Franz Hamilton, George Mason University


Parameter Estimation in a System of Differential Equations

Abstract: Given a set of data points and a prescribed system of differential equations used for modeling an event, the objective is predicting future values utilizing these differential equations. However, these differential equations often have unknown parameters. The challenge becomes figuring out the value the parameter(s) should be so that the differential equations reflect the data points, allowing future predictions to be made. We explore this concept using the shooting method along with the Gauss-Newton method.

Mentor: Tim Sauer (George Mason University)