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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Numerical Analysis Seminars: Approximation theory and approximation practice

Presented by Nick Trefethen, University of Oxford

6 March 2009 14:15 in CG60

This talk, joint work with DPhil student Ricardo Pachon, will be a
hands-on tour of some of the fundamental ideas of approximation theory, with
everything illustrated along the way by computations in the chebfun software
system.
       1. Chebyshev points and interpolants
       2. Chebyshev polynomials and series
       3. Salzer's barycentric interpolation formula
       4. Convergence for k-times differentiable functions
       5. Convergence for analytic functions
       6. Best and near-best
       7. Pade, Chebyshev-Pade, and analytic continuation
       8. Caratheodory-Fejer
       9. Splines and locality
       10. Edge detection and piecewise chebfuns
       11. There is no fun like chebfun
Though everything will be explained as we go, participants who are comfortable
with Matlab might find it interesting to download the chebfun package in
advance and get to know it a bit: see http://www.comlab.ox.ac.uk/chebfun/.

Contact m.p.j.jensen@durham.ac.uk for more information