In recent years, modeling and simulation of multi-scale phenomena, from atoms to complex systems, have attracted enormous attention from the mathematical and scientific research communities with profound positive impact on transcendent technologies and future product development. These classes of problems are characterized by having multiple scales of length (10 orders) and time (12 orders), interactions among multiple phenomena or components, generation of truly “big data”, and unknown levels of uncertainties. Extending the traditional single-scale formulation methods including microscopic models to such complex systems has proven to be inadequate. They require innovative approaches to be able to formulate accurate, reliable models to bridge the macro-nano-molecular-atomic scales by capturing their complex dynamic interactions that are vital to the simulation of any real device and to the optimization of design-cycle times. However, this systematic multi-scale framework presents central mathematical and scientific challenges both in theory and computation required for successfully combining models or coupling algorithms across various scales. Toward this end, breakthroughs in mathematical and numerical analysis including efficient algorithms become a matter of life and death, and so are benchmark methods for validation, verification, and uncertainty quantification of predictive models for advanced simulations. 

This Special Session will be organized around three invited keynote presentations that define  the themes of the conference; In addition, numerous contributed talks will play a key role in developing further the corresponding themes of the conference;  This Special Session invites participation in a broad range of areas in conjunction with computational science and engineering to discuss current practices, breakthrough innovations, and promising research directions in the development of multi-scale algorithms and multi-models and their applications in science and industry to meet 21^st century imperatives. 

Salim M. Haidar, 
Professor of Mathematics
Grand Valley State University
USA

E-mail: [email protected]
(Office) (616)331-2042 / 2040
(Fax)    (616)331-3120