynamical low-rank algorithm. CoRR (2022)
Pranab Jyoti Deka, Lukas Einkemmer
Efficient adaptive step size control for exponential integrators. Comput. Math. Appl. 123 (2022)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. CoRR (2021)
Fabio Cassini, Lukas Einkemmer
Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign. CoRR (2021)
Lukas Einkemmer, Ilon Joseph
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation. CoRR (2021)
Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. J. Comput. Phys. 437 (2021)
Lukas Einkemmer, Jingwei Hu, Lexing Ying
An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime. SIAM J. Sci. Comput. 43 (5) (2021)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. Comput. Phys. Commun. 269 (2021)
Pranab Jyoti Deka, Lukas Einkemmer
Efficient adaptive step size control for exponential integrators. CoRR (2021)
Jonas Kusch, Lukas Einkemmer, Gianluca Ceruti
On the stability of robust dynamical low-rank approximations for hyperbolic problems. CoRR (2021)
Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer, Martin Frank
Dynamical low-rank approximation for Burgers' equation with uncertainty. CoRR (2021)
Lukas Einkemmer, Jingwei Hu, Yubo Wang
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation. J. Comput. Phys. 439 (2021)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich
A μ-mode integrator for solving evolution equations in Kronecker form. CoRR (2021)
Lukas Einkemmer, Ilon Joseph
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation. J. Comput. Phys. 443 (2021)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions. J. Comput. Appl. Math. 385 (2021)
Martina Prugger, Lukas Einkemmer, Samantha P. Beik, Perry T. Wasdin, Leonard A. Harris, Carlos F. Lopez
Unsupervised logic-based mechanism inference for network-driven biological processes. PLoS Comput. Biol. 17 (6) (2021)
Pranab Jyoti Deka, Lukas Einkemmer
Exponential Integrators for MHD: Matrix-free Leja interpolation and efficient adaptive time stepping. CoRR (2021)
Zhiyan Ding, Lukas Einkemmer, Qin Li
Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit. SIAM J. Numer. Anal. 59 (4) (2021)
Lukas Einkemmer, Jingwei Hu, Lexing Ying
An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime. CoRR (2021)
Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. CoRR (2020)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. CoRR (2020)
Lukas Einkemmer
Semi-Lagrangian Vlasov simulation on GPUs. Comput. Phys. Commun. 254 (2020)
Lukas Einkemmer, Jingwei Hu, Yubo Wang
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation. CoRR (2020)
Lukas Einkemmer, Alexander Ostermann, Chiara Piazzola
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. J. Comput. Phys. 403 (2020)
Nicolas Crouseilles, Lukas Einkemmer, Josselin Massot
Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations. J. Comput. Phys. 420 (2020)
Jérémie Lagravière, Johannes Langguth, Martina Prugger, Lukas Einkemmer, Phuong Hoai Ha, Xing Cai
Performance Optimization and Modeling of Fine-Grained Irregular Communication in UPC. Sci. Program. 2019 (2019)
Lukas Einkemmer
A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions. J. Comput. Phys. 376 (2019)
Nicolas Crouseilles, Lukas Einkemmer, Josselin Massot
Exponential methods for solving hyperbolic problems with application to kinetic equations. CoRR (2019)
Matthias Wiesenberger, Lukas Einkemmer, Markus Held, Albert Gutierrez-Milla, Xavier Saez, Roman Iakymchuk
Reproducibility, accuracy and performance of the Feltor code and library on parallel computer architectures. Comput. Phys. Commun. 238 (2019)
Zhiyan Ding, Lukas Einkemmer, Qin Li
Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation. CoRR (2019)
Lukas Einkemmer, Christian Lubich
A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation. SIAM J. Sci. Comput. 41 (5) (2019)
Jérémie Lagravière, Johannes Langguth, Martina Prugger, Lukas Einkemmer, Phuong Hoai Ha, Xing Cai
Performance optimization and modeling of fine-grained irregular communication in UPC. CoRR (2019)
Lukas Einkemmer
Semi-Lagrangian Vlasov simulation on GPUs. CoRR (2019)
Lukas Einkemmer
A Low-Rank Algorithm for Weakly Compressible Flow. SIAM J. Sci. Comput. 41 (5) (2019)
Lukas Einkemmer, Alexander Ostermann
A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation. Appl. Math. Comput. 334 (2018)
Lukas Einkemmer, Martina Moccaldi, Alexander Ostermann
Efficient boundary corrected Strang splitting. Appl. Math. Comput. 332 (2018)
