Lukas Einkemmer

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151 publications
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Gianluca Ceruti
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research

∙ 09/15/2023

A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation

It is increasingly realized that taking stochastic effects into account ...

0 Lukas Einkemmer, et al. ∙

research

∙ 07/23/2023

Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays

Anisotropic diffusion is imperative in understanding cosmic ray diffusio...

0 Pranab J. Deka, et al. ∙

research

∙ 07/14/2023

Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem

Computational methods for thermal radiative transfer problems exhibit hi...

0 Lena Baumann, et al. ∙

research

∙ 06/30/2023

Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation

We propose a dynamical low-rank algorithm for a gyrokinetic model that i...

0 Lukas Einkemmer, et al. ∙

research

∙ 05/29/2023

Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization

Fusion energy offers the potential for the generation of clean, safe, an...

0 Lukas Einkemmer, et al. ∙

research

∙ 03/28/2023

Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations

In this paper we consider an approach to improve the performance of expo...

0 Marco Caliari, et al. ∙

research

∙ 12/22/2022

Asymptotic–preserving and energy stable dynamical low-rank approximation

Radiation transport problems are posed in a high-dimensional phase space...

0 Lukas Einkemmer, et al. ∙

research

∙ 11/16/2022

Exponential methods for anisotropic diffusion

The anisotropic diffusion equation is of crucial importance in understan...

0 Pranab J. Deka, et al. ∙

research

∙ 11/16/2022

A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators

Krylov-based algorithms have long been preferred to compute the matrix e...

0 Pranab J. Deka, et al. ∙

research

∙ 08/17/2022

LeXInt: Package for Exponential Integrators employing Leja interpolation

We present a publicly available software for exponential integrators tha...

0 Pranab J. Deka, et al. ∙

research

∙ 06/19/2022

A robust and conservative dynamical low-rank algorithm

Dynamical low-rank approximation, as has been demonstrated recently, can...

0 Lukas Einkemmer, et al. ∙

research

∙ 10/26/2021

Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign

Running kinetic simulations using grid-based methods is extremely expens...

0 Fabio Cassini, et al. ∙

research

∙ 08/31/2021

Exponential Integrators for MHD: Matrix-free Leja interpolation and efficient adaptive time stepping

We propose a novel algorithm for the temporal integration of the magneto...

0 Pranab Deka, et al. ∙

research

∙ 07/15/2021

On the stability of robust dynamical low-rank approximations for hyperbolic problems

The dynamical low-rank approximation (DLRA) is used to treat high-dimens...

0 Jonas Kusch, et al. ∙

research

∙ 05/10/2021

Dynamical low-rank approximation for Burgers' equation with uncertainty

Quantifying uncertainties in hyperbolic equations is a source of several...

0 Jonas Kusch, et al. ∙

research

∙ 03/10/2021

An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware

Recently a splitting approach has been presented for the simulation of s...

0 Lukas Einkemmer, et al. ∙

research

∙ 03/02/2021

A μ-mode integrator for solving evolution equations in Kronecker form

In this paper, we propose a μ-mode integrator for computing the solution...

0 Marco Caliari, et al. ∙

research

∙ 02/04/2021

Efficient adaptive step size control for exponential integrators

Traditional step size controllers make the tacit assumption that the cos...

0 Pranab Jyoti Deka, et al. ∙

research

∙ 01/29/2021

A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation

The primary challenge in solving kinetic equations, such as the Vlasov e...

0 Lukas Einkemmer, et al. ∙

research

∙ 01/18/2021

An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime

It has recently been demonstrated that dynamical low-rank algorithms can...

0 Lukas Einkemmer, et al. ∙

research

∙ 08/26/2020

An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs

Rational exponential integrators (REXI) are a class of numerical methods...

0 Marco Caliari, et al. ∙

research

∙ 06/09/2020

A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions

The present work proposes a second-order time splitting scheme for a lin...

0 Lukas Einkemmer, et al. ∙

research

∙ 05/13/2020

An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation

We introduce a dynamical low-rank method to reduce the computational com...

0 Lukas Einkemmer, et al. ∙

research

∙ 12/29/2019

Performance optimization and modeling of fine-grained irregular communication in UPC

The UPC programming language offers parallelism via logically partitione...

0 Jérémie Lagravière, et al. ∙

research

∙ 10/28/2019

Exponential methods for solving hyperbolic problems with application to kinetic equations

The efficient numerical solution of many kinetic models in plasma physic...

0 Nicolas Crouseilles, et al. ∙

research

∙ 07/18/2019

Semi-Lagrangian Vlasov simulation on GPUs

In this paper, our goal is to efficiently solve the Vlasov equation on G...

0 Lukas Einkemmer, et al. ∙

research

∙ 07/09/2019

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

Dynamical low-rank algorithm are a class of numerical methods that compu...

0 Zhiyan Ding, et al. ∙

research

∙ 03/06/2018

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

The purpose of the present paper is to compare two semi-Lagrangian metho...

0 Lukas Einkemmer, et al. ∙

research

∙ 03/22/2016

A mixed precision semi-Lagrangian algorithm and its performance on accelerators

In this paper we propose a mixed precision algorithm in the context of t...

0 Lukas Einkemmer, et al. ∙

research

∙ 01/14/2016

Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver

In this paper we evaluate the performance of Unified Parallel C (which i...

0 Martina Prugger, et al. ∙

research

∙ 11/06/2015

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

To predict the properties of fluid flow over a solid geometry is an impo...

0 Lukas Einkemmer, et al. ∙

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