This is my dissertation for my BSc in Mathematics at the University of St Andrews, titled Time-splitting spectral methods for the Schrödinger equation in the semi-classical regime.
I looked at a specific class of numerical integrators for the Schrödinger equation, proved some convergence/stability results, and confirmed these results computationally.
Click here for the entire project, or click here for some very out-of-context graphs.
I enjoyed this project so much that it convinced me to go through with a master's. Shout out to my supervisor Irene Kyza for pushing me to create something I'm proud of.
