In this chapter the state-of-the-art in data assimilation for high-dimensional highly nonlinear
systems is reviewed, and recent developments are highlighted. This knowledge is available …

We present a derivation of a stochastic model of Navier Stokes equations that relies on a
decomposition of the velocity fields into a differentiable drift component and a time …

Data assimilation (DA) has developed into an important method in Earth science research
due to its capability of combining model dynamics and observations. Among various DA …

In this paper, we propose a novel optical flow formulation for estimating two-dimensional
velocity fields from an image sequence depicting the evolution of a passive scalar …

A wavelet-based optical flow method for high-resolution velocimetry based on tracer particle
images is presented. The current optical flow estimation method (WOF-X) is designed for …

Optimal Transport is a well developed mathematical theory that defines robust metrics
between probability distributions. The computation of optimal displacements between …

Consider the class of Ensemble Square Root filtering algorithms for the numerical
approximation of the posterior distribution of nonlinear Markovian signals partially observed …

In this paper, we explore a dynamical formulation allowing to assimilate high-resolution data
in a large-scale fluid flow model. This large-scale formulation relies on a random modelling …

To avoid filter collapse, a new localized weighted ensemble Kalman filter (LWEnKF) is
presented. This filter is a nonlinear non‐Gaussian filter that combines some of the …

Prolonged basaltic effusive eruptions at high latitudes can have significant atmospheric and
environmental impacts, but can be challenging to observe in winter conditions. Here, we use …