Modeling of the Radius of Curvature for THUNDER Actuators

shop which was the fourth one held at NCSU, brought together 36 graduate students from various graduate programs across the country (see participants section for a list of students and their institutions). These graduate students represented a large number of graduate programs across the country including the The students were divided into six teams working on \industrial mathematics" problems presented by industrial scientists. These problems were not the neat, well-posed academic exercises typically found in coursework, but rather challenging real world problems from industry or applied science. The problems, which were explained to the students on the rst day of the workshop, required fresh, new insight for their formulation and solution. Each group spent the rst nine days of the workshop working on their problem and then reported on their ndings in half-hour public seminars on the last day of the workshop. The following is a list of the presenters and the problems which they presented. These problems represent a very broad spectrum of mathematical topics and applications. The readers will observe that traditional topics such as number theory, algebra, probability and statistics, uid dynamics, ODE and PDE, optimization and numerical analysis play a very important role in the solution of such industrial problems. Although nine days is a short time for a full investigation of some aspects of the problems, the reports illustrate remarkable progress on all problems. We, the organizers, strongly believe that this workshop (and previous workshops) provided substantive non-academic research-related experiences for graduate students while contributing to the research eeorts of industrial participants. In addition, these experiences facilitated the development of graduate students' ability to communicate and interact with scientists who are not traditional mathematicians but require and employ various mathematical tools in their research. Finally, the v experience gained in the workshop will help to improve graduate student's vision about the type of mathematics and science that should be pursued by students who aspire to both non-academic and academic postgraduate career. The success of the workshop was greatly enhanced by active participation in a very friendly atmosphere and almost uninterrupted work during the nine days of attendance, and the organizers are most grateful to participants for their contributions. The organizers would like to thank the generous nancial support of this and previous workshops. The nancial support from the National Science Foundation this year has made it possible for us to provide much needed travel support …