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1D linear advection prediction on 1D linear advection out-of-range (test)

1.715Relative L2 ErrorPI-DeepONet
1.488283.018644.5496.07936Apr 10, 2026

Evaluation results

MethodLinks
PI-DeepONetTest case (x0, ν)=(0.30, 0.09)2026.041.715
KAPI predictorTest case (x0, ν)=(0.30, 0.09)2026.042.215
KAPI predictorTest case (x0, ν)=(0.50, 0.02)2026.043.656
FiLM-HyperPINNTest case (x0, ν)=(0.50, 0.02)2026.043.752
FiLM-HyperPINNTest case (x0, ν)=(0.30, 0.09)2026.044.203
PI-DeepONetTest case (x0, ν)=(0.50, 0.02)2026.047.383