| 1d Burgers' equation (test) | CNN XD | Relative Error0.0079 | | 85 | 1mo ago |
| CodePDE | AutoNumerics | Advection Error0 | | 72 | 1mo ago |
| PDEBench Diff.Sorp (test) | RECRAFT | nRMSE0.0016 | | 65 | 29d ago |
| PDEBench Diff.Reac 1D (test) | FNO | nRMSE0.0014 | | 41 | 29d ago |
| Darcy-Flow 2d (test) | FactFormer | Relative MSE0.0001 | | 33 | 1mo ago |
| 2D Allen-Cahn equation a=15 | TGPS-PF | Relative L2 Error0 | | 32 | 22d ago |
| Helmholtz equation | AEH-PINN | Relative L2 Error0.006 | | 32 | 1mo ago |
| Korteweg-de Vries (KdV) 1-D (test) | ATHENA | Relative L2 Error0 | | 32 | 1mo ago |
| Steady state diffusion dataset (test) | | Relative MSE0.0001 | | 30 | 17d ago |
| Darcy flow (test) | | Relative MSE0.0001 | | 30 | 17d ago |
| 1D Burgers | GC-PINN | RelL2 Error0 | | 29 | 1mo ago |
| PDEBench rdb (test) | GITS | nRMSE11.3 | | 28 | 29d ago |
| Navier-Stokes 2D | GC-PINN | MSE0 | | 26 | 1mo ago |
| Navier-Stokes Regular Grid (test) | LRSA | Relative L2 Error0.0484 | | 25 | 11d ago |
| Darcy Regular Grid (test) | LRSA | Relative L2 Error0.0043 | | 25 | 11d ago |
| Pipe Structured Mesh (test) | LRSA | Relative L2 Error0.0023 | | 23 | 11d ago |
| Airfoil Structured Mesh (test) | LRSA | Relative L2 Error0.0042 | | 23 | 11d ago |
| Shallow Water 3D (test) | DynFormer | Relative MSE Loss0.0046 | | 18 | 1mo ago |
| Navier-Stokes 2D (test) | DynFormer | Relative MSE Loss0.0479 | | 18 | 1mo ago |
| Kuramoto-Sivashinsky 1D (test) | DynFormer | Relative MSE Loss0.0086 | | 18 | 1mo ago |
| ANISOTROPIC PDE | NLSS | Solve Time (ms)24.41 | | 18 | 1mo ago |
| Nonlinear elliptic PDE | TGPS-PF | Relative L2 Error0 | | 16 | 22d ago |
| 2D Allen-Cahn equation a=20 | TGPS-NT | Relative L2 Error0 | | 16 | 22d ago |
| Hamilton-Jacobi equation quadratic initial condition, exponential Hamiltonian | Time-DLT | L2 Error0.0688 | | 16 | 1mo ago |
| NLRD 1d+time (test) | Ours | Relative MSE0 | | 15 | 1mo ago |
