3 papers
math.NA2026
Data assimilation for slightly compressible flow
Aytekin Ãıbık, Rui Fang
Continuous data assimilation (CDA) nudges observational data into governing equations to recover the underlying flow and improve predictions. Existing rigorous CDA analyses focus p…
math.NA2025
Modular data assimilation for flow prediction
Aytekin Ãıbık, 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 Ãibik, 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…