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Solving PDEs research benchmarks · SOTA2 Research

Solving PDEs

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

0Relative L2 Error

20

Mar 27, 2026

Nonlinear elliptic PDE 18 1 (test)

0Relative L2 Error

20

Mar 27, 2026

Klein-Gordon Equation (test)

DCGD (Center) + LRA

0.007Max Relative L2 Error

11

Feb 26, 2026

Burgers' Equation (test)

0.002Max Relative L2 Error

11

Feb 26, 2026

Helmholtz Equation (test)

DCGD (Center) + LRA

0.004Max Relative L2 Error

11

Feb 26, 2026

1D Boundary Layer Problem (Eq. 15), epsilon=1000 1.0 (test)

0.005Relative L2 Error

5

Apr 30, 2026

1D Boundary Layer Problem (Eq. 15) epsilon=100 1.0 (test)

0Relative L2 Error

5

Apr 30, 2026

1D Boundary Layer Problem Eq. 15 epsilon=10 1.0 (test)

0Relative L2 Error

5

Apr 30, 2026

1D Boundary Layer Problem Eq. 15, epsilon=1 1.0 (test)

0Relative L2 Error

5

Apr 30, 2026

ANISOTROPIC PDE nc=64 (test)

29.18Solve Time (ms)

5

Feb 26, 2026

2D Poisson Equation (Square Domain) analytical exact solution uex (test)

—

—Primary metric

0

Feb 26, 2026

Popular datasets

1D Boundary Layer Problem Burgers' Equation Helmholtz equation Klein-Gordon equation 2D Poisson Equation

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