THE SUCCESSIVE REFLECTION METHOD IN 3-DIMENSIONAL PARTICLE-TRANSPORT

The free streaming operator T is considered in a convex three dimensio nal region V, with diffusive multiplying boundary conditions, Some mat hematical properties of T are examined by writing the particle density as an infinite series which takes into account successive reflections on partial derivative V, and by introducing an operator which in some sense annihilates the multiplying effect of partial derivative V. (C) 1996 American Institute of Physics.