Seminar series
Date
Tue, 31 Jan 2017
14:00
14:00
Location
L5
Speaker
Nick Trefethen
Organisation
Mathematical Institute
The trigonometric interpolants to a periodic function f in equispaced points converge if f is Dini-continuous, and the associated quadrature formula, the trapezoidal rule, converges if f 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.