New trends in time-domain integral equations

TDIE implementations have come a long way since their initial unstable first steps and are well on their way to becoming a fourth set of canonical methods in the computational electromagnetics toolbox. Five basic methods for temporal discretization have shown promise for the stable and accurate temporal discretization of TDIEs, and several fast methods have been concocted to improve their performances. While new applications of TDIEs are likely to continue pouring in, multiphysics and electromagnetic physics appear to be the short-term trajectory of these newest computational electromagnetics methods. Despite their unimpressive origins, TDIEs are finally poised to become a very new trend in computational electromagnetics.