Lukas Einkemmer

Orcid: 0000-0002-8798-2304

According to our database1, Lukas Einkemmer authored at least 73 papers between 2013 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

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

Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation.
SIAM J. Numer. Anal., February, 2024

Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization.
J. Comput. Phys., February, 2024

Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations.
SIAM J. Sci. Comput., 2024

A robust second-order low-rank BUG integrator based on the midpoint rule.
CoRR, 2024

2023
A robust and conservative dynamical low-rank algorithm.
J. Comput. Phys., July, 2023

Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large-scale GPU-equipped supercomputers.
Int. J. High Perform. Comput. Appl., March, 2023

LeXInt: Package for exponential integrators employing Leja interpolation.
SoftwareX, February, 2023

On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems.
SIAM J. Sci. Comput., February, 2023

A dynamical low-rank approach to solve the chemical master equation for biological reaction networks.
J. Comput. Phys., 2023

Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models.
CoRR, 2023

Conservation properties of the augmented basis update & Galerkin integrator for kinetic problems.
CoRR, 2023

LeXInt: GPU-accelerated Exponential Integrators package.
CoRR, 2023

A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation.
CoRR, 2023

Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays.
CoRR, 2023

Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem.
CoRR, 2023

Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations.
CoRR, 2023

2022
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions.
Numerische Mathematik, 2022

A <i>μ</i>-mode integrator for solving evolution equations in Kronecker form.
J. Comput. Phys., 2022

Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign.
Comput. Phys. Commun., 2022

Exponential methods for anisotropic diffusion.
CoRR, 2022

A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators.
CoRR, 2022

Efficient adaptive step size control for exponential integrators.
Comput. Math. Appl., 2022

2021
An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime.
SIAM J. Sci. Comput., 2021

Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit.
SIAM J. Numer. Anal., 2021

Unsupervised logic-based mechanism inference for network-driven biological processes.
PLoS Comput. Biol., 2021

A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation.
J. Comput. Phys., 2021

An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation.
J. Comput. Phys., 2021

An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs.
J. Comput. Phys., 2021

A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions.
J. Comput. Appl. Math., 2021

An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware.
Comput. Phys. Commun., 2021

Exponential Integrators for MHD: Matrix-free Leja interpolation and efficient adaptive time stepping.
CoRR, 2021

Dynamical low-rank approximation for Burgers' equation with uncertainty.
CoRR, 2021

A μ-mode integrator for solving evolution equations in Kronecker form.
CoRR, 2021

2020
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction.
J. Comput. Phys., 2020

Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations.
J. Comput. Phys., 2020

Semi-Lagrangian Vlasov simulation on GPUs.
Comput. Phys. Commun., 2020

2019
Performance Optimization and Modeling of Fine-Grained Irregular Communication in UPC.
Sci. Program., 2019

A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation.
SIAM J. Sci. Comput., 2019

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

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

Reproducibility, accuracy and performance of the Feltor code and library on parallel computer architectures.
Comput. Phys. Commun., 2019

Exponential methods for solving hyperbolic problems with application to kinetic equations.
CoRR, 2019

Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation.
CoRR, 2019

2018
A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation.
SIAM J. Sci. Comput., 2018

Streamline integration as a method for structured grid generation in X-point geometry.
J. Comput. Phys., 2018

An exponential integrator for the drift-kinetic model.
Comput. Phys. Commun., 2018

Magnus integrators on multicore CPUs and GPUs.
Comput. Phys. Commun., 2018

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

A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation.
Appl. Math. Comput., 2018

Efficient boundary corrected Strang splitting.
Appl. Math. Comput., 2018

2017
Streamline integration as a method for two-dimensional elliptic grid generation.
J. Comput. Phys., 2017

On the performance of exponential integrators for problems in magnetohydrodynamics.
J. Comput. Phys., 2017

2016
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions.
SIAM J. Sci. Comput., 2016

Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver.
Parallel Comput., 2016

A resistive magnetohydrodynamics solver using modern C++ and the Boost library.
Comput. Phys. Commun., 2016

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

An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit.
Comput. Phys. Commun., 2016

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

A mixed precision semi-Lagrangian algorithm and its performance on accelerators.
Proceedings of the International Conference on High Performance Computing & Simulation, 2016

2015
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions.
SIAM J. Sci. Comput., 2015

A splitting approach for the Kadomtsev-Petviashvili equation.
J. Comput. Phys., 2015

Hamiltonian splitting for the Vlasov-Maxwell equations.
J. Comput. Phys., 2015

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

On the error propagation of semi-Lagrange and Fourier methods for advection problems.
Comput. Math. Appl., 2015

2014
Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations.
SIAM J. Numer. Anal., 2014

Convergence Analysis of Strang Splitting for Vlasov-Type Equations.
SIAM J. Numer. Anal., 2014

An almost symmetric Strang splitting scheme for the construction of high order composition methods.
J. Comput. Appl. Math., 2014

A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations.
Comput. Phys. Commun., 2014

A modern resistive magnetohydrodynamics solver using C++ and the Boost library.
CoRR, 2014

A Hamiltonian splitting for the Vlasov-Maxwell system.
CoRR, 2014

An almost symmetric Strang splitting scheme for nonlinear evolution equations.
Comput. Math. Appl., 2014

2013
Exponential integrators on graphic processing units.
Proceedings of the International Conference on High Performance Computing & Simulation, 2013


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