2.4.10 Fromm scheme

**Figure 16:** Stencil and example for Fromm scheme.
$\includegraphics[width=8.0cm]{images/pde1d_stencil_mm0p.ps}$ $\includegraphics[width=8.0cm]{images/pde1d_solve_linadv_spikes_fromm_i200n500dt04.ps}$

Figure 16 shows the stencil diagram and an example for the Fromm scheme with flux at $\bgroup\color{DEFcolor}$i+\frac{1}{2}$\egroup$

$\begin{displaymath} \textstyle f_{i+\frac{1}{2}}^n = \frac{1}{2} \left( f_{\ma... ..._{\mathrm{Beam-Warming,} i+\frac{1}{2}}^n \right) \enspace . \end{displaymath}$

(113)

See Sect. 2.6.4.