45 citations · 165 across the 20 of their papers we have counts for
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math.OC2016★ 30 cited
Space-time Galerkin POD with application in optimal control of semi-linear parabolic partial differential equations
Manuel Baumann, Peter Benner, Jan Heiland
In the context of Galerkin discretizations of a partial differential equation (PDE), the modes of the classical method of Proper Orthogonal Decomposition (POD) can be interpreted a…
math.DS2016★ 16 cited
Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based Feedback
Peter Benner, Jan Heiland
Many recent works on stabilization of nonlinear systems target the case of locally stabilizing an unstable steady state solutions against small perturbation. In this work we explic…
cs.MS2016★ 45 cited
Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software
Jörg Fehr, Jan Heiland, Christian Himpe +1
Over the recent years the importance of numerical experiments has gradually been more recognized. Nonetheless, sufficient documentation of how computational results have been obtai…