RightPointIntegrator Class

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Extreme.Mathematics.Calculus Namespace

RightPointIntegrator Class

Represents a numerical integrator that uses the right-point rule.

Namespace: Extreme.Mathematics.Calculus
Assembly: Extreme.Numerics.Net20 (in Extreme.Numerics.Net20.dll) Version: 3.6.10055.0 (3.6.10077.0)

Syntax

C#
public sealed class RightPointIntegrator : NumericalIntegrator

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

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

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

Remarks

The right point rule is one of the simplest numerical integration algorithms around. The interval is divided into smaller intervals, and the function value in the middle of each subinterval is taken as an approximation for the function over the entire subinterval.

This algorithm is of order 1. 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 generally recommended for general use. It does provide a unique feature in that can produce absolute bounds on the value of the integral of some functions. It produces an upper bound for monotonically increasing integrands, and a lower bound for monotonically decreasing integrands. Complementary bounds are produced by the LeftPointIntegrator.

Inheritance Hierarchy

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

Syntax

Remarks

Inheritance Hierarchy

See Also