I was awarded the AMMCS Kolmogorov-Wiener Prize for Young Researchers at the 2015 AMMCS-CAIMS Congress.
Month: June 2015
A mapped polynomial method for function approximation
Rodrigo Platte and I have a new paper in which we propose a mapped polynomial method for high accuracy function approximation on arbitrary grids. We show how the method achieves numerical stability with near-optimal numbers of degrees of freedom – in effect circumventing the so-called impossibility theorem – by sacrificing classical convergence for finite, but arbitrarily high accuracy.