Boundary element methods for steady state problems have reached a state of maturity in
both analysis and efficient implementation and have become an ubiquitous tool in …

This book offers a thorough and self-contained exposition of the mathematics of time-domain
boundary integral equations associated to the wave equation, including applications to …

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 describe how a time-discretized wave equation in a homogeneous medium can be
solved by boundary integral methods. The time discretization can be a multistep, Runge …

An error analysis of Runge–Kutta convolution quadrature is presented for a class of non-
sectorial operators whose Laplace transform satisfies, besides the standard assumptions of …

Time domain boundary element formulations can be established either directly in time
domain or via Laplace or Fourier domain. Somewhere in between are the convolution …

We propose an efficient algorithm for the approximation of fractional integrals by using
Runge–Kutta based convolution quadrature. The algorithm is based on a novel integral …

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 …

In this work we establish some new estimates for layer potentials of the acoustic wave
equation in the time domain, and for their associated retarded integral operators. These …