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math.NA2026
Preserving Structure in Variational Data Assimilation of Hyperbolic Conservation Laws via Regularization
Yao Xiao, Anne Gelb
Hyperbolic conservation laws pose a challenging setting for variational data assimilation, since the Gaussian assumption imposes a smoothness that smears jump discontinuities. A sp…
math.NA2022★ 7 cited
Sequential image recovery from noisy and under-sampled Fourier data
Yao Xiao, Jan Glaubitz, Anne Gelb +1
A new algorithm is developed to jointly recover a temporal sequence of images from noisy and under-sampled Fourier data. Specifically, we consider the case where each data set is m…