Theory and Modern Applications
N | Second order scheme ( C  = 0.5) | Third order scheme ( C  = 0.6) | ||||||
---|---|---|---|---|---|---|---|---|
u | \(\boldsymbol {u'} \) | u | \(\boldsymbol {u'} \) | |||||
MAE | RMSE | MAE | RMSE | MAE | RMSE | MAE | RMSE | |
8 | 2.254e−03 | 8.560e−03 | 1.521e−03 | 5.047e−03 | 2.40e−04 | 1.67e−04 | 7.48e−04 | 4.76e−04 |
16 | 5.225e−04 | 1.969e−03 | 3.401e−04 | 1.164e−03 | 2.17e−05 | 1.45e−05 | 8.88e−05 | 4.60e−05 |
32 | 1.259e−04 | 4.542e−04 | 7.999e−05 | 2.754e−04 | 2.19e−06 | 1.43e−06 | 8.30e−06 | 4.76e−06 |
64 | 3.091e−05 | 1.112e−04 | 1.945e−05 | 6.718e−05 | 2.43e−07 | 1.57e−07 | 8.73e−07 | 5.29e−07 |
Order | 2.0266 | 2.0301 | 2.0395 | 2.0356 | 3.17 | 3.19 | 3.25 | 3.17 |