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PDE Solving on Burgers (Relative Error)

0.26Relative ErrorSpatio-Temporal MeanFlow
-3.489621.820247.1372.4398Mar 24, 2026Mar 31, 2026Apr 8, 2026Apr 16, 2026Apr 23, 2026May 1, 2026May 9, 2026

Evaluation results

MethodLinks
Spatio-Temporal MeanFlowSolver Category=Ours2026.050.26
CFOSolver Category=Neural operator2026.050.8
FNOSolver Category=Neural operator2026.051.05
PINOSolver Category=Neural operator2026.052.06
Rectified FlowSolver Category=Generative PDE2026.052.76
PBFMSolver Category=Generative PDE2026.053.11
PINNSolver Category=Physics-informed coordinate-based2026.053.56
DeepONetSolver Category=Neural operator2026.055.59
VanillaR=–2026.038
CELGR=82026.038
DiffusionPDESolver Category=Generative PDE2026.058.61
I-PINNSolver Category=Physics-informed coordinate-based2026.058.92
CP-PINNR=–2026.039
PIXELR=82026.039
CELGR=162026.0311
CELG-CPR=162026.0314
CELGR=322026.0317
CELG-CPR=82026.0334
CELG-CPR=322026.0335
H-SplineR=162026.0345
PIXELR=162026.0347
H-SplineR=82026.0347
H-SplineR=322026.0391
PIXELR=322026.0394