13 citations · 16 across the 2 of their papers we have counts for
4 papers
An optimization approach to kinetic model reduction for combustion chemistry
Dirk Lebiedz, Jochen Siehr
Model reduction methods are relevant when the computation time of a full convection-diffusion-reaction simulation based on detailed chemical reaction mechanisms is too large. In th…
A continuation method for the efficient solution of parametric optimization problems in kinetic model reduction
Dirk Lebiedz, Jochen Siehr
Model reduction methods often aim at an identification of slow invariant manifolds in the state space of dynamical systems modeled by ordinary differential equations. We present a…
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…
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…