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

Develops and analyzes approximate methods of solving the Bayesian inverse problem for high-dimensional dynamical systems. After briefly reviewing mathematical foundations in probability and statistics ...

DA has become an important component of the methodology of ESS and has improved the observability and predictability of the Earth system. The rigorous and beautiful mathematical framework of DA ...