IntegrationRules.ModifiedGaussKronrod Method

public static IntegrationRule ModifiedGaussKronrod(
	int n
)

Public Shared Function ModifiedGaussKronrod ( 
	n As Integer
) As IntegrationRule

public:
static IntegrationRule^ ModifiedGaussKronrod(
	int n
)

static member ModifiedGaussKronrod : 
        n : int -> IntegrationRule 

Parameters

n  Int32

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

Return Value

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.

The reported order describes the theoretical rule. In floating-point computations, roundoff affects the practical numerical order and accuracy; a residual in a polynomial integral does not by itself indicate a defect in the rule's weights or abscissas.

Reference