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math.OC2023
Analysis of Four-Dimensional Variational Data Assimilation Problems in Low Regularity Spaces
Paula Castro, Juan Carlos De los Reyes, Ira Neitzel
We carry out a rigorous analysis of four-dimensional variational data assimilation (-VAR) problems for linear and semilinear parabolic partial differential equations. Continuit…
math.OC2018
A bilevel learning approach for optimal observation placement in variational data assimilation
Paula Castro, Juan Carlos De los Reyes
In this paper we propose a bilevel optimization approach for the placement of space and time observations in variational data assimilation problems. Within the framework of supervi…