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ResearchFormerly WizWand

Forward PDE Solving on 1D Burgers' equation standard synthetic (test)

0.0026Relative L2 ErrorSpatio-Temporal MeanFlow
-0.0234520.1523990.328250.504101May 9, 2026May 15, 2026May 22, 2026May 29, 2026Jun 4, 2026Jun 11, 2026Jun 18, 2026
Updated 4mo ago

Evaluation results

MethodLinks
Spatio-Temporal MeanFlowSolver Category=Generative2026.050.00260.2390.0118
CFOSolver Category=Neural operators2026.050.0080.0330.0007
FNOSolver Category=Neural operators2026.050.01050.2130.0012
SEA-PINNNumber of Layers=5, Neurons per Layer=100, Activation Function=tanh, Initialization=Xavier-normal, Collocation Points=standard2026.060.0127——
FNN-PINNNumber of Layers=5, Neurons per Layer=100, Activation Function=tanh, Initialization=Xavier-normal, Collocation Points=standard2026.060.0133——
PINOSolver Category=Neural operators2026.050.02060.2630.2742
RectFlowSolver Category=Generative2026.050.02768.753155.337
PBFMSolver Category=Generative2026.050.03112.26312.9219
LAAFNumber of Layers=5, Neurons per Layer=100, Activation Function=tanh, Initialization=Xavier-normal, Collocation Points=standard2026.060.0352——
PINNSolver Category=Coord-based2026.050.03560.0320.0715
DeepONetSolver Category=Neural operators2026.050.05590.120.0004
DiffPDESolver Category=Generative2026.050.086123.487662.699
I-PINNSolver Category=Coord-based2026.050.08920.1610.0764
GAAFNumber of Layers=5, Neurons per Layer=100, Activation Function=tanh, Initialization=Xavier-normal, Collocation Points=standard2026.060.6539——