Date of Award
12-2012
Document Type
Thesis
Degree Name
Master of Science (MS)
College/School
College of Science and Mathematics
Department/Program
Mathematical Sciences
Thesis Sponsor/Dissertation Chair/Project Chair
David Trubatch
Committee Member
Phillip Yecko
Committee Member
Eric Forgoston
Abstract
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.
File Format
Recommended Citation
Nieddu, Garrett Taylor, "Thermalization and Initial State-Recurrence in Discrete KdV-like Lattices" (2012). Theses, Dissertations and Culminating Projects. 932.
https://digitalcommons.montclair.edu/etd/932