Table 3.

One iteration of the computer implementation of the multi-scale algorithm which is based on the MD model [A].

[M1]	Compute ‘free-flight positions’ of heat bath particles and the heavy particle at time t+Δt using step [A1].
[M2]	Compute post-collision velocities by (2.5) for every pair of particles which collided using step [A2].
[M3]	Terminate trajectories of heat bath particles which left the subdomain ΩD=(−L,0). Update n accordingly.
[M4]	Implement the influx of heat bath particles through the boundary x=−L using step [A4].
[M5]	If X(t)∉(−R,R), then generate a random number r2 uniformly distributed in (0,1). If r2<γ(μ+1)Δt/8, then increase n by 1, and introduce a new heat bath particle at position xn(t+Δt) with velocity vn(t+Δt) which are sampled according to probability distributions (4.6) and (4.7).
[M6]	If X(t)∈(−R,R), then update the heavy particle velocity using (4.1).
[M7]	If X(t)∈[R,L), then update the velocity of the heavy particle using (4.8).
[M8]	Continue with step [M1] using time t=t+Δt.