PDE Learning on Non-linear Fokker-Planck equation (test)
0.002Empirical L2-errorRT_{R^m, 1}
Evaluation results
| Method | Links | ||
|---|---|---|---|
| RT_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^162023.12 | 0.002 | 4.28 | |
| RT_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^172023.12 | 0.002 | 15.09 | |
| RN_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^172023.12 | 0.002 | 20.06 | |
| RT_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^182023.12 | 0.002 | 54.51 | |
| RN_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^182023.12 | 0.002 | 60.06 | |
| RT_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^182023.12 | 0.002 | 50.85 | |
| RT_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^152023.12 | 0.003 | 1.21 | |
| RN_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^152023.12 | 0.003 | 1.28 | |
| RN_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^162023.12 | 0.003 | 4.88 | |
| RT_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^162023.12 | 0.003 | 4.03 | |
| RT_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^172023.12 | 0.003 | 14.1 | |
| T_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^132023.12 | 0.003 | 68.04 | |
| RT_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^142023.12 | 0.003 | 0.31 | |
| N_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^142023.12 | 0.003 | 121.96 | |
| RT_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^152023.12 | 0.003 | 1.22 | |
| RN_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^152023.12 | 0.003 | 1.33 | |
| T_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^162023.12 | 0.003 | 466.83 | |
| RT_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^162023.12 | 0.003 | 4.08 | |
| RN_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^162023.12 | 0.003 | 4.3 | |
| RT_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^172023.12 | 0.003 | 13.26 | |
| RN_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^172023.12 | 0.003 | 16.66 | |
| RT_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^182023.12 | 0.003 | 47.93 | |
| RN_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^182023.12 | 0.003 | 66.72 | |
| RT_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^132023.12 | 0.004 | 0.1 | |
| RT_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^142023.12 | 0.004 | 0.32 | |
| RN_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^142023.12 | 0.004 | 0.34 | |
| T_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^172023.12 | 0.004 | 958.22 | |
| T_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^182023.12 | 0.004 | 1,845.27 | |
| T_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^122023.12 | 0.004 | 31.84 | |
| RT_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^122023.12 | 0.004 | 0.03 | |
| RN_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^122023.12 | 0.004 | 0.04 | |
| T_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^132023.12 | 0.004 | 57.27 | |
| RT_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^132023.12 | 0.004 | 0.08 | |
| RN_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^132023.12 | 0.004 | 0.1 | |
| T_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^142023.12 | 0.004 | 133.3 | |
| RT_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^142023.12 | 0.004 | 0.31 | |
| N_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^142023.12 | 0.004 | 101.96 | |
| RN_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^142023.12 | 0.004 | 0.33 | |
| T_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^152023.12 | 0.004 | 223.47 | |
| RT_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^152023.12 | 0.004 | 1.15 | |
| N_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^152023.12 | 0.004 | 211.52 | |
| RN_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^152023.12 | 0.004 | 1.31 | |
| T_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^162023.12 | 0.004 | 471.27 | |
| N_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^162023.12 | 0.004 | 408.84 | |
| RN_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^162023.12 | 0.004 | 4.3 | |
| T_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^172023.12 | 0.004 | 937.77 | |
| N_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^172023.12 | 0.004 | 844.67 | |
| RN_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^172023.12 | 0.004 | 18.3 | |
| T_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^182023.12 | 0.004 | 1,894.66 | |
| N_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^182023.12 | 0.004 | 1,651.71 | |
| RN_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^182023.12 | 0.004 | 56.88 | |
| T_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^122023.12 | 0.004 | 32.1 | |
| RN_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^122023.12 | 0.004 | 0.04 | |
| RT_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^132023.12 | 0.004 | 0.09 | |
| N_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^132023.12 | 0.004 | 61.95 | |
| RN_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^132023.12 | 0.004 | 0.1 | |
| T_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^142023.12 | 0.004 | 122.23 | |
| RN_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^142023.12 | 0.004 | 0.34 | |
| T_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^152023.12 | 0.004 | 223.63 | |
| N_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^152023.12 | 0.004 | 200.03 | |
| N_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^162023.12 | 0.004 | 418.05 | |
| T_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^172023.12 | 0.004 | 933.89 | |
| N_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^172023.12 | 0.004 | 827.91 | |
| T_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^182023.12 | 0.004 | 1,790.32 | |
| N_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^182023.12 | 0.004 | 1,691.33 | |
| RT_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^122023.12 | 0.005 | 0.03 | |
| T_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^132023.12 | 0.005 | 77.89 | |
| RN_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^132023.12 | 0.005 | 0.1 | |
| T_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^162023.12 | 0.005 | 455.12 | |
| N_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^172023.12 | 0.005 | 813.33 | |
| N_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^182023.12 | 0.005 | 1,635.54 | |
| N_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^122023.12 | 0.005 | 29.34 | |
| N_{R^m, 1}m (spatial dimension)=20, J (number of samples)=2^132023.12 | 0.005 | 53.52 | |
| RT_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^122023.12 | 0.005 | 0.03 | |
| N_{R^m, 1}m (spatial dimension)=30, J (number of samples)=2^122023.12 | 0.005 | 29.44 | |
| T_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^122023.12 | 0.006 | 32.5 | |
| RN_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^122023.12 | 0.006 | 0.03 | |
| T_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^142023.12 | 0.006 | 111.28 | |
| N_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^142023.12 | 0.006 | 125.98 | |
| T_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^152023.12 | 0.006 | 226.13 | |
| N_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^152023.12 | 0.006 | 195.95 | |
| N_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^162023.12 | 0.006 | 401.79 | |
| N_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^132023.12 | 0.007 | 47.45 | |
| N_{R^m, 1}m (spatial dimension)=10, J (number of samples)=2^122023.12 | 0.01 | 25.36 |