Integration
Constructs a new Clenshaw-Curtis quadrature rule
that uses the extrema of a Chebyshev polynomial as nodes.
Definition
Namespace: Numerics.NET.Calculus
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
C#
A Clenshaw-Curtis quadrature rule of order n.
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
public static SimpleIntegrationRule ClenshawCurtis(
int n
)Parameters
- n Int32
- The number of points in the quadrature rule.
Return Value
SimpleIntegrationRuleA Clenshaw-Curtis quadrature rule of order n.
Remarks
Clenshaw-Curtis rules are based on Chebyshev polynomials. In practical applications, they are about as good as Gauss-Legendre rules.
The rule is valid over the interval [-1, 1].