104 citations · 232 across the 18 of their papers we have counts for
3 papers · 1 filter
The Right Space for Dynamics: Numerics with Diffeomorphism Equivariance
Wolf-Juergen Beyn, Michail E. Kavousanakis, Yannis G. Kevrekidis
Among many (equivalent, via invertible transformations) representations of the evolution of a dynamical system, which one is to be preferred? Here we show how the use of infinite-d…
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…
Projective and Coarse Projective Integration for Problems with Continuous Symmetries
Michail E. Kavousanakis, Radek Erban, Andreas G. Boudouvis +2
Temporal integration of equations possessing continuous symmetries (e.g. systems with translational invariance associated with traveling solutions and scale invariance associated w…