activity
20202024
most citedAn accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs

14 citations · 14 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2024

Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes

Lukas Einkemmer, Alexander Moriggl

In this paper we propose a semi-Lagrangian discontinuous Galerkin solver for the simulation of the scrape off layer for an electron-ion plasma. We use a time adaptive velocity spac…

math.NA2023

LeXInt: GPU-accelerated Exponential Integrators package

Pranab J Deka, Alexander Moriggl, Lukas Einkemmer

We present an open-source CUDA-based package that consists of a compilation of exponential integrators where the action of the matrix exponential or the functions on a vector…

physics.comp-ph2022

A semi-Lagrangian discontinuous Galerkin method for drift-kinetic simulations on GPUs

Lukas Einkemmer, Alexander Moriggl

In this paper, we demonstrate the efficiency of using semi-Lagrangian discontinuous Galerkin methods to solve the drift-kinetic equation using graphic processing units (GPUs). In t…

physics.comp-ph2021

Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large scale GPU equipped supercomputer

Lukas Einkemmer, Alexander Moriggl

Running kinetic plasma physics simulations using grid-based solvers is very demanding both in terms of memory as well as computational cost. This is primarily due to the up to six-…

math.NA2020★ 14 cited

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

Marco Caliari, Lukas Einkemmer, Alexander Moriggl +1

Rational exponential integrators (REXI) are a class of numerical methods that are well suited for the time integration of linear partial differential equations with imaginary eigen…