Between May 2023 and August 2025 I was a Postdoctoral Research Fellow in Theoretical and Computational Acoustics within BUG. My work focused on adapting the k-space method, through the k-wave toolbox, considering mathematical models and analysis.

I have since moved to the School of Mathematic Sciences at the University of Nottingham for another postdoctoral position.

My work while in the group focused primarily on the computation of the fractional time derivative within fractional loss operators in the first order waves equations. Adapting a method to be applied alongside k-wave for further analytic comparisons. This methodology allows for specially varying absorption power-laws with an improved accuracy for the size of time stepping, but an increased computational cost. This work was presented as part of the ASA spring Meeting 2024 Ottawa conference. This work has been published here.

Moving away from this work I have researched how we may adjust the finite difference time stepping procedure, and k-space correction, considering no-standard finite difference methods, and the solution basic of the linearised wave equation such that a variable time step may be considered. This work is available here.

Additional work has be completed on how general shaped boundary conditions may be imposed onto a uniform grid without staircasing effects, building off of similar work completed for sources within BUG.

All of this work and other aspects have been considered or included in the construction of k-wave-ii. Which is yet to be released.

In addition to this I assisted in the teaching of the ENGF0003: Mathematical Modeling and Analysis 1 for the Medical Physics and Biomedical Engineering Department. This was completed in academic years 2023/24 and 2024/25.

Finally, I qualified as a mental health first aider, with MHFA England while in the group.