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Cited article:

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Variational Data Assimilation and its Decoupled Iterative Numerical Algorithms for Stokes–Darcy Model

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SIAM Journal on Scientific Computing 46 (2) S142 (2024)
https://doi.org/10.1137/22M1492994

Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation

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Numerical solution to the problem of variational assimilation of operational observational data on the ocean surface temperature

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Izvestiya, Atmospheric and Oceanic Physics 45 (1) 69 (2009)
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On the correction of perturbations due to data assimilation in ocean circulation models

Konstantin P. Belyaev and Clemente A.S. Tanajura
Applied Mathematical Modelling 29 (7) 690 (2005)
https://doi.org/10.1016/j.apm.2004.10.001