Date of Award
Master of Science (MS)
College of Science and Mathematics
Thesis Sponsor/Dissertation Chair/Project Chair
Three discretizations of the Korteweg de-Vries equation are studied; convergence rate, initial state-recurrence, and the energy distribution of the three schemes are all considered. For each discrete scheme over 300 lattices with varying grid sizes were investigated, and the solutions were compared with other lattices from the same scheme, as well as solutions from the other two. It is found that the two schemes that are least accurate display the best recurrence at intermediate grid sizes, away from convergence. This is a notable result because the best recurrence is expected to be found in the most accurate, and converged lattices. It is also observed that there is no clear correlation between thermalization and initial staterecurrence strength.
Nieddu, Garrett Taylor, "Thermalization and Initial State-Recurrence in Discrete KdV-like Lattices" (2012). Theses, Dissertations and Culminating Projects. 932.