Solving PDE on Allen-Cahn
0.0001Relative Errordouble PINN
Evaluation results
| Method | Links | ||
|---|---|---|---|
| double PINNN (Number of collocation points)=4396, Precision=FP642026.05 | 0.0001 | 0 | |
| PIKAN2026.05 | 0.0056 | — | |
| PINN_FP64N (Number of collocation points)=10504, Precision=FP642026.05 | 0.016 | 0 | |
| PILIR2026.05 | 0.0294 | — | |
| MSPINNSpatial scales=[1, 10, 50], Temporal scale=[1]2026.05 | 0.0296 | — | |
| CELGR=82026.03 | 0.03 | — | |
| PIXELR=82026.03 | 0.04 | — | |
| CELGR=162026.03 | 0.14 | — | |
| PINNMambaN (Number of collocation points)=10504, Precision=FP642026.05 | 0.14 | 0.0027 | |
| H-SplineR=162026.03 | 0.15 | — | |
| CELG-CPR=162026.03 | 0.27 | — | |
| CELG-CPR=82026.03 | 0.42 | — | |
| VanillaR=–2026.03 | 0.46 | — | |
| PIXELR=162026.03 | 0.62 | — | |
| H-SplineR=82026.03 | 0.62 | — | |
| CP-PINNR=–2026.03 | 0.88 | — | |
| CELG-CPR=322026.03 | 0.95 | — | |
| CELGR=322026.03 | 0.98 | — | |
| PIXELR=322026.03 | 0.99 | — | |
| PINNsFormerN (Number of collocation points)=10504, Precision=FP642026.05 | 0.99 | 0.46 | |
| H-SplineR=322026.03 | 1.24 | — |