7 citations · 28 across the 20 of their papers we have counts for
6 papers · 1 filter
Numerical methods for closed-loop systems with non-autonomous data
B. Baran, P. Benner, J. Saak +1
By computing a feedback control via the linear quadratic regulator (LQR) approach and simulating a non-linear non-autonomous closed-loop system using this feedback, we combine two…
Fast and Reliable Reduced-Order Models for Cardiac Electrophysiology
Sridhar Chellappa, Barış Cansız, Lihong Feng +2
Mathematical models of the human heart are increasingly playing a vital role in understanding the working mechanisms of the heart, both under healthy functioning and during disease…
Parameterized Interpolation of Passive Systems
Peter Benner, Pawan Goyal, Paul Van Dooren
We study the tangential interpolation problem for a passive transfer function in standard state-space form. We derive new interpolation conditions based on the computation of a def…
Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems
Süleyman Yildiz, Pawan Goyal, Peter Benner
This work discusses the model reduction problem for large-scale multi-symplectic PDEs with cubic invariants. For this, we present a linearly implicit global energy-preserving metho…
Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure
Sridhar Chellappa, Lihong Feng, Peter Benner
Accurate error estimation is crucial in model order reduction, both to obtain small reduced-order models and to certify their accuracy when deployed in downstream applications such…
Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems
Lihong Feng, Luigi Lombardi, Giulio Antonini +1
Model order reduction usually consists of two stages: the offline stage and the online stage. The offline stage is the expensive part that sometimes takes hours till the final redu…