3 papers
math.DS2021
Modern Koopman Theory for Dynamical Systems
Steven L. Brunton, Marko Budišić, Eurika Kaiser +1
The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and data science. First-principles derivations and asymp…
math.DS2021
Model and Data Reduction for Data Assimilation: Particle Filters Employing Projected Forecasts and Data with Application to a Shallow Water Model
Aishah Albarakati, Marko Budišić, Rose Crocker +6
The understanding of nonlinear, high dimensional flows, e.g, atmospheric and ocean flows, is critical to address the impacts of global climate change. Data Assimilation techniques…
physics.flu-dyn2019
Using braids to quantify interface growth and coherence in a rotor-oscillator flow
Margaux Filippi, Marko Budisic, Michael R. Allshouse +3
The growth rate of material interfaces is an important proxy for mixing and reaction rates in fluid dynamics, and can also be used to identify regions of coherence. Estimating such…