Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

We propose time-domain boundary integral and coupled boundary integral and variational
formulations for acoustic scattering by linearly elastic obstacles. Well-posedness along with …

This work addresses the numerical solution of time-domain boundary integral equations
arising from acoustic and electromagnetic scattering in three dimensions. The …

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

A rarely exploited advantage of time-domain boundary integral equations compared to their
frequency counterparts is that they can be used to treat certain nonlinear problems. In this …

We study a symmetric BEM–FEM coupling scheme for the scattering of transient acoustic
waves by bounded inhomogeneous anisotropic obstacles in a homogeneous field. An …

We present a novel analysis of the boundary integral operators associated to the wave
equation. The analysis is done entirely in the time-domain by employing tools from abstract …

In this paper we formulate a transmission problem for the transient acoustic wave equation
as a system of retarded boundary integral equations. We then analyse a fully discrete …

We propose a numerical scheme to solve the time-dependent linear Schr\" odinger
equation. The discretization is carried out by combining a Runge-Kutta time stepping …

Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations
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