Browsing Student Research Papers (Mathematics) by Title

Now showing items 10-13 of 13

The Partition Function and Ramanujan Congruences

Bucher, Eric (2010-04-27)

The study into specific properties of the partition function has been a rich topic for number theorists for many years. Much of the current work involving the arithmetic properties of the partition function and their see ...
Percolation and the bilevel lattice

Hunt, Jonathan (2012-05-30)

The paper reviews percolation and some of its important properties, particularly on the 2-D square lattice. A bilevel lattice is introduced, with a percolation model representing the spread of a forest fire according t ...
Polynomial Chaos Expansions for Random Ordinary Differential Equations

McKenzie, Brian (2012-01-06)

We consider numerical methods for finding approximate solutions to Ordinary Differential Equations (ODEs) with parameters distributed with some probability by the Generalized Polynomial Chaos (GPC) approach. In partic ...
Risk Management for Nonprofit Organizations

Chen, Li (2010-09-23)

We introduce a model for the surplus of nonprofit organizations (NPO). We assume two types of spending schemes for an NPO. Type I is a constant spending rate and Type II is a variable rate above and below a cut-off rese ...