40 citations · 44 across the 4 of their papers we have counts for
3 papers · 1 filter
Noisy dynamic simulations in the presence of symmetry: data alignment and model reduction
Benjamin E. Sonday, Amit Singer, Ioannis G. Kevrekidis
We process snapshots of trajectories of evolution equations with intrinsic symmetries, and demonstrate the use of recently developed eigenvector-based techniques to successfully qu…
Manifold learning techniques and model reduction applied to dissipative PDEs
Benjamin E. Sonday, Amit Singer, C. William Gear +1
We link nonlinear manifold learning techniques for data analysis/compression with model reduction techniques for evolution equations with time scale separation. In particular, we d…
An approach for both the computation of coarse-scale steady state solutions and initialization on a slow manifold
Christophe Vandekerckhove, Benjamin Sonday, Alexei Makeev +2
We present a simple technique for the computation of coarse-scale steady states of dynamical systems with time scale separation in the form of a "wrapper" around a fine-scale simul…