16 citations · 20 across the 3 of their papers we have counts for
5 papers
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…
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…
Error bounds for port-Hamiltonian model and controller reduction based on system balancing
Tobias Breiten, Riccardo Morandin, Philipp Schulze
We study linear quadratic Gaussian (LQG) control design for linear port-Hamiltonian systems. To this end, we exploit the freedom in choosing the weighting matrices and propose a sp…
Projection-Based Model Reduction with Dynamically Transformed Modes
Felix Black, Philipp Schulze, Benjamin Unger
We propose a new model reduction framework for problems that exhibit transport phenomena. As in the moving finite element method (MFEM), our method employs time-dependent transform…
From Time-Domain Data to Low-Dimensional Structured Models
Elliot Fosong, Philipp Schulze, Benjamin Unger
We present a framework for constructing a structured realization of a linear time-invariant dynamical system solely from a discrete sampling of an input and output trajectory of th…