2.6.4 Examples: PLM: slopes with linear parameter dependence

Slopes of already encountered (linear) schemes:

Donor cell scheme (slope zero):

$$\delta \! \rho_i = 0$$ (149)

Lax-Wendroff scheme:

$$\delta \! \rho_i = \rho_{i+1} - \rho_{i}$$ (150)

Beam-Warming scheme:

$$\delta \! \rho_i = \rho_{i} - \rho_{i-1}$$ (151)

Fromm scheme:

$$\delta \! \rho_i = \frac{1}{2} \left( \rho_{i+1} - \rho_{i-1} \right)$$ (152)