710 citations · 2.3k across the 49 of their papers we have counts for
Showing math.DSShow all
2 papers · 1 filter
math.DS2026
Data-driven linear analysis of dynamical systems via nonlinearity-subtracted dynamic mode decomposition
Benjamin Herrmann, Katherine Cao, Steven L. Brunton +1
The Dynamic Mode Decomposition (DMD) has been consolidated as a basic tool for data-driven analysis of dynamical systems, allowing simultaneous identification of coherent structure…
math.DS2021★ 3 cited
Physics-informed dynamic mode decomposition (piDMD)
Peter J. Baddoo, Benjamin Herrmann, Beverley J. McKeon +2
In this work, we demonstrate how physical principles -- such as symmetries, invariances, and conservation laws -- can be integrated into the dynamic mode decomposition (DMD). DMD i…