40 citations · 44 across the 4 of their papers we have counts for
4 papers
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…
Coarse-graining the Dynamics of a Driven Interface in the Presence of Mobile Impurities: Effective Description via Diffusion Maps
Benjamin E. Sonday, Mikko Haataja, Ioannis G. Kevrekidis
Developing effective descriptions of the microscopic dynamics of many physical phenomena can both dramatically enhance their computational exploration and lead to a more fundamenta…