Filtering dynamical systems using observations of statistics

E Bach, T Colonius, I Scherl, A Stuart - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
We consider the problem of filtering dynamical systems, possibly stochastic, using
observations of statistics. Thus, the computational task is to estimate a time-evolving density …

Probabilistic data-driven turbulence closure modeling by assimilating statistics

S Ephrati - arxiv preprint arxiv:2408.14838, 2024 - arxiv.org
A framework for deriving probabilistic data-driven closure models is proposed for coarse-
grained numerical simulations of turbulence in statistically stationary state. The approach …