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math.NA2018
On least squares problems with certain Vandermonde--Khatri--Rao structure with applications to DMD
Zlatko Drmač, Igor Mezić, Ryan Mohr
This paper proposes a new computational method for solving structured least squares problems that arise in the process of identification of coherent structures in fluid flows. It i…
math.NA2018
Data driven Koopman spectral analysis in Vandermonde-Cauchy form via the DFT: numerical method and theoretical insights
Zlatko Drmač, Igor Mezić, Ryan Mohr
The goals and contributions of this paper are twofold. It provides a new computational tool for data driven Koopman spectral analysis by taking up the formidable challenge to devel…
math.NA2017
Data driven modal decompositions: analysis and enhancements
Zlatko Drmač, Igor Mezić, Ryan Mohr
The Dynamic Mode Decomposition (DMD) is a tool of trade in computational data driven analysis of fluid flows. More generally, it is a computational device for Koopman spectral anal…