Mathematical Models and Methods for Plasma Physics, Volume 1 by Rémi Sentis

Author:Rémi Sentis
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

The values E j, ⋅  n are assumed to be known and we must solve between z j and z j+1 the advection equation:

Let us denote One could get by a classical upwind scheme with respect to the z variable

(3.45)

This method is referred to below as the naive method. We propose now an improved method to deal with the advection equation. We do not address it directly, but the corresponding equation for the laser intensity (square of the modulus of E), i.e., we search E = E n for the solution of

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