MSc Defences Spring 2025

See the list of MSc defences at DIKU this spring. The list will be updated continuously.

Information about the thesis, supervisor, location of the defence, etc. can be found on the respective events below.

Mathematics

 

Name of student(s)  

Valdemar Skou Knudsen

Study Programme  

Mathematics

Title  

Differentiable simulation and integration of neural networks in Richards equation-based modelling

Abstract  

In this thesis, we consider the Richards equation for modelling water
movement in unsaturated soils. An expository discussion and derivation
of the standard base-line numerical scheme comprises the first chapter,
with a focus on test scenarios and theoretical properties useful in model
validation. We then turn to a shorter chapter on the theoretical framework
behind exciting new developments in differentiable physics and integration of neural networks in process-based modelling. A novel minimization
problem combining a "solver-in-the-loop" approach and absolute constants
in the model is defined for the Richards equation. Further experimentation on this model is postponed for future work, due to computational
constraints.

Supervisor(s)  

Oswin Krause

External examiner(s)  

Anders Stockmarr

Date and time  

13.03.2025 10:00 TBC

Room  

TBD