Fifth-Order Mapped Semi-Lagrangian Weighted Essentially Nonoscillatory Methods Near Certain Smooth Extrema

Table 3

Left: FV WENO 5 scheme, right: FD WENO 5 scheme for Example 1 on a uniform mesh of 𝑁 cells at 𝑡=0.5, CFL = 0.2, and 𝜀=10⁻⁶.

𝑁	FV WENO 5				FD WENO 5
	𝐿^1 error	Order	𝐿^∞ error	Order	𝐿^1 error	Order	𝐿^∞ error	Order
10	1.84𝐸−02	—	4.44𝐸−02	—	1.99𝐸−02	—	4.77𝐸−02	—
20	1.93𝐸−03	3.25	4.62𝐸−03	3.26	2.02𝐸−03	3.30	4.73𝐸−03	3.33
40	1.07𝐸−04	4.17	3.78𝐸−04	3.61	1.08𝐸−04	4.23	3.83𝐸−04	3.63
80	4.72𝐸−06	4.50	3.00𝐸−05	3.66	4.75𝐸−06	4.51	3.02𝐸−05	3.66
160	2.13𝐸−07	4.47	2.76𝐸−06	3.44	2.14𝐸−07	4.47	2.77𝐸−06	3.45