On the Stability of Characteristic Schemes for the Fermi Equation
نویسنده
چکیده
We study characteristic schemes for a model problem for the Fermi pencil beam equation. The objective is twofold: (i) To design eecient 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 L 2 and the maximum norms.
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