90 citations · 1k across the 88 of their papers we have counts for
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Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models
Joseph Nakao, Jing-Mei Qiu, Lukas Einkemmer
This paper introduces a novel computational approach termed the Reduced Augmentation Implicit Low-rank (RAIL) method by investigating two predominant research directions in low-ran…
Construction of high-order conservative basis-update and Galerkin dynamical low-rank integrators
Lukas Einkemmer, Jonas Kusch, Steffen Schotthöfer
Numerical simulations of kinetic problems can become prohibitively expensive due to their large memory requirements and computational costs. A method that has proven to successfull…
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…
A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation
Lukas Einkemmer, Julian Mangott, Martina Prugger
It is increasingly realized that taking stochastic effects into account is important in order to study biological cells. However, the corresponding mathematical formulation, the ch…
Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays
Pranab J. Deka, Ralf Kissmann, Lukas Einkemmer
Anisotropic diffusion is imperative in understanding cosmic ray diffusion across the Galaxy, the heliosphere, and the interplay of cosmic rays with the Galactic magnetic field. Thi…
Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem
Lena Baumann, Lukas Einkemmer, Christian Klingenberg +1
Computational methods for thermal radiative transfer problems exhibit high computational costs and a prohibitive memory footprint when the spatial and directional domains are finel…