Integration Rules.Gauss Jacobi Method
Constructs a new Gauss-Jacobi quadrature rule.
Definition
Namespace: Numerics.NET.Calculus
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
C#
A Gauss-Jacobi quadrature rule of order n.
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
public static SimpleIntegrationRule GaussJacobi(
int n,
double alpha,
double beta
)
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
SimpleIntegrationRuleA Gauss-Jacobi quadrature rule of order n.
Remarks
Gauss-Jacobi rules are a form of Gaussian quadrature based on Jacobi polynomials.
The rule is valid over the interval [-1, 1].
Exceptions
Argument | n is less than or equal to 0. -or- alpha is less than or equal to -1. -or- beta is less than or equal to -1. |