Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

It is well known that the trapezoidal rule converges geometrically when applied to analytic
functions on periodic intervals or the real line. The mathematics and history of this …

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 …

The acoustic wave equation on the whole three-dimensional space is considered with initial
data and inhomogeneity having support in a bounded domain, which need not be convex …

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 explain four variants of an adaptive finite element method with cubic splines and
compare their performance in simple elliptic model problems. The methods in comparison …