Numerical Analysis and Scientific Computing Seminar
An Algorithm for the Rapid Evaluation of Special Function Transforms
Speaker: Michael O'Neil, CIMS
Location: Warren Weaver Hall 1302
Date: Nov. 5, 2010, 10 a.m.
In this talk we will introduce a new class of fast algorithms for the application of certain special function transforms to arbitrary vectors. The scheme is applicable to a number of transforms, including the Fourierâ€“Bessel transform, the non-equispaced Fourier transform, transforms associated with all classical orthogonal polynomials, etc. The complexity of the scheme is O(n log n), and we illustrate the performance via several numerical examples.