3 papers
math.NA2019
The AZ algorithm for least squares systems with a known incomplete generalized inverse
Vincent Coppe, Daan Huybrechs, Roel Matthysen +1
We introduce an algorithm for the least squares solution of a rectangular linear system , in which may be arbitrarily ill-conditioned. We assume that a complementary matr…
math.NA2017
Function approximation on arbitrary domains using Fourier extension frames
Roel Matthysen, Daan Huybrechs
Fourier extension is an approximation scheme in which a function on an arbitary bounded domain is approximated using a classical Fourier series on a bounding box. On the smaller do…
math.NA2015
Fast Algorithms for the computation of Fourier Extensions of arbitrary length
Roel Matthysen, Daan Huybrechs
Fourier series of smooth, non-periodic functions on are known to exhibit the Gibbs phenomenon, and exhibit overall slow convergence. One way of overcoming these problems i…