Exponential integrators on graphic processing units. - Lukas Einkemmer; Alexander Ostermann (HPCS, 2013)

An almost symmetric Strang splitting scheme for nonlinear evolution equations. - Lukas Einkemmer; Alexander Ostermann (Comput. Math. Appl., 2014)

A Hamiltonian splitting for the Vlasov-Maxwell system. - Nicolas Crouseilles; Lukas Einkemmer; Erwan Faou (CoRR, 2014)

A modern resistive magnetohydrodynamics solver using C++ and the Boost library. - Lukas Einkemmer (CoRR, 2014)

A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations. - Lukas Einkemmer; Matthias Wiesenberger (Comput. Phys. Commun., 2014)

An almost symmetric Strang splitting scheme for the construction of high order composition methods. - Lukas Einkemmer; Alexander Ostermann (J. Comput. Appl. Math., 2014)

Convergence Analysis of Strang Splitting for Vlasov-Type Equations. - Lukas Einkemmer; Alexander Ostermann (SIAM J. Numer. Anal., 2014)

Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations. - Lukas Einkemmer; Alexander Ostermann (SIAM J. Numer. Anal., 2014)

On the error propagation of semi-Lagrange and Fourier methods for advection problems. - Lukas Einkemmer; Alexander Ostermann (Comput. Math. Appl., 2015)

Evaluation of the Intel Xeon Phi and NVIDIA K80 as accelerators for two-dimensional panel codes. - Lukas Einkemmer (CoRR, 2015)

Hamiltonian splitting for the Vlasov-Maxwell equations. - Nicolas Crouseilles; Lukas Einkemmer; Erwan Faou (J. Comput. Phys., 2015)

A splitting approach for the Kadomtsev-Petviashvili equation. - Lukas Einkemmer; Alexander Ostermann (J. Comput. Phys., 2015)

Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions. - Lukas Einkemmer; Alexander Ostermann (SIAM J. Sci. Comput., 2015)

A mixed precision semi-Lagrangian algorithm and its performance on accelerators. - Lukas Einkemmer (HPCS, 2016)

On the geometric properties of the semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equation. - Lukas Einkemmer (CoRR, 2016)

An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit. - Nicolas Crouseilles; Lukas Einkemmer; Erwan Faou (Comput. Phys. Commun., 2016)

High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code. - Lukas Einkemmer (Comput. Phys. Commun., 2016)

A resistive magnetohydrodynamics solver using modern C++ and the Boost library. - Lukas Einkemmer (Comput. Phys. Commun., 2016)

Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver. - Martina Prugger; Lukas Einkemmer; Alexander Ostermann (Parallel Comput., 2016)

Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions. - Lukas Einkemmer; Alexander Ostermann (SIAM J. Sci. Comput., 2016)

On the performance of exponential integrators for problems in magnetohydrodynamics. - Lukas Einkemmer; Mayya Tokman; John Loffeld (J. Comput. Phys., 2017)

Streamline integration as a method for two-dimensional elliptic grid generation. - Matthias Wiesenberger; Markus Held; Lukas Einkemmer (J. Comput. Phys., 2017)

Efficient boundary corrected Strang splitting. - Lukas Einkemmer; Martina Moccaldi; Alexander Ostermann (Appl. Math. Comput., 2018)

A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation. - Lukas Einkemmer; Alexander Ostermann (Appl. Math. Comput., 2018)

A comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions. - Lukas Einkemmer (CoRR, 2018)

Magnus integrators on multicore CPUs and GPUs. - N. Auer; Lukas Einkemmer; Peter Kandolf; Alexander Ostermann (Comput. Phys. Commun., 2018)

An exponential integrator for the drift-kinetic model. - Nicolas Crouseilles; Lukas Einkemmer; Martina Prugger (Comput. Phys. Commun., 2018)

Streamline integration as a method for structured grid generation in X-point geometry. - Matthias Wiesenberger; Markus Held; Lukas Einkemmer; Alexander Kendl (J. Comput. Phys., 2018)

A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation. - Lukas Einkemmer; Christian Lubich (SIAM J. Sci. Comput., 2018)

Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation. - Zhiyan Ding; Lukas Einkemmer; Qin Li 007 (CoRR, 2019)

Exponential methods for solving hyperbolic problems with application to kinetic equations. - Nicolas Crouseilles; Lukas Einkemmer; Josselin Massot (CoRR, 2019)

Reproducibility, accuracy and performance of the Feltor code and library on parallel computer architectures. - Matthias Wiesenberger; Lukas Einkemmer; Markus Held; Albert Gutierrez-Milla; Xavier Saez; Roman Iakymchuk (Comput. Phys. Commun., 2019)

A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions. - Lukas Einkemmer (J. Comput. Phys., 2019)

A Low-Rank Algorithm for Weakly Compressible Flow. - Lukas Einkemmer (SIAM J. Sci. Comput., 2019)

