BSce Advanced Studies project: Using wavelet transforms to assist the solution of van der Waals forces

During my undergraduate studies I was invited to join the “Advanced Studies” stream of my Bachelor of Science. This involved doing a few reports on assorted research topics, culminating in a final project as an introduction to participating in scientific research. I did my project under Prof. John Dobson, investigating the potential suitability of using wavelet transforms to enhance the speed of numerical solutions of van der Waals forces in solid materials.

I took several wavelet transform families and types, and examined the outcomes of their application to the matrix representations of the two operators involved in the force calculations. This was only a preliminary study, so it's uncertain how applicable the results ultimately are. That said, I found that certain wavelet transformations make the matrices less dense and, thus, possibly easier to solve. The PDF of my project report can be found here.


Comment to add? Send me a message: <brendon@quantumfurball.net>

Next →