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Solving Parameterized Partial Differential Equations research benchmarks · SOTA2 Research

Solving Parameterized Partial Differential Equations

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Parameterized Time-Dependent Sine-Gordon Equation 10K D

0.002Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Sine-Gordon Equation 1K D

0Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Sine-Gordon Equation 100 D

0Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Sine-Gordon Equation 10 D

0.004Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Semilinear Heat Equation 10K D

0.003Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Semilinear Heat Equation 1K D

0Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Semilinear Heat Equation 100 D

0.037Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Semilinear Heat Equation 10D

0Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Allen-Cahn Equation 10K D

0.038Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Allen-Cahn Equation 1K D

0.126Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Allen-Cahn Equation 100 D

0.002Relative L1 Error

4

Jun 23, 2026

Parameterized Time-Dependent Allen-Cahn Equation 10 D

0.004Relative L1 Error

4

Jun 23, 2026

Popular datasets

Parameterized Time-Dependent Allen-Cahn Equation Parameterized Time-Dependent Semilinear Heat Equation Parameterized Time-Dependent Sine-Gordon Equation

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