Research

Numerical Methods, Dynamical Systems, Meteorology

An essential element in the study of applied mathematics is the development of computational strategies for solving nonlinear equations. Frequently such equations are embedded in larger problems, e.g. solving either two point boundary value problems or free boundary problems.

In their simplest form, nonlinear equations are solved using iterative methods. Within this context they can be viewed as dynamical systems and may exhibit chaos, sensitivity to initial conditions, and the like.

A component of Professor Curry's research is concerned with both the success and failure of iterative methods for solving equations.

Additionally, Professor Curry's research is concerned with mathematical questions which are of interest to Atmospheric and Oceanic Scientists.

Recent Publications (PostScript form):

On Noninvertible Mappings of the Plane: Eruptions, in the July 1996 issue of CHAOS:
- with pictures
- without pictures
Bifurcations in a Class of Noninvertible Mappings of the Plane, in the proceedings from CESA '96 IMACS Multiconference: Computational Engineering in Systems Applications held in Lille, France (1996).

Some of Dr. Curry's disciples:

Scott Herod
Linda Sundbye
Tony Werckman
Lora Billings
Eric Phipps