Appl. Comput. Math. 1 (2002), no. 2, pp.
158-174
ON THE STABILITY OF
CHARACTERISTIC SCHEMES FOR THE FERMI
EQUATION
M. ASADZADEH
ABSTRACT. We study characteristic schemes for a model
problem for the Fermi pencil beam equation. The objective is twofold: (i) To
design efficient and accurate numerical schemes based on the principle of
solving a particle transport problem, exactly, on each collision free spatial
segment combined with a projection on each collision site, from a pre collision
angle and energy coordinates (AE) to a post collision AE coordinates. (ii) To
prove stability and derive a posteriori error estimates in L2
and
the maximum norms.