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math.NA2025
An Introduction to Solving the Least-Squares Problem in Variational Data Assimilation
I. Daužickaitė, M. A. Freitag, S. Gürol +4
Variational data assimilation is a technique for combining measured data with dynamical models. It is a key component of Earth system state estimation and is commonly used in weath…
math.NA2025
Efficient Dynamic Image Reconstruction with motion estimation
Toluwani Okunola, Mirjeta Pasha, Misha Kilmer +1
Dynamic inverse problems are challenging to solve due to the need to identify and incorporate appropriate regularization in both space and time. Moreover, the very large scale natu…
math.NA2023
Chebyshev HOPGD with sparse grid sampling for parameterized linear systems
Siobhán Correnty, Melina A. Freitag, Kirk M. Soodhalter
We consider approximating solutions to parameterized linear systems of the form . Here the matrix is nonsingular…