In the past decades computing power has made possible simulations of unprecedented sophistication and detail, and allowed the resolution of coupled phenomena that occur on many different spatial and temporal scales. Paradoxically, as computational power increases, we become aware of finer scale effects and the consequent limits of our physical models. Moreover, we are more sensitive to the propagation of errors and uncertainties. Therefore, in spite of vastly expanded limits on computational power, we will continue into the foreseeable future to be thwarted in our efforts to understand the most complex coupled Multiphysics and multiscale phenomena. To this end, mathematical and computational modeling will remain a key enabling technology that must be developed and exploited.
A primary challenge in the modeling of complex systems is to determine the scale, accuracy, and model complexity that are necessary to achieve acceptable predictive capabilities, and to reflect these requirements in a stable, efficient computational framework. In this workshop we will discuss these problems on several interrelated topics:
This workshop will include a poster session; a request for posters will be sent to registered participants in advance of the workshop.
(Texas A&M University - College Station, Mathematics)
Tom Hou (California Institute of Technology, Applied and Computational Mathematics)
Knut-Andreas Lie (SINTEF)
Fredrik Saaf (Shell)
Hamdi Tchelepi (Stanford University)
Mary Wheeler (University of Texas at Austin)