| 1d Burgers' equation (test) | CNN XD | Relative Error0.0079 | | 85 | 4d ago |
| CodePDE | AutoNumerics | Advection Error0 | | 72 | 4d ago |
| Helmholtz equation | AEH-PINN | Relative L2 Error0.006 | | 32 | 4d ago |
| Korteweg-de Vries (KdV) 1-D (test) | ATHENA | Relative L2 Error0 | | 32 | 4d ago |
| Navier-Stokes 2D | GC-PINN | MSE0 | | 26 | 4d ago |
| 1D Burgers | GC-PINN | MSE0 | | 26 | 4d ago |
| ANISOTROPIC PDE | NLSS | Solve Time (ms)24.41 | | 18 | 4d ago |
| Hamilton-Jacobi equation quadratic initial condition, exponential Hamiltonian | Time-DLT | L2 Error0.0688 | | 16 | 4d ago |
| Navier-Stokes Regular Grid (test) | Transolver | Relative L2 Error0.09 | | 16 | 4d ago |
| Darcy Regular Grid (test) | D-SENO | Relative L2 Error0.0048 | | 16 | 4d ago |
| Darcy-Flow 2d (test) | Ours | Relative MSE0.0162 | | 15 | 4d ago |
| NLRD 1d+time (test) | Ours | Relative MSE0 | | 15 | 4d ago |
| Poisson 1d (test) | Neural Solver | Relative MSE0 | | 15 | 4d ago |
| Helmholtz 1d (test) | Neural Solver | Relative MSE0.0217 | | 15 | 4d ago |
| Navier-Stokes Point-wise (25% test ratio) | LANO | Relative L2 Error0.1274 | | 15 | 4d ago |
| Pipe Structured Mesh (test) | D-SENO | Relative L2 Error0.003 | | 15 | 4d ago |
| Airfoil Structured Mesh (test) | D-SENO | Relative L2 Error0.0052 | | 15 | 4d ago |
| Klein-Gordon equation | DBAW-PIKAN | Relative L2 Error0.0009 | | 15 | 4d ago |
| Poisson | GLNO | L2 Error0.0044 | | 13 | 4d ago |
| PDEBench Diff.Reac 1D (test) | FNO | nRMSE0.0014 | | 13 | 4d ago |
| ERA5 Patch-wise 50% test ratio | LANO | Rel L2 Error0.0124 | | 12 | 4d ago |
| Anisotropic Diffusion long rollout | DiffusionRollout | Relative L2 Error0.026 | | 11 | 4d ago |
| Cahn-Hilliard (long rollout) | DiffusionRollout | Rel L2 Error0.254 | | 11 | 4d ago |
| Turbulent Flow long rollout | DiffusionRollout | Rel L2 Error0.307 | | 11 | 4d ago |
| Gray-Scott long rollout | DiffusionRollout | Relative L2 Error0.391 | | 11 | 4d ago |
