51 citations · 131 across the 11 of their papers we have counts for
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math.OC2021
Structure-Preserving Linear Quadratic Gaussian Balanced Truncation for Port-Hamiltonian Descriptor Systems
Tobias Breiten, Philipp Schulze
We present a new balancing-based structure-preserving model reduction technique for linear port-Hamiltonian descriptor systems. The proposed method relies on a modification of a se…
math.OC2021★ 1 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.NA2021★ 16 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…