College of Science and Mathematics
Department of Mathematics
Mathematics Seminar Series - Spring 2005
Monday,
March 28, 2005
2:30 pm, Science 2-065
2:30 pm, Science 2-065
Karen Ricciardi
University of Massachusetts BostonDetermination of optimal upstream collocation points applied to the convection-diffusion equation
Abstract:
The analytic formulas for the Hermite collocation solution of
the steady-state convection-diffusion equation with Dirichlet
boundary conditions defined on a uniform mesh in one spatial
dimension are known. These approximation formulas are functions
of the collocation discretization and can be optimized for accuracy
through the use of upstream weighting of the convective term.
Determining the optimal collocation discretization, however, is
not trivial. This work explores the nature of such an optimization
problem and the use of a genetic algorithm to determine the
optimal collocation discretization.
The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 4:00 pm.
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