Thursday, September 7, 9:30 am in room MTH 3206, University of Maryland,
College Park
Optimal approximability of solutions of singularly
perturbed differential equations
Prof. R. Bruce Kellogg
Institute for Physical Science and Technology and Department of Mathematics,
University of Maryland
kellogg@Glue.umd.edu
Using the theory of n-widths, the approximability of solutions of singularly
perturbed reaction-diffusion and convection-diffusion problems in one
dimension is quantified. The results lead to conjectures regarding
finite element methods for singular perturbation problems, and
for the analysis of singular perturbation problems themselves.
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