activity
20182021
most citedEfficient Wildland Fire Simulation via Nonlinear Model Order Reduction

16 citations · 22 across the 6 of their papers we have counts for

collaborators

13 papers

math.OC20212 cited

Physics-informed Neural Networks-based Model Predictive Control for Multi-link Manipulators

Jonas Nicodemus, Jonas Kneifl, Jörg Fehr +1

We discuss nonlinear model predictive control (NMPC) for multi-body dynamics via physics-informed machine learning methods. Physics-informed neural networks (PINNs) are a promising…

math.NA2021

Identification of linear time-invariant systems with Dynamic Mode Decomposition

Jan Heiland, Benjamin Unger

Dynamic mode decomposition (DMD) is a popular data-driven framework to extract linear dynamics from complex high-dimensional systems. In this work, we study the system identificati…

math.OC20211 cited

Decomposition of flow data via gradient-based transport optimization

Felix Black, Philipp Schulze, Benjamin Unger

We study an optimization problem related to the approximation of given data by a linear combination of transformed modes. In the simplest case, the optimization problem reduces to…

math.NA202116 cited

Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction

Felix Black, Philipp Schulze, Benjamin Unger

We propose a new hyper-reduction method for a recently introduced nonlinear model reduction framework based on dynamically transformed basis functions and especially well-suited fo…

math.NA2021

Parametric model reduction via rational interpolation along parameters

Ion Victor Gosea, Serkan Gugercin, Benjamin Unger

We present a novel projection-based model reduction framework for parametric linear time-invariant systems that allows interpolating the transfer function at a given frequency poin…

math.DS2021

Passivity preserving model reduction via spectral factorization

Tobias Breiten, Benjamin Unger

We present a novel model-order reduction (MOR) method for linear time-invariant systems that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonia…