Thursday, April 4, 9:30 am in 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
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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