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    • Extreme.Collections Namespace
    • Extreme.Mathematics Namespace
    • Extreme.Mathematics.Algorithms Namespace
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  • Extreme.Mathematics.Calculus Namespace
    • AdaptiveIntegrator Class
    • AdaptiveIntegrator2D Class
    • AdaptiveIntegrator2DRule Enumeration
    • AdaptiveIntegrator3DRule Enumeration
    • AdaptiveIntegratorND Class
    • AdaptiveIntegratorNDRule Enumeration
    • DifferencesDirection Enumeration
    • GaussKronrodIntegrator Class
    • GaussKronrodIntegrator15 Class
    • GaussKronrodIntegrator21 Class
    • GaussKronrodIntegrator31 Class
    • GaussKronrodIntegrator41 Class
    • GaussKronrodIntegrator51 Class
    • GaussKronrodIntegrator61 Class
    • IntegrationRule Class
    • IntegrationRuleResult Structure
    • LeftPointIntegrator Class
    • MidpointIntegrator Class
    • NonAdaptiveGaussKronrodIntegrator Class
    • NumericalIntegrator Class
    • NumericalIntegrator2D Class
    • NumericalIntegratorND Class
    • Repeated1DIntegrator2D Class
    • Repeated1DIntegratorDirection Enumeration
    • RightPointIntegrator Class
    • RombergIntegrator Class
    • SimpsonIntegrator Class
    • TrapezoidIntegrator Class
  • RightPointIntegrator Class
    • Members
    • RightPointIntegrator Constructor
    • Methods
    • Properties
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RightPointIntegrator Class

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

Namespace: Extreme.Mathematics.Calculus
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 5.0.13017.0 (5.0.13248.0)

Syntax

C#
public sealed class RightPointIntegrator : NumericalIntegrator
Visual Basic
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..::..ManagedIterativeAlgorithm<(Of <(<'Double>)>)>
    Extreme.Mathematics.Algorithms..::..IterativeAlgorithm
      Extreme.Mathematics.Calculus..::..NumericalIntegrator
        Extreme.Mathematics.Calculus..::..RightPointIntegrator

Version Information

Numerical Libraries

Supported in: 5.0, 4.x, 3.6

See Also

RightPointIntegrator Members
Extreme.Mathematics.Calculus Namespace
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