The Simple Finite Volume Lax-Wendroff Weighted Essentially Nonoscillatory Schemes for Shallow Water Equations with Bottom Topography

Table 1

errors and numerical orders of accuracy for the one-dimensional order test in Example 2, SWENO5-LW3 and WENO5-RK3 using cells.

	SWENO5-LW3				WENO5-RK3
	error	Order	error	Order	error	Order	error	Order
	25		0.00		0.00		0.00		0.00
50		2.38		1.73		2.62		2.52
100		2.98		3.22		2.67		2.89
200		3.98		3.97		3.80		3.81
400		4.69		4.68		4.67		4.66
800		4.94		4.94		4.96		4.96