Vanishing spatial shell coefficient #
The spatial cutoff derivative coefficient tends to zero as its radius increases through the natural numbers.
theorem
ESS.buShortShellCoeff_tendsto_zero
(scale c₁ : ℝ)
:
Filter.Tendsto (fun (n : ℕ) => buShortShellCoeff scale (↑n + 1) c₁) Filter.atTop (nhds 0)
The shell error coefficient vanishes along radii n + 1.