Theory and Modern Applications
From: Higher-order finite volume method with semi-Lagrangian scheme for one-dimensional conservation laws
N | SL-FV 3 | SL-FV 5 | ||||||
---|---|---|---|---|---|---|---|---|
\(\boldsymbol{L^{1}}\) error | Order | \(\boldsymbol{L^{\infty}}\) error | Order | \(\boldsymbol{L^{1}}\) error | Order | \(\boldsymbol{L^{\infty}}\) error | Order | |
20 | 9.04E − 04 | - | 1.41E − 03 | - | 1.58E − 04 | - | 2.46E − 04 | - |
40 | 1.41E − 04 | 2.68 | 2.22E − 04 | 2.67 | 5.05E − 06 | 4.97 | 7.92E − 06 | 4.96 |
80 | 1.64E − 05 | 3.10 | 2.58E − 05 | 3.11 | 1.58E − 07 | 5.00 | 2.49E − 07 | 4.99 |
160 | 2.09E − 06 | 2.97 | 3.29E − 06 | 2.97 | 5.31E − 09 | 4.90 | 8.35E − 09 | 4.90 |
320 | 2.62E − 07 | 2.99 | 4.11E − 07 | 3.00 | 1.63E − 10 | 5.03 | 2.05E − 10 | 5.06 |