Fast approximation on the real line
54 mins 51 secs,
100.33 MB,
MP3
44100 Hz,
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About this item
| 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)
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| 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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