IntegrationRules.GaussJacobiLobatto Method

public static SimpleIntegrationRule GaussJacobiLobatto(
	int n,
	double alpha,
	double beta
)

Public Shared Function GaussJacobiLobatto ( 
	n As Integer,
	alpha As Double,
	beta As Double
) As SimpleIntegrationRule

public:
static SimpleIntegrationRule^ GaussJacobiLobatto(
	int n, 
	double alpha, 
	double beta
)

static member GaussJacobiLobatto : 
        n : int * 
        alpha : float * 
        beta : float -> SimpleIntegrationRule 

Parameters

n  Int32

The number of points in the quadrature rule.

alpha  Double

The alpha parameter of the Jacobi polynomial. Must be greater than -1.

beta  Double

The beta parameter of the Jacobi polynomial. Must be greater than -1.

Return Value

Gauss-Jacobi-Lobatto rules are a closed form of Gaussian quadrature based on Jacobi polynomials where the end points of the integration interval are included in the set of nodes.

The number of points, n, includes the 2 end points.

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

Reference