Integral equation formulations are a competitive strategy in computational electromagnetics
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …

Wavelets have emerged as an important tool in analyzing functions containing
discontinuities and sharp spikes. They were developed independently in the fields of …

Matrix compression techniques in the context of wavelet Galerkin schemes for boundary
integral equations are developed and analyzed that exhibit optimal complexity in the …

We consider the numerical solution of elliptic boundary value problems in domains with
random boundary perturbations. Assuming normal perturbations with small amplitude and …

This paper implements a quantitative approach to detect pulse-like ground motions based
on continues wavelet transform, which is able to clearly identify sudden jumps in time history …

In the present paper we consider the fully discrete wavelet Galerkin scheme for the fast
solution of boundary integral equations in three dimensions. It produces approximate …

In this paper we present the construction of new stable biorthogonal spline-wavelet bases
on the interval [0, 1] for arbitrary choice of spline-degree. As starting point, we choose the …

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 study the inverse problem to reconstruct the shape of a three dimensional sound-soft
obstacle from measurements of scattered acoustic waves. To solve the forward problem we …

We compare fast black-box boundary element methods on parametric surfaces in R3. These
are the adaptive cross approximation, the multipole method based on interpolation, and the …