4 papers · 1 filter
Kernel interpolation in Sobolev spaces of hybrid regularity
M. Griebel, H. Harbrecht
Kernel interpolation in tensor product reproducing kernel Hilbert spaces allows for the use of sparse grids to mitigate the curse of the dimension. Typically, besides the generic c…
Kernel interpolation on generalized sparse grids
Michael Griebel, Helmut Harbrecht, Michael Multerer
We consider scattered data approximation on product regions of equal and different dimensionality. On each of these regions, we assume quasi-uniform but unstructured data sites and…
On the Compressibility of Integral Operators in Anisotropic Wavelet Coordinates
Helmut Harbrecht, Remo von Rickenbach
The present article is concerned with the s*-compressibility of classical boundary integral operators in anisotropic wavelet coordinates. Having the s*-compressibility at hand, one…
Samplets: Wavelet concepts for scattered data
Helmut Harbrecht, Michael Multerer
This chapter is dedicated to recent developments in the field of wavelet analysis for scattered data. We introduce the concept of samplets, which are signed measures of wavelet typ…