28 citations · 73 across the 20 of their papers we have counts for
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physics.comp-ph2013★ 3 cited
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…
math.OC2013★ 2 cited
A Numerical Slow Manifold Approach to Model Reduction for Optimal Control of Multiple Time Scale ODE
Dirk Lebiedz, Marcel Rehberg
Time scale separation is a natural property of many control systems that can be ex- ploited, theoretically and numerically. We present a numerical scheme to solve optimal control p…
math.OC2013★ 13 cited
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…