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Special Mathematics ColloquiumDate/Time/Room: Friday (5/10/2002) at 2:00pm in 487 Pickard Hall
Speaker:
Don A. Jones,
Department of Mathematics and Statistics, Arizona State University ``Can FiniteDimensional Maps Capture the Dynamics of InfiniteDimensional Systems?''Abstract: The solution operator of PDEs generates infinitedimensional dynamical systems. However, numerical algorithms approximating the solutions are inherently finite dimensional. Work suggesting numerical schemes can capture the correct dynamics of the infinitedimensional systems they approximate, provided the space and time mesh are sufficiently refined, will be presented. The theory is applied to the NavierStokes equations, and estimates on the resolution required of the numerical scheme are also given.

