27 citations · 66 across the 12 of their papers we have counts for
4 papers · 1 filter
Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning
Dimitrios G. Patsatzis, Gianluca Fabiani, Lucia Russo +1
We present a physics-informed machine-learning (PIML) approach for the approximation of slow invariant manifolds (SIMs) of singularly perturbed systems, providing functionals in an…
Data-driven Control of Agent-based Models: an Equation/Variable-free Machine Learning Approach
Dimitrios G. Patsatzis, Lucia Russo, Ioannis G. Kevrekidis +1
We present an Equation/Variable free machine learning (EVFML) framework for the control of the collective dynamics of complex/multiscale systems modelled via microscopic/agent-base…
A Numerical Method for the Parametrization of Stable and Unstable Manifolds of Microscopic Simulators
Constantinos Siettos, Lucia Russo
We address a numerical methodology for the computation of coarse-grained stable and unstable manifolds of saddle equilibria/stationary states of multiscale/stochastic systems for w…
A timestepper approach for the systematic bifurcation and stability analysis of polymer extrusion dynamics
M. E. Kavousanakis, L. Russo, C. I. Siettos +2
We discuss how matrix-free/timestepper algorithms can efficiently be used with dynamic non-Newtonian fluid mechanics simulators in performing systematic stability/bifurcation analy…