Understanding emergence in language models
Mathematics
Alan Thanickal
2024
Matthias Englert, Ranko Lazic
Finite Difference Methods in Aero-Acoustic
Mathematics
One major problem faced by engineers developing jet engines is adhering to stringent aircraft noise regulations. Engines need to be designed to minimise as much noise as possible. To solve such a problem, one cannot find the optimum conditions with pen and paper, and instead
must produce computer simulations. Current techniques used in these problems can perform poorly for waves of rapidly varying amplitude (how loud the sound waves are).
My research aims to find the optimum schemes while minimising the computational cost and preserving
the correct amplitude for aerodynamically generated noise. This will involve a numerical technique called finite differences, which is used for solving partial differential equations modelling the flow of the sound waves.
Edward Holloway
2023
Base Sizes of Imprimitive Actions of the Alternating Groups
Mathematics
Dan Shomron
2023