Date
Tue, 31 Jan 2017
14:00
Location
L5
Speaker
Nick Trefethen
Organisation
Mathematical Institute

The trigonometric interpolants to a periodic function in equispaced points converge if is Dini-continuous, and the associated quadrature formula, the trapezoidal rule, converges if is continuous.  What if the points are perturbed?  Amazingly little has been done on this problem, or on its algebraic (i.e. nonperiodic) analogue.  I will present new results joint with Anthony Austin which show some surprises.

 

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