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Full-Text Articles in Physical Sciences and Mathematics
Thermalization And Initial State-Recurrence In Discrete Kdv-Like Lattices, Garrett Taylor Nieddu
Thermalization And Initial State-Recurrence In Discrete Kdv-Like Lattices, Garrett Taylor Nieddu
Theses, Dissertations and Culminating Projects
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. …
Modeling The Curvature Of A Ferrofluid Interface Using A Height Function Method, Holly Timme
Modeling The Curvature Of A Ferrofluid Interface Using A Height Function Method, Holly Timme
Theses, Dissertations and Culminating Projects
The behavior of an interface embedded in a fluid is central to a wide range of biological, chemical, environmental and physical problems and engineering processes. Modeling the evolution of a fluid interface is thus a critical and important problem. In many instances, including two-phase (e.g. liquid-gas) flows, the interface is an internal boundary within a PDE model. A model of the interface properties and its evolution is then typically performed by numerical computation, within the framework of the PDE solution method, such as finite differences (FD). Volume of Fluid (VOF) is a simple FD based method which exhibits excellent volume …
The Persistence Of Infectious Diseases In Metapopulations, Jonathan Calvin Hayes
The Persistence Of Infectious Diseases In Metapopulations, Jonathan Calvin Hayes
Theses, Dissertations and Culminating Projects
Mathematical models provide a great deal of information about the dynamics of disease spread. In this paper, we use stochastic simulation to investigate spontaneous disease extinction and réintroduction in a SIR model. We begin by investigating path to extinction and time to extinction in single population models, and then expand to a multipopulation model linked with linear migration. We have found that in a single population model, it is more effective to use random pulse vaccinations less per year at a higher removal rate. We have expanded this result by developing a vaccination strategy giving one large, well timed pulse …