Research Article

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

Table 2

Left: SL-FV WENO 5 scheme, right: C-SL-FD WENO 5 scheme for Example 1 on a uniform mesh of cells at , CFL = 5.9, and .

SL-FV WENO 5 C-SL-FD WENO 5
error Order error Order error Order error Order

10
20 3.22 3.25 2.78 3.26
40 4.20 3.61 4.52 3.64
80 4.52 3.67 4.47 3.67
160 4.58 3.59 4.39 3.44