Abstract for November 1, 2005
Steven Damelin (IMA and Georgia Southern University):
Numerical integration, Energy and Weighted Approximation
This talk will discuss recent work of the author, P. Grabner
and G. Mullen. We will first discuss the relationship
between Numerical integration and Energy functionals on the sphere and
show that points on the sphere that minimize certain energy functionals
are well distributed in the sense that their error of numerical
integration
is small. An example of a point system which admits t-designs for some t
and good energy estimates is constructed.
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