| Laser Heat | DGNet | MSE17.6 | | 10 | 1mo ago |
| Complex Obstacles | DGNet | MSE0.0001 | | 10 | 1mo ago |
| FitzHugh-Nagumo | DGNet | MSE0 | | 10 | 1mo ago |
| Poisson Eq. L-shape domain 2D (test) | Neural-HSS | Test Error0.02 | | 6 | 1mo ago |
| Poisson Eq. Mixed BC 2D (test) | Neural-HSS | Test Error0.0001 | | 6 | 1mo ago |
| Burgers equation periodic boundary conditions spectral-1024 reference (T=4) | TENG-Heun | Relative L2 Error0.0002 | | 5 | 1mo ago |
| Burgers equation periodic boundary conditions spectral-1024 reference (T=3) | TENG-Heun | Relative L2 Error0.0001 | | 5 | 1mo ago |
| Burgers equation periodic boundary conditions spectral-1024 reference (T=2) | TENG-Heun | Relative L2 Error0 | | 5 | 1mo ago |
| Burgers equation periodic boundary conditions spectral-1024 reference (T=1) | TENG-Heun | Relative L2 Error0 | | 5 | 1mo ago |
| Incompressible Navier-Stokes Eq. Inverse 2D (test) | FNO | Test Error0.19 | | 5 | 1mo ago |
| Incompressible Navier-Stokes Eq. Forward 2D (test) | Neural-HSS | Test Error0.123 | | 5 | 1mo ago |
| Gray–Scott Eq. (Inverse) 2D (test) | FactFormer | Test Error0.192 | | 5 | 1mo ago |
| Gray–Scott Eq. Forward 2D (test) | ResNet | Test Error27.3 | | 5 | 1mo ago |
| WaveBench 15Hz acoustic time-harmonic Helmholtz equation | FLOWER | VRMSE0.0463 | | 4 | 1mo ago |
| 2D Poisson equation | Rigorous Error Certification for Neural PDE Solvers | Boundary Error Bound0 | | 1 | 29d ago |
| 1D Burgers Equation | PINN (Certified via ∂-CROWN) | Residual Bound0.124 | | 1 | 29d ago |
