CCS Seminar
Friday - November 13, 2009
12:00 noon
Physics Research Building - Room 595
3 Cummington Street
Frank Alexander - Los Alamos National Laboratory
- Los Alamos, NM
"Equation-free
Implementation of Statistical Moment Closures"
I will present a general numerical
scheme for the practical implementation of statistical
moment closures suitable for modeling complex,
large-scale, nonlinear systems. Building on
recently developed equation-free methods, this
approach numerically integrates the closure
dynamics, the equations of which may not even
be available in closed form. Although closure
dynamics introduce statistical assumptions of
unknown validity, they can have significant
computational advantages as they typically have
fewer degrees of freedom and may be much less
stiff than the original detailed model. The
numerical closure approach can in principle
be applied to either deterministic or stochastic
systems for which there may be no scale separation.
I will demonstrate the equation-free approach
on a nonlinear stochastic partial differential
equation and describe further research directions.
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