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Applied Interdisciplinary Mathematics Seminars EVENT DETAIL Date:  Wednesday, March 09, 2011 Title:  Ziwet Lecture 2 (1084 East Hall): Impossibility of fast stable approximation of analytic functions from equispaced samples Abstract:  Suppose $f$ is analytic on $[-1,1]$ and you sample it at $n$ equally spaced points. There are excellent algorithms for estimating $f$ between the points. Nevertheless we prove that any algorithm, linear or nonlinear, must fail as $n \to \infty$. Speaker:  Nick Trefethen Institution:  Oxford University   AIM Graduate Program AIM Seminars UM Math seminars