PDEBench
Benchmarks
TaskDatasetSOTA resultTrendResults
PDEBench
0.05nRMSE
5
PDEBench
0.817nRMSE
5
PDEBench
0.005nRMSE
5
PDEBench
0.011nRMSE
5
PDEBench
0.079nRMSE
5
PDEBench Compressible Navier-Stokes (PB-CNS-High)
4.11L2RE Step 1
4
PDEBench Compressible Navier-Stokes (PB-CNS-Low)
0.056L2RE Step 1
4
PDEBench Shallow Water Equations
0.007L2RE
4
PDEBench 8 families (aggregate)
67.8Exact Accuracy
4
PDEBench 2D Orszag–Tang vortex (unseen cases)
0.216nRMSE
4
PDEBench 2D Kelvin–Helmholtz equation (unseen cases)
0.168nRMSE
4
PDEBench 2D Shock wave dynamics (unseen cases)
0.216nRMSE
4
PDEBench
0.024Diffusion-Reaction Error
4
PDEBench
0.15Diffusion-Reaction Error
4
PDEBench Diffusion-Sorption (1D) (test)
0.002nRMSE
4
PDEBench Burgers (1D) (test)
0.31nRMSE
4
PDEBench Advection (1D) (test)
0.008nRMSE
4
PDEBench Burgers (test)
0.003nRMSE
4
PDEBench Rand-M1.0
0.124RMSE
3
PDEBench Rand-M0.1
0.045RMSE
3
PDEBench Diff-React
0.084RMSE
3
PDEBench
0.227RMSE
3
PDEBench
0.007RMSE
3
PDEbench Unsteady NS
1.81L2 Relative Error
3
PDEbench Lid-Driven Cavity
0.003L2 Relative Error
3