Table 7.

Numerical errors in the maximum norm for hIFE2 applied to the example in Section 5.4. The spatial resolution is $\Delta x=\frac{\pi }{2N}$ in all three dimensions, the time step is Δt = 0.1Δx, the ending time is T = 1, and the coefficients are d₁ = d₂ = d₃ = 1 and r = −1.

N × N × N	L∞ error	Order
4 × 4 × 4	1.33e−03	-
8 × 8 × 8	3.28e−04	2.02
16 × 16 × 16	8.17e−05	2.01
32 × 32 × 32	2.04e−05	2.00
64 × 64 × 64	5.10e−05	2.00
128 × 128 × 128	1.27e−06	2.00