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  • Extreme.Mathematics.Calculus
    • AdaptiveIntegrator Class
    • AdaptiveIntegrator2D Class
    • AdaptiveIntegrator2DRule Enumeration
    • AdaptiveIntegrator3DRule Enumeration
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    • LeftPointIntegrator Class
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    • NumericalIntegrator Class
    • NumericalIntegrator2D Class
    • NumericalIntegratorND Class
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    • Repeated1DIntegratorDirection Enumeration
    • RightPointIntegrator Class
    • RombergIntegrator Class
    • SimpsonIntegrator Class
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  • NumericalIntegrator2D Class
    • NumericalIntegrator2D Constructor
    • Properties
    • Methods

NumericalIntegrator2D Class

Extreme Optimization Numerical Libraries for .NET Professional
Performs numerical integration in 2 dimensions.
Inheritance Hierarchy

SystemObject
  Extreme.Mathematics.AlgorithmsManagedIterativeAlgorithmDouble, Double, SolutionReportDouble, Double
    Extreme.Mathematics.AlgorithmsManagedIterativeAlgorithmDouble
      Extreme.Mathematics.AlgorithmsIterativeAlgorithm
        Extreme.Mathematics.CalculusNumericalIntegrator2D
          Extreme.Mathematics.CalculusAdaptiveIntegrator2D
          Extreme.Mathematics.CalculusRepeated1DIntegrator2D

Namespace:  Extreme.Mathematics.Calculus
Assembly:  Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1
Syntax

C#
VB
C++
F#
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public abstract class NumericalIntegrator2D : IterativeAlgorithm
Public MustInherit Class NumericalIntegrator2D
	Inherits IterativeAlgorithm
public ref class NumericalIntegrator2D abstract : public IterativeAlgorithm
[<AbstractClassAttribute>]
type NumericalIntegrator2D =  
    class
        inherit IterativeAlgorithm
    end

The NumericalIntegrator2D type exposes the following members.

Constructors

  NameDescription
Protected methodNumericalIntegrator2D
Constructs a new NumericalIntegrator2D object.
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Properties

  NameDescription
Public propertyAbsoluteTolerance
Gets or sets the absolute tolerance used in the convergence test.
(Inherited from IterativeAlgorithm.)
Public propertyConvergenceCriterion
Gets or sets a value specifying the criterion that is to be used in the convergence test for the algorithm.
(Inherited from IterativeAlgorithm.)
Public propertyConvergenceTest
Gets the convergence test for the algorithm.
(Inherited from IterativeAlgorithm.)
Public propertyConvergenceTests
Gets the collection of convergence tests for the algorithm.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected propertyCurrentError
Gets the estimated error of the approximation of the result at the current iteration.
(Inherited from IterativeAlgorithm.)
Protected propertyCurrentResult
Gets the approximation of the result at the current iteration.
(Inherited from IterativeAlgorithm.)
Public propertyEstimatedError
Gets a value indicating the size of the absolute error of the result.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyEvaluationsNeeded
Gets the number of evaluations needed to execute the algorithm.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected propertyEvaluationsRemaining
Gets the number of evaluations still available.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyHasSharedDegreeOfParallelism
Indicates whether the degree of parallelism is a property that is shared across instances.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyIntegrand
Gets or sets the function to integrate.
Public propertyIterationsNeeded
Gets the number of iterations needed by the algorithm to reach the desired accuracy.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected propertyIterationsRemaining
Gets the number of iterations remaining.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyMaxDegreeOfParallelism
Gets or sets the maximum degree of parallelism enabled by this instance.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyMaxEvaluations
Gets or sets the maximum number of evaluations during the calculation.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyMaxIterations
Gets or sets the maximum number of iterations to use when approximating the roots of the target function.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyMinIterations
Gets or sets the minimum iterations that have to be performed.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyOrder
Gets the order of the numerical integrator.
Public propertyParallelOptions
Gets or sets the configuration for the parallel behavior of the algorithm.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyRelativeTolerance
Gets or sets the relative tolerance used in the convergence test.
(Inherited from IterativeAlgorithm.)
Public propertyResult
Gets the result of an algorithm after it has executed.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertySolutionReport
Gets the result of an algorithm after it has executed.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyStatus
Gets the AlgorithmStatus following an execution of the algorithm.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyThrowExceptionOnFailure
Gets or sets a value indicating whether to throw an exception when the algorithm fails to converge.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public propertyXLowerBound
Gets or sets the lower bound of the integration region in the X direction.
Public propertyXUpperBound
Gets or sets the upper bound of the integration region in the X direction.
Public propertyYLowerBound
Gets or sets the lower bound of the integration region in the Y direction.
Public propertyYUpperBound
Gets or sets the upper bound of the integration region in the Y direction.
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Methods

