  The use of time-domain boundary integral equations has proved very effective
and efficient for three dimensional acoustic and electromagnetic wave
equations. In even dimensions and when some dissipation is present, time-domain
boundary equations contain an infinite memory tail. Due to this, computation
for longer times becomes exceedingly expensive. In this paper we show how
oblivious quadrature, initially designed for parabolic problems, can be used to
significantly reduce both the cost and the memory requirements of computing
this tail. We analyse Runge-Kutta based quadrature and conclude the paper with
numerical experiments.
