This paper reviews the status of time-domain integral-equation modelin
g. It concentrates on recent work on development of the method here at
Imperial College, done since the earlier review in this same journal
[1]. A curvilinear, isoparametric approach, incorporating Gaussian qua
drature, with special treatment of singular and hypersingular integral
s, is described. The approach is implicit, providing stable prediction
s without recourse to the averaging schemes found necessary with expli
cit treatments. The issues of parallelization, hybridization to time-d
omain optical methods, and application to dielectric and lossy targets
are addressed.