Boom and bust in continuous time evolving economic model

We show that a simple model of a spatially resolved evolving economic system, which has a steady state under simultaneous updating, shows stable oscillations in price when updated asynchronously. The oscillations arise from a gradual decline of the mean price due to competition among sellers competing for the same resource. This lowers profitability and hence population but is followed by a sharp rise as speculative sellers invade the large un-inhabited areas. This cycle then begins again.Comment: 7 pages, 9 figures, epjb style. New references. Section on avoiding boom and bust. Fix bibliograph

The Grand Challenge of Carbon Sequestration

This paper won a third place writing flag award in the collaborative category. Clayton Lawrence, Thomas Nguyen, Mitchell Tomazin, and Norberto Martinez, writing for Brandi DeMont 's ASE 333T class, " Engineering Communication ".DeMont, BrandiUndergraduate Studie

Validation and Analysis of Numerical Methods for Solving Fractional-Order Differential Equations

Fractional-order differential equations have been very effective in modeling the behavior of various phenomena that have been otherwise difficult to accurately simulate. A new class of predictor-corrector schemes for solving nonlinear fractional-order differential equations has been proposed with claims of both increased accuracy and decreased computational cost. The purpose of this research is to test and attempt to validate these claims through both an independent replication of the results reported for the new method, as well as a comparison against the performance of an existing standard. Additionally, an operational software package that implements this new method will result as a byproduct of this research. Independent simulations are run for this new method, and compared against the findings of this new method’s author. This research is broken down into three main areas of interest: (1) Independently develop software for the newly proposed and existing methods, (2) Conduct an error analysis on the methods’ order of accuracy, and (3) Conduct a computational cost analysis of the two methods in their pure form. This research has successfully created a tool for solving fractional-order differential equations with greater accuracy than the existing method, with replicated findings in regard to order of accuracy. The claims of decreased computational cost were neither confirmed or disproved, and require further study. The results of this research have not only increased the validity and usage-case understanding of the newly proposed method, but also raised new areas for future work with respect to optimization and run speed

Symbolism in communications

Thesis (M.S.)--Boston Universit