We apply the postprocessing Galerkin method to a recently introduced continuous data assimilation (downscaling) algorithm for obtaining a numerical approximation of the solution of the two-dimensional ...

Data assimilation in fluid dynamics is a rapidly expanding field that endeavours to enhance the predictive capability of numerical models by integrating observational data into the computational ...

Data assimilation is an important mathematical discipline in earth sciences, particularly in numerical weather prediction (NWP). However, conventional data assimilation methods require significant ...