28 citations · 73 across the 20 of their papers we have counts for
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math.DS2009★ 17 cited
A variational principle for computing slow invariant manifolds in dissipative dynamical systems
Dirk Lebiedz, Jochen Siehr, Jonas Unger
A key issue in dimension reduction of dissipative dynamical systems with spectral gaps is the identification of slow invariant manifolds. We present theoretical and numerical resul…
math.DS2009★ 28 cited
Minimal Curvature Trajectories: Riemannian Geometry Concepts for Model Reduction in Chemical Kinetics
Dirk Lebiedz, Volkmar Reinhardt, Jochen Siehr
In dissipative ordinary differential equation systems different time scales cause anisotropic phase volume contraction along solution trajectories. Model reduction methods exploit…