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Forward PDE solving on Navier-Stokes

0.19Relative L2 ErrorSpatio-Temporal MeanFlow
-5.300431.759868.82105.8802May 29, 2025Jul 28, 2025Sep 26, 2025Nov 25, 2025Jan 24, 2026Mar 25, 2026May 25, 2026

Evaluation results

MethodLinks
Spatio-Temporal MeanFlowSolver Category=Ours2026.050.19
PINOSolver Category=Neural operator2026.050.32
FNOSolver Category=Neural operator2026.050.38
CFOSolver Category=Neural operator2026.050.88
Rectified FlowSolver Category=Generative PDE2026.051.4
DiffusionPDEnumber of steps=1000, number of observations=5002026.052.71
Equi-FunDPSSteps (N)=5002025.053.06
FunDPSSteps (N)=5002025.053.32
DiffusionPDESteps (N)=20002025.053.78
FM4PDEnumber of steps=1000, number of observations=5002026.055.6
DeepONetSolver Category=Neural operator2026.0519.68
I-PINNSolver Category=Physics-informed coordinate-based2026.0535.65
PINNSolver Category=Physics-informed coordinate-based2026.0540.21
DiffusionPDESolver Category=Generative PDE2026.05118.74
PBFMSolver Category=Generative PDE2026.05137.45