3 papers
math.NA2026
On residual bounds of the EDMD solution to the eigenvalue problem for the Koopman operator and backward shadowing stability of the EDMD/KMD
Zlatko DrmaÄ, Zlatko Drmač
This paper introduces shadowing theory based backward stability assessment of data driven computational analysis of discrete dynamical systems in the framework of the Koopman compo…
math.NA2026
New Robust Streaming DMD with Forecasting
Zlatko DrmaÄ, Ela Äimoti
The Dynamic Mode Decomposition (DMD) and the more general Extended DMD (EDMD) are powerful tools for computational analysis of dynamical systems in data-driven scenarios. They are…
math.NA2025
An Introductory Guide to Koopman Learning
Matthew J. Colbrook, Zlatko DrmaÄ, Andrew Horning
Koopman operators provide a linear framework for data-driven analyses of nonlinear dynamical systems, but their infinite-dimensional nature presents major computational challenges.…