IntegrationRules.ModifiedGaussKronrod Method

Constructs a new modified Gauss-Kronrod quadrature rule.

Definition

Namespace: Numerics.NET.Calculus
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
C#
public static IntegrationRule ModifiedGaussKronrod(
	int n
)

Parameters

n  Int32
The number of points in the quadrature rule. Must be one of 15 or 21.

Return Value

IntegrationRule
An n point modified Gauss-Kronrod rule.

Remarks

Gauss-Kronrod rules combine a low order rule with a higher order rule that reuses the same nodes. This allows an estimate for the round-off error to be calculated.

This method returns a modified Gauss-Kronrod rule that reduces the adverse effects of singularities at the boundary of the integration interval.

The rule is valid over the interval [-1, 1].

Only rules with 15 or 21 points are supported.

See Also