GaussKronrodRule<T> Class

public class GaussKronrodRule<T> : IntegrationRule<T>
where T : Object, INumber<T>

Public Class GaussKronrodRule(Of T As {Object, INumber(Of T)})
	Inherits IntegrationRule(Of T)

generic<typename T>
where T : Object, INumber<T>
public ref class GaussKronrodRule : public IntegrationRule<T>

type GaussKronrodRule<'T when 'T : Object and INumber<'T>> = 
    class
        inherit IntegrationRule<'T>
    end

Inheritance

Object  →  IntegrationRule<T>  →  GaussKronrodRule<T>

Type Parameters

T

GaussKronrodRule is the abstract base class for classes that represent Gauss-Kronrod integration rules. Gauss-Kronrod methods use two integration formulas of different orders where the integration points of the lower order formula are also integration points for the higher order formula. This gives a way to estimate the integration error without doing any extra function evaluations.

Classes derived from GaussKronrodRule apply the integration formula to the entire integration interval. They are used most often as integration rules for subintervals in adaptive integration algorithms as implemented by the AdaptiveIntegrator class.

A number of ready-to-use integration rules have been supplied, as listed in the table below.

To create a Gauss-Kronrod integrator of a different order, derive your class from GaussKronrodRule, and implement the GetGaussWeights(), GetKronrodWeights(), and GetKronrodPoints() properties. You should also override the Order property to return the order of the integration rule.

Reference