“…The frugal requirements of the method made it popular in early applications to seismic modeling in the 1980s, given the limited computer memories available at the time (e.g., Kosloff and Baysal, 1982;Fornberg, 1987Fornberg, , 1988Etgen and Dellinger, 1989;Daudt et al, 1989). Recent applications have focused on complex earth models and parallel implementations (see, for instance, Klin et al, 2010;Peng and Cheng, 2016;Xie et al, 2016Xie et al, , 2018. PSTD applications in geophysics are typically defined on unbounded domains or half spaces, thus requiring effective numerical methods to avoid reflections from the computational boundaries of the domain under study.…”