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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