A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation. - Lukas Einkemmer; Christian Lubich (SIAM J. Sci. Comput., 2019)

Performance Optimization and Modeling of Fine-Grained Irregular Communication in UPC. - Jérémie Lagravière; Johannes Langguth; Martina Prugger; Lukas Einkemmer; Phuong Hoai Ha; Xing Cai (Sci. Program., 2019)

Semi-Lagrangian Vlasov simulation on GPUs. - Lukas Einkemmer (Comput. Phys. Commun., 2020)

Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations. - Nicolas Crouseilles; Lukas Einkemmer; Josselin Massot (J. Comput. Phys., 2020)

A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. - Lukas Einkemmer; Alexander Ostermann; Chiara Piazzola (J. Comput. Phys., 2020)

A μ-mode integrator for solving evolution equations in Kronecker form. - Marco Caliari; Fabio Cassini; Lukas Einkemmer; Alexander Ostermann; Franco Zivcovich (CoRR, 2021)

Dynamical low-rank approximation for Burgers' equation with uncertainty. - Jonas Kusch; Gianluca Ceruti; Lukas Einkemmer; Martin Frank (CoRR, 2021)

Exponential Integrators for MHD: Matrix-free Leja interpolation and efficient adaptive time stepping. - Pranab Jyoti Deka; Lukas Einkemmer (CoRR, 2021)

An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. - Lukas Einkemmer; Alexander Ostermann; Mirko Residori (Comput. Phys. Commun., 2021)

A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions. - Lukas Einkemmer; Alexander Ostermann; Mirko Residori (J. Comput. Appl. Math., 2021)

An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. - Marco Caliari; Lukas Einkemmer; Alexander Moriggl; Alexander Ostermann (J. Comput. Phys., 2021)

An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation. - Lukas Einkemmer; Jingwei Hu; Yubo Wang (J. Comput. Phys., 2021)

A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation. - Lukas Einkemmer; Ilon Joseph (J. Comput. Phys., 2021)

Unsupervised logic-based mechanism inference for network-driven biological processes. - Martina Prugger; Lukas Einkemmer; Samantha P. Beik; Perry T. Wasdin; Leonard A. Harris; Carlos F. Lopez (PLoS Comput. Biol., 2021)

Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit. - Zhiyan Ding; Lukas Einkemmer; Qin Li 007 (SIAM J. Numer. Anal., 2021)

An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime. - Lukas Einkemmer; Jingwei Hu; Lexing Ying (SIAM J. Sci. Comput., 2021)

Efficient adaptive step size control for exponential integrators. - Pranab Jyoti Deka; Lukas Einkemmer (Comput. Math. Appl., 2022)

A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators. - Pranab Jyoti Deka; Mayya Tokman; Lukas Einkemmer (CoRR, 2022)

Exponential methods for anisotropic diffusion. - Pranab Jyoti Deka; Lukas Einkemmer; Ralf Kissmann; Stefan-Tiberiu Kis (CoRR, 2022)

Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign. - Fabio Cassini; Lukas Einkemmer (Comput. Phys. Commun., 2022)

A μ-mode integrator for solving evolution equations in Kronecker form. - Marco Caliari; Fabio Cassini; Lukas Einkemmer; Alexander Ostermann; Franco Zivcovich (J. Comput. Phys., 2022)

A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. - Lukas Einkemmer; Alexander Ostermann; Mirko Residori (Numerische Mathematik, 2022)

Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations. - Marco Caliari; Fabio Cassini; Lukas Einkemmer; Alexander Ostermann (CoRR, 2023)

Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays. - Pranab Jyoti Deka; Ralf Kissmann; Lukas Einkemmer (CoRR, 2023)

Conservation properties of the augmented basis update & Galerkin integrator for kinetic problems. - Lukas Einkemmer; Jonas Kusch; Steffen Schotthöfer (CoRR, 2023)

A dynamical low-rank approach to solve the chemical master equation for biological reaction networks. - Martina Prugger; Lukas Einkemmer; Carlos F. Lopez (J. Comput. Phys., 2023)

On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems. - Jonas Kusch; Lukas Einkemmer; Gianluca Ceruti (SIAM J. Sci. Comput., 2023)

LeXInt: Package for exponential integrators employing Leja interpolation. - Pranab Jyoti Deka; Lukas Einkemmer; Mayya Tokman (SoftwareX, 2023)

Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large-scale GPU-equipped supercomputers. - Lukas Einkemmer; Alexander Moriggl (Int. J. High Perform. Comput. Appl., 2023)

A robust and conservative dynamical low-rank algorithm. - Lukas Einkemmer; Alexander Ostermann; Carmela Scalone (J. Comput. Phys., 2023)