Nicolas Crouseilles, Lukas Einkemmer, Martina Prugger
An exponential integrator for the drift-kinetic model. Comput. Phys. Commun. 224 (2018)
N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann
Magnus integrators on multicore CPUs and GPUs. Comput. Phys. Commun. 228 (2018)
Lukas Einkemmer, Christian Lubich
A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation. SIAM J. Sci. Comput. 40 (5) (2018)
Matthias Wiesenberger, Markus Held, Lukas Einkemmer, Alexander Kendl
Streamline integration as a method for structured grid generation in X-point geometry. J. Comput. Phys. 373 (2018)
Lukas Einkemmer
A comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions. CoRR (2018)
Matthias Wiesenberger, Markus Held, Lukas Einkemmer
Streamline integration as a method for two-dimensional elliptic grid generation. J. Comput. Phys. 340 (2017)
Lukas Einkemmer, Mayya Tokman, John Loffeld
On the performance of exponential integrators for problems in magnetohydrodynamics. J. Comput. Phys. 330 (2017)
N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann
Magnus integrators on multicore CPUs and GPUs. CoRR (2017)
Lukas Einkemmer
On the geometric properties of the semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equation. CoRR (2016)
Lukas Einkemmer, Alexander Ostermann
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions. SIAM J. Sci. Comput. 38 (6) (2016)
Lukas Einkemmer
A mixed precision semi-Lagrangian algorithm and its performance on accelerators. CoRR (2016)
Martina Prugger, Lukas Einkemmer, Alexander Ostermann
Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver. Parallel Comput. 60 (2016)
Lukas Einkemmer
A mixed precision semi-Lagrangian algorithm and its performance on accelerators. HPCS (2016)
Lukas Einkemmer
High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code. Comput. Phys. Commun. 202 (2016)
Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit. Comput. Phys. Commun. 209 (2016)
Martina Prugger, Lukas Einkemmer, Alexander Ostermann
Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver. CoRR (2016)
Lukas Einkemmer
A resistive magnetohydrodynamics solver using modern C++ and the Boost library. Comput. Phys. Commun. 206 (2016)
Lukas Einkemmer, Alexander Ostermann
On the error propagation of semi-Lagrange and Fourier methods for advection problems. Comput. Math. Appl. 69 (3) (2015)
Lukas Einkemmer
High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code. CoRR (2015)
Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
Hamiltonian splitting for the Vlasov-Maxwell equations. J. Comput. Phys. 283 (2015)
Lukas Einkemmer, Alexander Ostermann
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions. SIAM J. Sci. Comput. 37 (3) (2015)
Lukas Einkemmer, Alexander Ostermann
A splitting approach for the Kadomtsev-Petviashvili equation. J. Comput. Phys. 299 (2015)
Lukas Einkemmer
Evaluation of the Intel Xeon Phi and NVIDIA K80 as accelerators for two-dimensional panel codes. CoRR (2015)
Lukas Einkemmer, Alexander Ostermann
An almost symmetric Strang splitting scheme for nonlinear evolution equations. Comput. Math. Appl. 67 (12) (2014)
Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
A Hamiltonian splitting for the Vlasov-Maxwell system. CoRR (2014)
Lukas Einkemmer, Alexander Ostermann
A splitting approach for the Kadomtsev-Petviashvili equation. CoRR (2014)
Lukas Einkemmer, Alexander Ostermann
Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations. SIAM J. Numer. Anal. 52 (2) (2014)
Lukas Einkemmer, Matthias Wiesenberger
A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations. Comput. Phys. Commun. 185 (11) (2014)
Lukas Einkemmer, Alexander Ostermann
An almost symmetric Strang splitting scheme for the construction of high order composition methods. J. Comput. Appl. Math. 271 (2014)
Lukas Einkemmer, Alexander Ostermann
Convergence Analysis of Strang Splitting for Vlasov-Type Equations. SIAM J. Numer. Anal. 52 (1) (2014)
Lukas Einkemmer
A modern resistive magnetohydrodynamics solver using C++ and the Boost library. CoRR (2014)
Lukas Einkemmer, Alexander Ostermann
On the error propagation of semi-Lagrange and Fourier methods for advection problems. CoRR (2014)
Lukas Einkemmer, Matthias Wiesenberger
A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations. CoRR (2013)

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Publication Activity (10 Years)

Top Topics

Top Venues

Lukas Einkemmer