2.6.5 PLM scheme with Minmod slope-limiter

**Figure 19:** Stencil and example for PLM scheme with Minmod slope-limiter.
$\includegraphics[width=8.0cm]{images/pde1d_stencil_mm0p.ps}$ $\includegraphics[width=8.0cm]{images/pde1d_solve_linadv_spikes_minmod_i200n500dt04.ps}$

Figure 19: PLM scheme with Minmod slope-limiter (minimum allowed slope),

$\displaystyle \delta \! \rho_i$	$\textstyle =$	$\displaystyle \min \! \left( \max \! \left( \rho_{i} - \rho_{i-1}, 0 \right), \max \! \left( \rho_{i+1} - \rho_{i} , 0 \right) \right) +$	(153)
		$\displaystyle \max \! \left( \min \! \left( \rho_{i} - \rho_{i-1}, 0 \right), \min \! \left( \rho_{i+1} - \rho_{i} , 0 \right) \right) \enspace .$

See Sect. 2.4.10.