Theory and Modern Applications
N |  | Second order ( C  = 0.45) | Third order ( C  = 1.1) | ||
---|---|---|---|---|---|
 | MAE | RMSE | MAE | RMSE | |
10 | u | 2.3524e−06 | 1.2294e−06 | 3.3425e−09 | 2.1271e−09 |
\(u' \) | 1.6070e−05 | 6.8720e−06 | 1.5594e−08 | 1.0533e−08 | |
v | 1.2026e−05 | 8.0087e−06 | 1.9955e−08 | 1.2704e−08 | |
\(v' \) | 3.9650e−05 | 2.8558e−05 | 1.0046e−07 | 5.9011e−08 | |
20 | u | 7.4405e−07 | 3.8633e−07 | 1.5475e−09 | 1.0102e−09 |
\(u'\) | 4.0111e−06 | 1.9062e−06 | 4.8890e−09 | 3.5842e−09 | |
v | 3.0216e−06 | 1.9569e−06 | 3.8218e−09 | 2.4468e−09 | |
\(v' \) | 9.9398e−06 | 6.9784e−06 | 1.3573e−08 | 8.9719e−09 | |
40 | u | 1.9760e−07 | 1.0079e−07 | 2.7490e−10 | 1.7786e−10 |
\(u'\) | 1.0611e−06 | 4.8541e−07 | 8.6380e−10 | 6.1758e−10 | |
v | 7.5983e−07 | 4.8342e−07 | 5.2919e−10 | 3.3868e−10 | |
\(v' \) | 2.4813e−06 | 1.7237e−06 | 1.7523e−09 | 1.1953e−09 | |
Order | u | 1.9128 | 1.9385 | 2.49 | 2.51 |
\(u'\) | 1.9185 | 1.9734 | 2.50 | 2.54 | |
v | 1.9916 | 2.0172 | 2.85 | 2.85 | |
\(v' \) | 2.0021 | 2.0173 | 2.95 | 2.91 |