A robust second-order low-rank BUG integrator based on the midpoint rule. - Gianluca Ceruti; Lukas Einkemmer; Jonas Kusch; Christian Lubich (CoRR, 2024)

A hierarchical dynamical low-rank algorithm for the stochastic description of large reaction networks. - Lukas Einkemmer; Julian Mangott; Martina Prugger (CoRR, 2024)

A multi-fidelity adaptive dynamical low-rank based optimization algorithm for fission criticality problems. - Carmela Scalone; Lukas Einkemmer; Jonas Kusch; R. J. McClarren (CoRR, 2024)

Should exponential integrators be used for advection-dominated problems? - Lukas Einkemmer; Trung Hau Hoang; Alexander Ostermann (CoRR, 2024)

A stable multiplicative dynamical low-rank discretization for the linear Boltzmann-BGK equation. - Lena Baumann; Lukas Einkemmer; Christian Klingenberg; Jonas Kusch (CoRR, 2024)

Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation. - Alec Dektor; Lukas Einkemmer (CoRR, 2024)

A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation. - Lukas Einkemmer; Julian Mangott; Martina Prugger (J. Comput. Phys., 2024)

Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su-Olson Problem. - Lena Baumann; Lukas Einkemmer; Christian Klingenberg; Jonas Kusch (SIAM J. Sci. Comput., 2024)

Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. - Marco Caliari; Fabio Cassini; Lukas Einkemmer; Alexander Ostermann (SIAM J. Sci. Comput., 2024)

A Semi-Lagrangian Discontinuous Galerkin Method for Drift-Kinetic Simulations on GPUs. - Lukas Einkemmer; Alexander Moriggl (SIAM J. Sci. Comput., 2024)

Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization. - Lukas Einkemmer; Qin Li 007; Li Wang 101; Yunan Yang (J. Comput. Phys., 2024)

Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation. - Lukas Einkemmer; Jingwei Hu; Jonas Kusch (SIAM J. Numer. Anal., 2024)

Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation. - Lukas Einkemmer (J. Comput. Phys., 2024)

Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes. - Lukas Einkemmer; Alexander Moriggl (Comput. Phys. Commun., 2025)

Asymptotic-preserving dynamical low-rank method for the stiff nonlinear Boltzmann equation. - Lukas Einkemmer; Jingwei Hu; Shiheng Zhang (J. Comput. Phys., 2025)

A review of low-rank methods for time-dependent kinetic simulations. - Lukas Einkemmer; Katharina Kormann; Jonas Kusch; Ryan G. McClarren; Jing-Mei Qiu (J. Comput. Phys., 2025)

Control of instability in a Vlasov-Poisson system through an external electric field. - Lukas Einkemmer; Qin Li 007; Clément Mouhot; Yukun Yue (J. Comput. Phys., 2025)

Reduced Augmentation Implicit Low-Rank (RAIL) Integrators for Advection-Diffusion and Fokker-Planck Models. - Joseph Nakao; Jing-Mei Qiu; Lukas Einkemmer (SIAM J. Sci. Comput., 2025)

LeXInt: GPU-accelerated exponential integrators package. - Pranab Jyoti Deka; Alexander Moriggl; Lukas Einkemmer (SoftwareX, 2025)

Automatic partitioning for the low-rank integration of stochastic Boolean reaction networks. - Lukas Einkemmer; Julian Mangott; Martina Prugger (CoRR, 2025)

An energy stable and conservative multiplicative dynamical low-rank discretization for the Su-Olson problem. - Lena Baumann; Lukas Einkemmer; Christian Klingenberg; Jonas Kusch (CoRR, 2025)

An initial-corrected splitting approach for convection-diffusion-reaction problems. - Thi Tam Dang; Lukas Einkemmer; Alexander Ostermann (CoRR, 2025)

A Reduced Augmentation Implicit Low-rank (RAIL) integrator for solving three-dimensional diffusion and advection-diffusion equations in the Tucker tensor format. - Joseph Nakao; Gianluca Ceruti; Lukas Einkemmer (CoRR, 2025)

On the convergence of split exponential integrators for semilinear parabolic problems. - Marco Caliari; Fabio Cassini; Lukas Einkemmer; Alexander Ostermann (CoRR, 2025)

An initial-boundary corrected splitting method for diffusion-reaction problems. - Thi Tam Dang; Lukas Einkemmer; Alexander Ostermann (CoRR, 2025)

A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit. - Gianluca Ceruti; Nicolas Crouseilles; Lukas Einkemmer (CoRR, 2025)

An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems. - Lena Baumann; Lukas Einkemmer; Christian Klingenberg; Jonas Kusch (CoRR, 2025)

A Multi-fidelity Adaptive Dynamical Low-Rank Based Optimization Algorithm for Fission Criticality Problems. - Carmela Scalone; Lukas Einkemmer; Jonas Kusch; Ryan G. McClarren (J. Sci. Comput., 2025)