July 17, 2024

Workshop on Mathematical Challenges in Product Development and Manufacture
June 25 - 26, 2001

Organizing committee:

David Ferguson, Boeing,
David Field, General Motors,
Michael Lachance, University of Michigan-Dearborn,
Ed Moylan, SIAM, Great Lakes Section,
Mike Pratt, NIST,
Marshall Walker, York University,

Local organizers:

Bradd Hart, Fields Institute,
Marshall Walker, York University,

Workshop details:

This 2-day workshop, limited to 30 invited participants, is intended to lay the groundwork for a proposed international SIAM conference on the same topic. Participants will be expected to make presentations and contribute to discussion on the theme of the workshop as described below.

Over the past 40 or 50 years, some applications of geometry in product development and manufacture have progressed from the research to the commodity stage. Examples include computer aided design (CAD) and finite element analysis (FEA). As a result, geometry-based computing has become pervasive throughout advanced technical enterprises.

Mathematicians from industrial and academic institutions played key roles in the explosive growth of industrial applications of geometry. Many geometry-related issues remain to be resolved, and these are addressed by such conferences as the biennial SIAM Computer Aided Geometric Design Conference. However, the organizers of this workshop feel that time has come to focus on what other areas of mathematics may contribute to the next major extension of computational methods for product development and manufacture. A further need is to find new ways to integrate already existing mathematics-based tools so that they work together better.

This proposed workshop intends to create a realistic list of such themes and to discover ways to make significant progress in applying mathematics in new ways that not only expand the boundaries of computational applications but also better integrate some of the applications that currently exist.

We envision three broad categories for discussion:

1. Novel applications - Are there any hitherto unexploited areas of mathematics having significant potential importance for new applications in product development and manufacture?

2. Emerging applications - How can we best expand the role of mathematical tools into new application areas such as virtual engineering and other forms of simulation?

3. Existing applications - Are there new ways of using existing techniques in, for example, computational mechanics, electromagnetics, fluid dynamics and other forms of physically-based modeling? And how can computational models best be validated for practical use, taking into account issues of safety and robustness of products?

The goal of the workshop is to create a realistic list of topics, and a corresponding list of strategies, which will enable significant progress in identifying potential new industrial applications of mathematics. These will form the basis of the Call for Papers for the proposed future conference.

List of Participants:

David R Ferguson, Boeing
David Field, General Motors Corporation
William H. Frey, General Motors Corporation
David James, University of Michigan-Dearborn
Eric Jiang, Teksoft
Kirk E. Jordan, IBM T.J. Watson Research Center
Bradd Hart, Fields Institute
Huaxiong Huang, York University
Michael Lachance, University of Michigan-Dearborn
Harry McLaughlin, RPI
Ed Moylan, Great Lakes Section SIAM
Ernie Mintel, Computer Sciences Corporation
J. Louis Nachman, Oakland Univeristy
Sean O'Reilly, Ford Motor Company
Tom Peters, University of Connecticut
Lee Seitelman, Pratt & Whitney
Neil Stewart, University of Montreal
Paul Tanenbaum, Army Research Labs
Phil Tuchinsky, Ford Motor Company
Marshall Walker, York University
Jianhong Wu, York University


Persons feeling that they can make a significant contribution to the workshop should contact one of the organizers, with an abstract of the ideas they would like to present.

For general inquiries regarding this event contact: