6 citations · 6 across the 5 of their papers we have counts for
11 papers
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…
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…
Convergence analysis of oversampled collocation boundary element methods in 2D
Georg Maierhofer, Daan Huybrechs
Collocation boundary element methods for integral equations are easier to implement than Galerkin methods because the elements of the discretization matrix are given by lower-dimen…
On the adaptive spectral approximation of functions using redundant sets and frames
Vincent Coppé, Daan Huybrechs
The approximation of smooth functions with a spectral basis typically leads to rapidly decaying coefficients where the rate of decay depends on the smoothness of the function and v…
Efficient function approximation on general bounded domains using wavelets on a cartesian grid
Vincent Coppé, Daan Huybrechs
Fourier extension is an approximation method that alleviates the periodicity requirements of Fourier series and avoids the Gibbs phenomenon when approximating functions. We describ…
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…