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Surrogate Modeling of 1D Nonlinear PDEs on 1D Family Scenario E2 1.0 (test)

0.77Accumulated Error (MSE)LE-PDE
0.11724.52368.9313.3364Jun 15, 2022

Evaluation results

MethodLinks
LE-PDEResolution (nt, nx)=(250, 100)2022.060.77208128
LE-PDEResolution (nt, nx)=(250, 40)2022.061.03208128
LE-PDEResolution (nt, nx)=(250, 50)2022.061.13208128
WENO5Resolution (nt, nx)=(250, 100)2022.061.191,900——
MP-PDEResolution (nt, nx)=(250, 40)2022.061.4580—1,000
MP-PDEResolution (nt, nx)=(250, 100)2022.061.5890—2,500
MP-PDEResolution (nt, nx)=(250, 50)2022.061.6390—1,250
FNO-PFResolution (nt, nx)=(250, 50)2022.062.27———
FNO-PFResolution (nt, nx)=(250, 40)2022.062.38———
FNO-PFResolution (nt, nx)=(250, 100)2022.062.53———
FNO-RNNResolution (nt, nx)=(250, 40)2022.063.26———
FNO-RNNResolution (nt, nx)=(250, 50)2022.063.57———
WENO5Resolution (nt, nx)=(250, 50)2022.065.351,900——
WENO5Resolution (nt, nx)=(250, 40)2022.068.051,700——
FNO-RNNResolution (nt, nx)=(250, 100)2022.0617.09———