Fast approximation on the real line
Duration: 54 mins 47 secs
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Description: |
Iserles, A
Wednesday 7th August 2019 - 14:00 to 15:00 |
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Created: | 2019-08-09 15:56 |
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Collection: | Geometry, compatibility and structure preservation in computational differential equations |
Publisher: | Isaac Newton Institute |
Copyright: | Iserles, A |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | 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, commencing from the familiar Hermite functions and moving to recent results characterising all orthonormal sets on L2(−∞,∞) that have a skew-symmetric (or skew-Hermitian) tridiagonal differentiation matrix and such that their first n expansion coefficients can be calculated in O(nlogn) operations. In particular, we describe the generalised Malmquist–Takenaka system. The talk concludes with a (too!) long list of open problems and challenges. |
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