90 citations · 1k across the 88 of their papers we have counts for
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Asymptotic--preserving and energy stable dynamical low-rank approximation
Lukas Einkemmer, Jingwei Hu, Jonas Kusch
Radiation transport problems are posed in a high-dimensional phase space, limiting the use of finely resolved numerical simulations. An emerging tool to efficiently reduce computat…
A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators
Pranab J. Deka, Mayya Tokman, Lukas Einkemmer
Krylov-based algorithms have long been preferred to compute the matrix exponential and exponential-like functions appearing in exponential integrators. Of late, direct polynomial i…
LeXInt: Package for Exponential Integrators employing Leja interpolation
Pranab J. Deka, Lukas Einkemmer, Mayya Tokman
We present a publicly available software for exponential integrators that computes the functions using polynomial interpolation. The interpolation method at Leja points ha…
A robust and conservative dynamical low-rank algorithm
Lukas Einkemmer, Alexander Ostermann, Carmen Scalone
Dynamical low-rank approximation, as has been demonstrated recently, can be extremely efficient in solving kinetic equations. However, a major deficiency is that they do not preser…