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Papers Benchmarks Datasets Tasks

PDE approximation research benchmarks · SOTA2 Research

PDE approximation

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Hamilton-Jacobi equations d=30 v1 (test)

0.128L2 Error

8

Feb 26, 2026

Hamilton-Jacobi equations d=10 v1 (test)

0.027L2 Error

8

Feb 26, 2026

0.005MSE

6

Feb 26, 2026

0MSE

6

Feb 26, 2026

0MSE

5

Feb 26, 2026

Generalized Black–Scholes PDE (test)

0MSE

5

Feb 26, 2026

Deterministic Burgers evolution Q=0

Algorithm 1 (QHPDE)

0.009Value at x=0

2

Mar 23, 2026

Stochastic Burgers Equation 1D noise (test)

Algorithm 1 (QHPDE)

0.225Basis Function 0 Evaluation

2

Mar 23, 2026

Popular datasets

Hamilton-Jacobi equations Generalized Black–Scholes PDE Heat PDE Poisson PDE Burgers' PDE

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