ABSTRACT
In many application areas, such as aeroacoustics [12, 13, 26, 30] and electromagnetics [24], the propagation of acoustic and electromagnetic waves needs to be accurately simulated over very long periods of time and far distances. To reduce the accumulation of errors, the numerical algorithm must be highly accurate. To accomplish this goal, high-order compact finite difference schemes have been developed for wave propagation applications [2, 12, 15, 24, 25, 29, 30] and surface water modeling [21, 22].
