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X-WR-CALDESC:FAU DCN-AvH. Chair for Dynamics, Control, Machine Learning and Numerics -Alexander von Humboldt Professorship
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DTSTART;TZID=Europe/Berlin:20210127T103000
DTEND;TZID=Europe/Berlin:20210127T113000
DTSTAMP:20211020T084455Z
CREATED:20211020
LAST-MODIFIED:20220117
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SUMMARY:Fast approximation on the real line
DESCRIPTION:Speaker: Prof. Dr. Arieh Iserles\nAffiliation: University of Cambridge, UK\nRequest Zoom meeting link\nAbstract: While approximation theory in an interval is thoroughly understood, the real line represents something of a mystery. In this talk we review the state of the art in this area. Motivating our interest by the design of spectral methods for dispersive PDEs, we commence from familiar Hermite functions and move to recent results characterizing all orthonormal sets on $L_2(-infty,infty)$ that have a skew-symmetric (or skew-Hermitian) tridiagonal differentiation matrix and such that their first $n$ expansion coefficients can be calculated in O(n log n) operations. In particular, we describe the generalized Malmquist-Takenaka system. The talk concludes with a (too!) long list\nof open problems and challenges. This is joint work with Marcus Webb.\n
URL:https://dcn.nat.fau.eu/events/fast-approximation-on-the-real-line/
CATEGORIES:FAU CAA Seminar
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