We propose a Bayesian inference framework to estimate uncertainties in inverse scattering
problems. Given the observed data, the forward model and their uncertainties, we find the …

Helmholtz decompositions of elastic fields is a common approach for the solution of Navier
scattering problems. Used in the context of boundary integral equations (BIE), this approach …

These notes develop the algorithmic aspects of convolution equations and their
discretization by Convolution Quadrature, with an emphasis on the convolution equations …

In this paper we present a full discretization of the layer potentials and boundary integral
operators for the elastic wave equation on a parametrizable smooth closed curve in the …

We present and analyse fully discrete Nyström methods for the solution of three classes of
well-conditioned boundary integral equations for the solution of two-dimensional scattering …

For the past years there has been an increasing interest in developing mathematical and
computational methods for digital holography. Holographic techniques furnish noninvasive …

Helmholtz decompositions of the elastic fields open up new avenues for the solution of
linear elastic scattering problems via boundary integral equations (BIE)(Dong et …

For a singular integral equation on an interval of the real line, we study the behavior of the
error of a delta-delta discretization. We show that the convergence is non-uniform, between …

This thesis analyzes the discretization error induced by the Convolution Quadrature Galerkin
method in seeking the numerical solution to time domain boundary integral equations …

We investigate high-order Convolution Quadratures methods for the solution of the wave
equation in unbounded domains in two dimensions that rely on Nystr\" om discretizations for …