Left panels: the differential work (dW/ dr) and the running work integral (W) for the unstable g mode with k = 5 (upper panel) and the stable p mode with k = 5 (lower panel), along with the Rosseland opacity profile (κ), the opacity derivatives, and the thermal timescale (τ_th) of our 0.1612 M_⊙ pre-WD template model at T_eff = 7400 K. The gray areas show the location of the convection zones due to the partial ionization zones. Right panels: same as in the left panels, but for the 0.1612 M_⊙ pre-WD template model at T_eff = 9500 K.