We introduce the concept of samplets by transferring the construction of Tausch-White
wavelets to scattered data. This way, we obtain a multiresolution analysis tailored to discrete …

We propose a sparse algebra for samplet compressed kernel matrices to enable efficient
scattered data analysis. We show that the compression of kernel matrices by means of …

The distribution of centered Gaussian random fields (GRFs) indexed by compacta such as
smooth, bounded Euclidean domains or smooth, compact and orientable manifolds is …

An explicitly-sparse representation for oscillatory kernels is presented in this work by
developing a wave atom based method. Multilevel wave atom-like functions are constructed …

On a finite time interval $(0, T) $, we consider the multiresolution Galerkin discretization of a
modified Hilbert transform $\mathcal H_T $ which arises in the space-time Galerkin …

The optimal control of partial differential equations (PDEs) driven by nonlocal operators
presents many numerical challenges. In contrast to the existing methods available in the …

Iterated fast wavelet Petrov-Galerkin methods for Fredholm integral equations of the second
kind* Page 1 Iterated fast wavelet Petrov-Galerkin methods for Fredholm integral equations …

In this article, we introduce the concept of samplets by transferring the construction of
Tausch-White wavelets to the realm of data. This way we obtain a multilevel representation …

Iterated fast wavelet Petrov-Galerkin methods for Fredholm integral equations of the second
kind 中国科学院大学学报 2023, Vol. 40 Issue (3): 289-296 PDF 引用本文 Yu DD, Yan D Y …

System matrices arising from the discretization of integral equations are, in general, dense
and the complexity of direct inversion is cubical (eg, via Gauss elimination). Fast methods …