Dia: Dimecres 18 de febrer de 2026
Lloc: Aula 004, Facultat de Matemàtiques i Estadística, UPC. Pau Gargallo,14 BCN.
A càrrec de: José M. Vega, Universidad Politécnica de Madrid
Títol: Higher order dynamic mode decomposition-like methods
Resum: Higher order dynamic mode decomposition (HODMD) is a recent postprocessing method, able to efficiently uncover the structure of dynamical systems outcomes exhibiting exponential growth/decay and/or periodic/quasiperiodic oscillations. It is an improvement/extension of a former method developed in fluid dynamics, called here standard dynamic mode decomposition (DMD), which does not always give the correct results for reasons that will be clarified in this talk.
An extension of HODMD will also be briefly described that is called spatiotemporal Koopman decomposition (STKD), obtained by applying HODMD in both space and time, for extended dynamical systems governed by PDEs. Such method uncovers the structure of pure and modulated traveling waves by analysing the involved frequencies and wavenumbers, which are computed with great accuracy.
Ideas and concepts in HODMD and STKD will be illustrated in toy models and tested using both, numerical and experimental data, coming from systems of scientific and technological interest.
Last updated: Sat Feb 28 15:20:29 2026