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physics.comp-ph2010★ 4 cited
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…
physics.comp-ph2010
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…