Optimized Weighted Essentially Nonoscillatory Third-Order Schemes for Hyperbolic Conservation Laws

Table 8

Errors for Problem II at time 𝑇=4.0.

cfl	Dissipation error	Dispersion error	Total error	eeldld
0.05	1.226025×10^−4	3.662431×10^−3	3.785033×10^−3	7.338306×10^−3
0.1	1.225995×10^−4	3.662445×10^−3	3.785045×10^−3	7.338335×10^−3
0.2	1.225756×10^−4	3.662562×10^−3	3.785137×10^−3	7.338569×10^−3
0.3	1.225113×10^−4	3.662889×10^−3	3.785400×10^−3	7.339226×10^−3
0.4	1.223875×10^−4	3.663557×10^−3	3.785945×10^−3	7.340568×10^−3
0.5	1.221869×10^−4	3.664757×10^−3	3.786944×10^−3	7.342976×10^−3
0.6	1.218963×10^−4	3.666677×10^−3	3.788573×10^−3	7.346830×10^−3
0.7	1.215076×10^−4	3.669750×10^−3	3.791257×10^−3	7.352998×10^−3
0.8	1.210324×10^−4	3.674625×10^−3	3.795657×10^−3	7.362783×10^−3
0.9	1.218720×10^−4	3.702746×10^−3	3.824618×10^−3	7.419234×10^−3
1.0	1.325062×10^−4	3.886192×10^−3	4.018698×10^−3	7.787523×10^−3
1.1	2.664458×10^−4	5.697562×10^−3	5.9640074×10^−3	1.1427719×10^−2
1.2	4.998687×10^−3	2.152228×10^−3	2.6520962×10^−3	4.353663×10^−2