ABSTRACT. We study the classical combined field integral equation formulations for time-harmonic acoustic scattering by a sound soft bounded obstacle, namely the indirect formulation due to… (More)

We consider the classical coupled, combined-field integral equation formulations for time-harmonic acoustic scattering by a sound soft bounded obstacle. In recent work, we have proved lower and upper… (More)

The purpose of this paper is to show that, for a large class of band-dominated operators on `∞(Z, U), with U being a complex Banach space, the injectivity of all limit operators of A already implies… (More)

In this work we use the method of polynomial chaos expansion (PCE) for statistical analysis of a via interconnect in a printed circuit board (PCB) in presence of geometrical uncertainties. A… (More)

We study the classical combined field integral equation formulations for time-harmonic acoustic scattering by a sound soft bounded obstacle, namely the indirect formulation due to… (More)

This article is about a problem in the numerical analysis of random operators. We study a version of the finite section method for the approximate solution of equations Ax = b in infinitely many… (More)

By counting 1’s in the “right half” of 2w consecutive rows, we locate the main diagonal of any doubly infinite permutation matrix with bandwidth w. Then the matrix can be correctly centered and… (More)

This work presents the modeling of the printed circuit board part of power distribution networks (PDNs) and example results for the uncertainty quantification for the magnitude of the corresponding… (More)

We study spectra and pseudospectra of certain bounded linear operators on 2(Z) . The operators are generally non-normal, and their matrix representation has a characteristic offdiagonal decay. Based… (More)