Quantum Furball - waveletshttps://quantumfurball.net/2004-10-25T00:00:00-04:00Now in convenient blog form!BSce Advanced Studies project: Using wavelet transforms to assist the solution of van der Waals forces2004-10-25T00:00:00-04:002004-10-25T00:00:00-04:00Brendon L. Higginstag:quantumfurball.net,2004-10-25:/bsce-advanced-studies-project-using-wavelet-transforms-to-assist-the-solution-of-van-der-waals-forces.html<p>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.</p>
<p>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 <a class="reference external" href="https://quantumfurball.net/files/Using_Wavelet_Transforms_to_Assist_the_Solution_of_van_der_Waals_Forces.pdf">here</a>.</p>
<p>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.</p>
<p>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 <a class="reference external" href="https://quantumfurball.net/files/Using_Wavelet_Transforms_to_Assist_the_Solution_of_van_der_Waals_Forces.pdf">here</a>.</p>