This book places data assimilation (DA) into the broader context of inverse problems and the
theory, methods, and algorithms that are used for their solution. It strives to provide a …

Greenland ice sheet mass loss continues to accelerate as global temperatures increase.
The surface albedo of the ice sheet determines the amount of absorbed solar energy, which …

Accurate dynamical models of the Antarctic ice sheet with carefully specified initial
conditions and well‐calibrated rheological parameters are needed to forecast global sea …

A digital twin (DT) is a numerical model (in silico) of a system that runs alongside its physical
counterpart and exchanges (bidirectional) information with it. The digital twin, once suitably …

Short-term glacier variations can be important for water supplies or hydropower production,
and glaciers are important indicators of climate change. This is why the interest in near-real …

Marine-based sectors of the Antarctic Ice Sheet are increasingly contributing to sea level
rise. The basal conditions exert an important control on the ice dynamics and can be …

Inverse problems constrained by partial differential equations (PDEs) play a critical role in
model development and calibration. In many applications, there are multiple uncertain …

Ice flow models are now routinely used to forecast the ice sheets' contribution to 21st century
sea-level rise. For such short term simulations, the model response is greatly affected by the …

Data assimilation is an emerging and powerful tool towards real-time flame front monitoring
for wildland fire applications. The key idea is to regularly update the state and/or parameters …

We implement a data assimilation framework for integrating ice surface and terminus
position observations into a numerical ice-flow model. The model uses the well-known …