2.3.13 Further concepts

Further desirable properties of a numerical scheme or code:

• Accuracy: good approximation even at finite resolution, minimal artifacts near discontinuities, high-order convergence in smooth regions
• Positivity (boundedness): $\rho$, $P$, $T$ always positive
• Simplicity: code should be easy to understand, maintain, and extend
• Efficiency: code should be fast (on a variety of machines)