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math.OC2025
On the inadequacy of nudging data assimilation algorithms for non-dissipative systems
Edriss S. Titi, Collin Victor
In this work, we study the applicability of the Azouani-Olson-Titi (AOT) nudging algorithm for continuous data assimilation to evolutionary dynamical systems that are not dissipati…
math.OC2024
An Assessment of Ensemble Kalman Filter and Azouani-Olson-Titi Algorithms for Data Assimilation: A Comparative Study
Ning Ning, Collin Victor
Continuous data assimilation (CDA) is a method that continuously integrates observational data into a dynamical system to improve model accuracy in real-time. The AOT algorithm is…