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Conservation-law dynamics prediction on Shallow water

0.0027Relative L2 ErrorSKNO
-0.0155520.1076490.230850.354051May 17, 2025Jul 15, 2025Sep 12, 2025Nov 10, 2025Jan 8, 2026Mar 8, 2026May 6, 2026

Evaluation results

MethodLinks
SKNOTraining Time=20.85 min, Resolution Protocol=Trained on a randomly selected resolution2025.050.0027—
FNOTraining Time=11.43 min, Resolution Protocol=Trained on a randomly selected resolution2025.050.003—
CNOTraining Time=49.26 min, Resolution Protocol=Trained on the highest resolution (predefined resolution required)2025.050.0085—
TransolverTraining Time=128.64 min, Resolution Protocol=Trained on a randomly selected resolution2025.050.0088—
DISCOPrediction type=Single step2026.050.05850.246
DPOTPrediction type=Single step2026.050.07450.346
DeepONetTraining Time=8.59 min, Resolution Protocol=Trained on the highest resolution (predefined resolution required)2025.050.0902—
HFluxNOPrediction type=Single step2026.050.1250.496
DISCOPrediction type=Autoregressive Rollout (20 steps)2026.050.3350.94
HFluxNOPrediction type=Autoregressive Rollout (20 steps)2026.050.4280.847
DPOTPrediction type=Autoregressive Rollout (20 steps)2026.050.4590.977