The Importance of the Math Formulation for Modeling and Simulation of Industrial Strength Problems on Peta and Exascale Systems (Special Joint CACM/CCRG Seminar)

04/06/2012 - 2:00pm to 3:00pm
Kirk E. Jordan
Speaker affiliation: 
IBM T.J. Watson Research

As industry scientists and engineers tackle more complex problems involving
multiphysics and multiscales and then seek to solve these problems through
computation, the math formulations which incorporate and more closely
approximate the complex physical or biological phenomena being modeled will
also be important to unlocking the approach taken on future computer
systems. I will describe some of the challenges that will need to be
considered in designing Petascale and eventually Exascale systems.  Through
the combination of High Performance Computing (HPC) hardware coupled with
novel mathematical and algorithmic approaches emerging from the original
formulations some efforts toward breakthroughs in industrial strength
science and engineering are described.  While there is progress, many
challenges for the mathematical and computational science community to apply
HPC to science problems of industry with impact on society remain.  In
conclusion, some discussion not only on the most obvious way to use
ultra-scale, multi-core HPC will be given but also some thoughts on
incorporating more physics in the algorithms derived from the math models
and a glimpse at how to make such systems more accessible which might allow
us to better use them to tackle previously intractable problems.

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