Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Lukas Einkemmer"'
Publikováno v:
SoftwareX, Vol 21, Iss , Pp 101302- (2023)
We present a publicly available software for exponential integrators that computes the φl(z)functions using polynomial interpolation. The interpolation method at Leja points have recently been shown to be competitive with the traditionally-used Kryl
Externí odkaz:
https://doaj.org/article/0842eebf1b4449d98520980d3126b571
Autor:
Martina Prugger, Lukas Einkemmer, Samantha P Beik, Perry T Wasdin, Leonard A Harris, Carlos F Lopez
Publikováno v:
PLoS Computational Biology, Vol 17, Iss 6, p e1009035 (2021)
Modern analytical techniques enable researchers to collect data about cellular states, before and after perturbations. These states can be characterized using analytical techniques, but the inference of regulatory interactions that explain and predic
Externí odkaz:
https://doaj.org/article/e3bf50ee75e745d68f3898b25e571aef
Autor:
Lukas Einkemmer
Publikováno v:
PLoS ONE, Vol 12, Iss 6, p e0178156 (2017)
To optimize the geometry of airfoils for a specific application is an important engineering problem. In this context genetic algorithms have enjoyed some success as they are able to explore the search space without getting stuck in local optima. Howe
Externí odkaz:
https://doaj.org/article/94faa8461f6e4a09bd437293acb3b3b5
Publikováno v:
SIAM Journal on Scientific Computing. 45:A1-A24
The dynamical low-rank approximation (DLRA) is used to treat high-dimensional problems that arise in such diverse fields as kinetic transport and uncertainty quantification. Even though it is well known that certain spatial and temporal discretizatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::647a5039d8b74e4ecb021e02aad94f97
https://doi.org/10.1137/21m1446289
https://doi.org/10.1137/21m1446289
Publikováno v:
Numerische Mathematik. 150:105-135
The present work proposes a second-order time splitting scheme for a linear dispersive equation with a variable advection coefficient subject to transparent boundary conditions. For its spatial discretization, a dual Petrov–Galerkin method is consi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48bb9798dd1f28d79413621e3f1c9fb1
https://doi.org/10.1007/s00211-021-01252-1
https://doi.org/10.1007/s00211-021-01252-1
A dynamical low-rank approach to solve the chemical master equation for biological reaction networks
Solving the chemical master equation is an indispensable tool in understanding the behavior of biological and chemical systems. In particular, it is increasingly recognized that commonly used ODE models are not able to capture the stochastic nature o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4dd72ac07163b6118d9b26a94478b489
https://doi.org/10.1101/2022.05.04.490585
https://doi.org/10.1101/2022.05.04.490585
Publikováno v:
SSRN Electronic Journal.
We present a publicly available software for exponential integrators that computes the $\varphi_l(z)$ functions using polynomial interpolation. The interpolation method at Leja points have recently been shown to be competitive with the traditionally-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3308e2e25fca5b0828801818e6fa86bd
https://doi.org/10.2139/ssrn.4243380
https://doi.org/10.2139/ssrn.4243380
In this paper, we propose a $\mu$-mode integrator for computing the solution of stiff evolution equations. The integrator is based on a $d$-dimensional splitting approach and uses exact (usually precomputed) one-dimensional matrix exponentials. We sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12d3b65df756fb66b26b5d8807fa4723
http://hdl.handle.net/11562/1056996
http://hdl.handle.net/11562/1056996
Autor:
Lukas Einkemmer, Alexander Moriggl
Publikováno v:
The International Journal of High Performance Computing Applications. :109434202211375
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-dimensional phase space and the associated unfavorable scaling of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc8669b731746fe8c129ac3e9a536357
https://doi.org/10.1177/10943420221137599
https://doi.org/10.1177/10943420221137599
Autor:
Lukas Einkemmer, Fabio Cassini
Running kinetic simulations using grid-based methods is extremely expensive due to the up to six-dimensional phase space. Recently, it has been shown that dynamical low-rank algorithms can drastically reduce the required computational effort, while s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2747195e66a551e094a96cee88cd4354
http://arxiv.org/abs/2110.13481
http://arxiv.org/abs/2110.13481