3 papers
math.NA2026
Accelerating an ensemble of variational data assimilations with randomized preconditioning
I. DaužickaitÄ, S. Gürol, M. Destouches +2
Ensembles of variational data assimilations (EDA) require solving systems of linear equations with iterative methods. The solution process can be accelerated using a limited memory…
math.NA2026
Block Alpha-Circulant Preconditioners for All-at-Once Diffusion-Based Covariance Operators
Jemima M. Tabeart, Selime Gürol, John W. Pearson +1
Covariance matrices are central to data assimilation and inverse methods derived from statistical estimation theory. Previous work has considered the application of an all-at-once…
math.NA2025
On the impact of observation error correlations in data assimilation, with application to along-track altimeter data
Olivier Goux, Anthony Weaver, Selime Gürol +2
Data assimilation involves estimating the state of a system by combining observations from various sources with a background estimate of the state. The weights given to the observa…