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This is only a partial answer, but as far a speed goes, any algorithm that doesn't involve a $\Delta T$ term will allow E+ to run faster on average. The models that include a $\Delta T$ term are accounting for buoyancy driven natural convection. For a given surface, the convection contribution to the energy balance equation is $Q_c = h_c \Delta T$. This is a linear expression only when $h_c$ doesn't depend on temperature, and linear equations can be solved with one iteration. Also equations that are near-linear can be solved faster than highly nonlinear ones. So a model with $h_c \sim \sqrt { \Delta T }$ will generally run faster than one with $h_c \sim \ { \Delta T } ^2$. This also relates to the robustness because a more linear model is more likely to help the heat balance convergence.