Statistical and Applied Mathematical Sciences Institute
19 T.
W. Alexander Drive
P.O. Box 14006
Research Triangle Park, NC
27709-4006
Tel: 919.685.9300 FAX:
919.685.9310
info@samsi.info
2003-04 Program on
Multiscale Model Development and
Control Design
Multiscale analysis is ubiquitous in the modeling, design, and control of high performance systems utilizing novel material architectures. In applications including quantum computing, nanopositioning, granular flows, artificial muscle design, flow control, liquid crystal polymers, and actuator implants to stimulate tissue and bone growth, it is necessary to develop multiscale modeling hierarchies ranging from quantum to system levels for time scales ranging from nanoseconds to hours. Control techniques must be designed in concert with the models to guarantee the symbiosis required to achieve the novel design specifications. A crucial component of multiscale analysis is the development of homogenization techniques to bridge disparate temporal and spatial scales. This is necessitated by the fact that even with projected computing capabilities, monoscale models are prohibitively large to permit feasible system design or control implementation.
Workshops. There will be three major workshops:
Additional miniworkshops, to be scheduled, will address specific issues associated with multiscale modeling, homogenization, large scale simulation, reduced-order system models, and robust control design and implementation.
Research. The program will provide a forum to investigate nano, micro and mesoscale modeling methodologies, deterministic and statistical homogenization techniques for macroscopic model construction, reduced-order techniques for real-time implementation of system models, and commensurate robust control designs for advanced material architectures. Facets of the multiscale analysis will focus on the problem of optimal material design at the microscopic level given macroscopic performance criteria. To accommodate the uncertainty inherent to all phases of the model and control development, deterministic and stochastic techniques will be investigated in concert.
SAMSI-University Fellows, appointed for a semester or the entire year, will help lead the research, as well as join academic life at a SAMSI partner university; see www.samsi.info/univfellows200210.html for further information. Salary and timing are ideal for senior sabbatical visitors with partial funding from their home institutions.
Long-term Research Visitors will participate in the research; support for expenses is available. Please write to multi@samsi.info if you are interested in exploring this possibility.
Postdoctoral Fellows can be appointed for two or more years; see www.samsi.info/postdoc200210.html for information and application instructions.
Workshop Attendees both inform the course of the research and have early access to the results, and may receive support for expenses. Workshops will be announced individually on the SAMSI Web site.
Members of underrepresented groups are especially encouraged to apply.
M. Gregory Forest (North Carolina at Chapel Hill), Doina Cioranescu
(Universite Pierre et Marie Curie), Alan Gelfand (Duke; Co-Chair), David
Schaeffer (Duke), Murti Salapaka (Iowa State), Ralph Smith (NCSU; Chair),
Christopher Wikle (Missouri), Margaret Wright (NYU)
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