PDE Solving on Burgers' equation
0.0001L2 Relative ErrorRSNG
Evaluation Results
| Method | Links | |
|---|---|---|
| RSNGTime(s)=2378, s=8002023.10 | 0.0001 | |
| RSNGTime(s)=188, s=1252023.10 | 0.0002 | |
| DBAW-PIKANOrder=4, Grid Size=20, Architecture=[2,20,20,20,1], Parameters=22,360, Optimizer=Adam, Iterations=500002025.12 | 0.0005 | |
| Causal PINNTime(s)=23027, s=N/A2023.10 | 0.0005 | |
| PIKANOrder=4, Grid Size=20, Architecture=[2,20,20,20,1], Parameters=22,360, Optimizer=Adam, Iterations=500002025.12 | 0.0012 | |
| PINNOrder=N/A, Grid Size=N/A, Architecture=[2,64,64,64,64,64,64,1], Parameters=21,057, Optimizer=Adam, Iterations=500002025.12 | 0.0012 | |
| PINNTime(s)=3451, s=N/A2023.10 | 0.0023 | |
| LFNOEpochs=50002026.05 | 0.0026 | |
| FNOEpochs=50002026.05 | 0.0046 | |
| HD-TLGPImplementation variant=atoms2025.02 | 0.0204 | |
| LNOEpochs=50002026.05 | 0.0275 | |
| PINNs2025.02 | 0.0609 | |
| SIGS2025.02 | 0.0664 | |
| FEniCS2025.02 | 0.0869 | |
| DBAW-PINNOrder=N/A, Grid Size=N/A, Architecture=[2,64,64,64,64,64,64,1], Parameters=21,057, Optimizer=Adam, Iterations=500002025.12 | 0.271 | |
| FBPINNs2025.02 | 0.2826 | |
| HD-TLGPImplementation variant=vanilla2025.02 | 0.3568 | |
| SSDE2025.02 | 0.4562 |