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Numerical Integration

Benchmarks

DatasetSOTA methodMetricTrendResultsLast updated

Cubic NLS T=1.0, N=1024, γ=0.5

0L2 Error

16

May 7, 2026

KdV equation T=1.0, N=1024, γ=0.5

0.004L2 Error (τ=2^-4)

4

May 7, 2026

Definite integral of f(x) = 2^x over [0, 2]

4.32Integral Value

2

Jun 5, 2026

Definite integral of f(x) = ln(x+1) over [0, 2]

1.41Integral Value

2

Jun 5, 2026

Definite integral of f(x) = sin x over [0, 2]

1.29Integral Value

2

Jun 5, 2026

Definite integral of f(x) = sqrt(1+x^2) over [0, 2]

2.95Integral Value

2

Jun 5, 2026

Definite integral of f(x) = x^2 over [0, 2]

2.66Integral Value

2

Jun 5, 2026

Definite integral of f(x) = x-1 over [0, 2]

0Integral Value

2

Jun 5, 2026

General Numerical Integration Theoretical Analysis

1Convergence Rate

2

Jun 4, 2026

Mixture of Gaussians d=50

—

—Primary metric

0

Feb 26, 2026

Mixture of Gaussians (d=10)

—

—Primary metric

0

Feb 26, 2026