Two accuracy assurance schemes are combined into the Binary Interaction Approximation (BIA) to N-body problems. The first one is a sort of variable time step (VTS) scheme for a given error tolerance. Since this scheme sometimes does not converge, an error-tolerance-adjusting (ETA) scheme is also introduced. With these two schemes combined into the original BIA, a significant improvement in terms of numerical error is obtained.
2012 by The Japan Society of Plasma Science and Nuclear Fusion Research