17 citations · 95 across the 41 of their papers we have counts for
6 papers · 1 filter
Stable and accurate least squares radial basis function approximations on bounded domains
Ben Adcock, Daan Huybrechs, Cécile Piret
The computation of global radial basis function (RBF) approximations requires the solution of a linear system which, depending on the choice of RBF parameters, may be ill-condition…
On the computation of the SVD of Fourier submatrices
Simon Dirckx, Daan Huybrechs, Robbe Ongenae
Contiguous submatrices of the Fourier matrix are known to be ill-conditioned. In a recent paper in SIAM Review A. Barnett has provided new bounds on the rate of ill-conditioning of…
Arbitrary-order asymptotic expansions of Gaussian quadrature rules with classical and generalised weight functions
Peter Opsomer, Daan Huybrechs
Gaussian quadrature rules are a classical tool for the numerical approximation of integrals with smooth integrands and positive weight functions. We derive and expicitly list asymp…
AAA interpolation of equispaced data
Daan Huybrechs, Lloyd N. Trefethen
We propose AAA rational approximation as a method for interpolating or approximating smooth functions from equispaced data samples. Although it is always better to approximate from…
Stable approximation of Helmholtz solutions in the disk by evanescent plane waves
Emile Parolin, Daan Huybrechs, Andrea Moiola
Superpositions of plane waves are known to approximate well the solutions of the Helmholtz equation. Their use in discretizations is typical of Trefftz methods for Helmholtz proble…
An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions
Georg Maierhofer, Daan Huybrechs
In recent work (Maierhofer & Huybrechs, 2022, Adv. Comput. Math.), the authors showed that least-squares oversampling can improve the convergence properties of collocation methods…