A review of low-rank methods for time-dependent kinetic simulations
Time-dependent kinetic models are ubiquitous in computational science and engineering.
The underlying integro-differential equations in these models are high-dimensional …
The underlying integro-differential equations in these models are high-dimensional …
Automatic partitioning for the low-rank integration of stochastic Boolean reaction networks
L Einkemmer, J Mangott, M Prugger - arXiv preprint arXiv:2501.04157, 2025 - arxiv.org
Boolean reaction networks are an important tool in biochemistry for studying mechanisms in
the biological cell. However, the stochastic formulation of such networks requires the …
the biological cell. However, the stochastic formulation of such networks requires the …
Randomised methods for dynamical low-rank approximation
B Carrel - arXiv preprint arXiv:2410.17091, 2024 - arxiv.org
This paper introduces new dynamical low-rank (DLR) methods for solving large-scale matrix
differential equations, motivated by algorithms from randomised numerical linear algebra …
differential equations, motivated by algorithms from randomised numerical linear algebra …