  NameDescription
Public methodEquals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
Protected methodErrorEvaluator
Returns the estimated error for testing whether the algorithm has converged.
(Inherited from IterativeAlgorithm.)
Protected methodFinalize
Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object.)
Public methodGetHashCode
Serves as the default hash function.
(Inherited from Object.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Protected methodIncrementEvaluations
Increments the number of evaluations by one.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodIncrementEvaluations(Int32)
Increments the number of evaluations by the specified amount.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public methodIntegrate
Numerically integrates a function of one variable.
Public methodIntegrate(ParallelOptions)
Numerically integrates a function of one variable.
Public methodIntegrate(Double, Double, Double, Double)
Numerically integrates a function of one variable.
Public methodIntegrate(Double, Double, Double, Double, ParallelOptions)
Numerically integrates a function of one variable.
Public methodIntegrate(FuncDouble, Double, Double, Double, Double, Double, Double)
Numerically integrates a function of one variable.
Public methodIntegrate(FuncDouble, Double, Double, Double, Double, Double, Double, ParallelOptions)
Numerically integrates a function of one variable.
Protected methodIterate
Performs one iteration of the algorithm.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodIterated
Performs tasks after the iteration is completed, but before the status of the algorithm is finalized.
(Inherited from IterativeAlgorithm.)
Protected methodMemberwiseClone
Creates a shallow copy of the current Object.
(Inherited from Object.)
Protected methodOnConvergence
Performs any tasks after the main algorithm has converged.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodOnFailure
Performs any tasks after the main algorithm has failed to converge.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodOnInit
Performs initialization tasks when the algorithm is first run.
(Inherited from IterativeAlgorithm.)
Protected methodReportFailure(AlgorithmStatus)
Reports that the algoritm has failed. No further iterations will be performed.
(Inherited from IterativeAlgorithm.)
Protected methodReportFailure(T, TError, AlgorithmStatus)
Records the results of an algorithm in case it fails.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodReportResult
Records the results of an algorithm.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodReportSuccess
Reports that the algoritm has succeeded. No further iterations will be performed.
(Inherited from IterativeAlgorithm.)
Protected methodReportSuccess(T, TError)
Records the results of a algorithm that converged successfully.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodResetEvaluations
Resets the number of evaluations to zero.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodRestart
Prepares the algorithm to be run again with possibly different inputs.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodRun
Runs the algorithm.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodRun(ParallelOptions)
Runs the algorithm using the specified parallelization options.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodSetResult
Sets the results of an algorithm's execution.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodTestConvergence
Checks whether the algorithm has converged.
(Inherited from IterativeAlgorithm.)
Protected methodThreadSafeIncrementEvaluations
Increments the number of evaluations by one.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodThreadSafeIncrementEvaluations(Int32)
Increments the number of evaluations by the specified amount.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Protected methodThrowConvergenceException
Interprets the AlgorithmStatus and throws the appropriate exception.
(Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
Protected methodUpdateCurrentResult
Updates the current approximation in a point-wise convergence.
(Inherited from IterativeAlgorithm.)
Protected methodValueEvaluator
Returns the value to compare the estimated error to when testing whether the algorithm has converged.
(Inherited from IterativeAlgorithm.)
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Remarks

NumericalIntegrator2D is the base class for classes that implement numerical integration algorithms in two dimensions. It cannot be instantiated directly. Instead, use one of the derived classes:

ClassDescription
AdaptiveIntegrator2DRepresents a numerical integrator that uses an adaptive algorithm.
Repeated1DIntegrator2DRepresents a numerical integrator that uses repeated one-dimensional integration.

See Also

Reference

Extreme.Mathematics.Calculus Namespace

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