Home >
Seminars and Colloquia >
Abstracts

Mathematics and Statistics Colloquium
Date/Time/Room:
Monday (10/25/2004) at 3:00pm in 304 Pickard Hall "Dynamic DataDriven Application Simulations (DDDAS)"Abstract: DDDAS is a new paradigm in which data dynamically controls almost all aspects of long term simulations. Rather than run many simulations using static data as initial conditions, a very small number of simulations are run with additional data injected as it becomes available. Most candidate problems for the DDDAS paradigm involve solving a nonlinear time dependent partial differential equation of the form F(x+∆x(t)) = 0 by iteratively choosing a new approximate solution x based on the time dependent perturbation ∆x(t).In practice, the data streaming in may have errors and therefore may not be completely accurate or reliable (for example, in reservoir data sets, a 15% error in the data is common). As a result, perhaps one does not need to solve the nonlinear equation precisely at each step. This can expedite the execution At each iterative step, the following three issues may need to be addressed:
DDDAS offers interesting computational and mathematically unsolved problems, such as, how do you analyze the properties of a generalized PDE when you do not know either where or what the local boundary conditions are at any given moment in the simulation in advance?

