Figure 6

Evolution of relative energy errors with various schemes. We use \(\Delta t_{\max}=\Delta t_{\mathrm{soft}}/4\), \(\Delta r_{\mathrm{buff}}=3\sigma\Delta t_{\mathrm{soft}}\) for all runs and \(\theta=0.4\) for the tree code and \(\eta=0.1\) for the Hermite scheme. In left and right panels, the x-axes are linear and logarithmic scales, respectively. Thin curves in right panels are proportional to T (solid) and \(T^{1/2}\) (dashed).