Sedov explosion. Evolution of the averaged L₁ error, (Eq. (25)), in the shocked region corresponding to models S₄,  (X_a = m_a), and S₈,  (), in Table 5. We show both the partition of unity and the normalized ⟨Δr⟩/h condition, for the estimator choices: X_a = m_a (purple and orange lines) and (blue and magenta lines). Also shown is the evolution of the maximum density for the two volume estimators (dashed lines, black is for S₄ and light-blue for S₈) during the explosion.