3 papers
math.NA2025
Modular data assimilation for flow prediction
Aytekin Çıbık, Rui Fang, William Layton
This report develops several modular, 2-step realizations (inspired by Kalman filter algorithms) of nudging-based data assimilation $$Step \ 1 \quad \frac{\widetilde {v}^{n+1}-v^{n…
math.NA2025
Data assimilation with model errors
Aytekin Çibik, Rui Fang, William Layton +1
Nudging is a data assimilation method amenable to both analysis and implementation. It also has the (reported) advantage of being insensitive to model errors compared to other assi…
math.NA2024
Adaptive Parameter Selection in Nudging Based Data Assimilation
Aytekin Çıbık, Rui Fang, William Layton +1
Data assimilation combines (imperfect) knowledge of a flow's physical laws with (noisy, time-lagged, and otherwise imperfect) observations to produce a more accurate prediction of…