SimpsonIntegrator Class

Members See Also

Represents a numerical integrator that uses Simpson's rule.

Namespace: Extreme.Mathematics.Calculus
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
public sealed class SimpsonIntegrator : NumericalIntegrator

Visual Basic (Declaration)
Public NotInheritable Class SimpsonIntegrator _ Inherits NumericalIntegrator

Visual C++
public ref class SimpsonIntegrator sealed : public NumericalIntegrator

F#
[<SealedAttribute>] type SimpsonIntegrator = class inherit NumericalIntegrator end

Remarks

The classic Simpson's rule is one of the simplest numerical integration algorithms around. This algorithm is of order 3. In each iteration, the number of points is doubled. The difference between successive approximations is taken as the estimate for the integration error.

Because the order of the algorithm is so low, use of this algorithm is not recommended. It is here more for historical reasons than for its practical applications.

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.Algorithms..::..ManagedIterativeAlgorithm<(Of <(<'Double>)>)>
    Extreme.Mathematics.Algorithms..::..IterativeAlgorithm
      Extreme.Mathematics.Calculus..::..NumericalIntegrator
        Extreme.Mathematics.Calculus..::..SimpsonIntegrator