| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| 1d Burgers' equation (test) | CNN XD | Relative Error0.0079 | 85 | 3mo ago | |
| CodePDE | AutoNumerics | Advection Error0 | 72 | 3mo ago | |
| PDEBench Diff.Sorp (test) | RECRAFT | nRMSE0.0016 | 65 | 2mo ago | |
| Poisson | NOWS | Time (s)19.95 | 55 | 26d ago | |
| Darcy | FUNCATTN | Relative L2 Error0.0042 | 46 | 2d ago | |
| Navier-Stokes Regular Grid (test) | CATO | Relative L2 Error0.0319 | 41 | 22d ago | |
| Darcy Regular Grid (test) | CATO | Relative L2 Error0.0042 | 41 | 22d ago | |
| PDEBench Diff.Reac 1D (test) | FNO | nRMSE0.0014 | 41 | 2mo ago | |
| 1D Burgers | GC-PINN | RelL2 Error0 | 38 | 22d ago | |
| Pipe Structured Mesh (test) | LRSA | Relative L2 Error0.0023 | 38 | 22d ago | |
| Airfoil Structured Mesh (test) | CATO | Relative L2 Error0.0041 | 38 | 22d ago | |
| Navier-Stokes 2D | GC-PINN | Relative L2 Error0.0027 | 34 | 22d ago | |
| Darcy-Flow 2d (test) | FactFormer | Relative MSE0.0001 | 33 | 3mo ago | |
| 2D Allen-Cahn equation a=15 | TGPS-PF | Relative L2 Error0 | 32 | 2mo ago | |
| Helmholtz equation | AEH-PINN | Relative L2 Error0.006 | 32 | 3mo ago | |
| Korteweg-de Vries (KdV) 1-D (test) | ATHENA | Relative L2 Error0 | 32 | 3mo ago | |
| Klein-Gordon equation | DBAW-PIKAN | Relative L2 Error0.0009 | 31 | 22d ago | |
| Steady state diffusion dataset (test) | Relative MSE0.0001 | 30 | 2mo ago | ||
| Darcy flow (test) | Relative MSE0.0001 | 30 | 2mo ago | ||
| Poisson | MetaColloc | L2 Error0 | 30 | 21d ago | |
| PDEBench rdb (test) | GITS | nRMSE11.3 | 28 | 2mo ago | |
| Darcy Flow 64x64 resolution | QuadNorm | Relative L2 Error0.0561 | 27 | 23d ago | |
| Plasticity Structured Mesh (test) | LRSA | Relative L2 Error0.0005 | 23 | 22d ago | |
| Elasticity Point Cloud (test) | LRSA | Relative L2 Error0.33 | 20 | 22d ago | |
| Navier-Stokes (NS) problem | CAML | Stp201 | 18 | 8d ago |
