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  • AdaptiveIntegrator Class
  • AdaptiveIntegrator2D Class
  • AdaptiveIntegrator2DRule Enumeration
  • AdaptiveIntegrator3DRule Enumeration
  • AdaptiveIntegratorND Class
  • AdaptiveIntegratorNDRule Enumeration
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  • 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
• NumericalIntegrator2D Class
  • NumericalIntegrator2D Constructor
  • Properties
  • Methods

NumericalIntegrator2D Class

Extreme Optimization Numerical Libraries for .NET Professional

Performs numerical integration in 2 dimensions.

Inheritance Hierarchy

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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.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.17114.0)

Syntax

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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

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	Name	Description
	NumericalIntegrator2D	Constructs a new NumericalIntegrator2D object.

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Properties

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	Name	Description
	AbsoluteTolerance	Gets or sets the absolute tolerance used in the convergence test. (Inherited from IterativeAlgorithm.)
	ConvergenceCriterion	Gets or sets a value specifying the criterion that is to be used in the convergence test for the algorithm. (Inherited from IterativeAlgorithm.)
	ConvergenceMode	Gets the convergence mode for the algorithm. (Inherited from IterativeAlgorithm.)
	ConvergenceTest	Gets the convergence test for the algorithm. (Inherited from IterativeAlgorithm.)
	ConvergenceTests	Gets the collection of convergence tests for the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ConvergenceTests	Gets the collection of convergence tests for the algorithm. (Inherited from ManagedIterativeAlgorithmT.)
	CurrentError	Gets the estimated error of the approximation of the result at the current iteration. (Inherited from IterativeAlgorithm.)
	CurrentLowerBound	Gets the lower bound of the convergence interval at the current iteration. (Inherited from IterativeAlgorithm.)
	CurrentResult	Gets the approximation of the result at the current iteration. (Inherited from IterativeAlgorithm.)
	CurrentUpperBound	Gets the upper bound of the convergence interval at the current iteration. (Inherited from IterativeAlgorithm.)
	EstimatedError	Gets a value indicating the size of the absolute error of the result. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	EstimatedError	Gets a value indicating the size of the absolute error of the result. (Inherited from ManagedIterativeAlgorithmT.)
	EvaluationsNeeded	Gets the number of evaluations needed to execute the algorithm. (Inherited from ManagedIterativeAlgorithmT.)
	EvaluationsRemaining	Gets the number of evaluations still available. (Inherited from ManagedIterativeAlgorithmT.)
	HasSharedDegreeOfParallelism	Indicates whether the degree of parallelism is a property that is shared across instances. (Inherited from ManagedIterativeAlgorithmT.)
	Integrand	Gets or sets the function to integrate.
	IterationsNeeded	Gets the number of iterations needed by the algorithm to reach the desired accuracy. (Inherited from ManagedIterativeAlgorithmT.)
	IterationsRemaining	Gets the number of iterations remaining. (Inherited from ManagedIterativeAlgorithmT.)
	MaxDegreeOfParallelism	Gets or sets the maximum degree of parallelism enabled by this instance. (Inherited from ManagedIterativeAlgorithmT.)
	MaxEvaluations	Gets or sets the maximum number of evaluations during the calculation. (Inherited from ManagedIterativeAlgorithmT.)
	MaxIterations	Gets or sets the maximum number of iterations to use when approximating the roots of the target function. (Inherited from ManagedIterativeAlgorithmT.)
	MinIterations	Gets or sets the minimum iterations that have to be performed. (Inherited from ManagedIterativeAlgorithmT.)
	Order	Gets the order of the numerical integrator.
	ParallelOptions	Gets the configuration for the parallel behavior of the algorithm. (Inherited from ManagedIterativeAlgorithmT.)
	RelativeTolerance	Gets or sets the relative tolerance used in the convergence test. (Inherited from IterativeAlgorithm.)
	Result	Gets the result of an algorithm after it has executed. (Inherited from ManagedIterativeAlgorithmT.)
	SolutionReport	Gets the result of an algorithm after it has executed. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	SolutionReport	Gets the result of an algorithm after it has executed. (Inherited from ManagedIterativeAlgorithmT.)
	Status	Gets the AlgorithmStatus following an execution of the algorithm. (Inherited from ManagedIterativeAlgorithmT.)
	ThrowExceptionOnFailure	Gets or sets a value indicating whether to throw an exception when the algorithm fails to converge. (Inherited from ManagedIterativeAlgorithmT.)
	XLowerBound	Gets or sets the lower bound of the integration region in the X direction.
	XUpperBound	Gets or sets the upper bound of the integration region in the X direction.
	YLowerBound	Gets or sets the lower bound of the integration region in the Y direction.
	YUpperBound	Gets or sets the upper bound of the integration region in the Y direction.

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Methods

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	Name	Description
	CreateSolutionReport	Creates a solution report specific to the algorithm. (Inherited from ManagedIterativeAlgorithmT.)
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	ErrorEvaluator	Returns the estimated error for testing whether the algorithm has converged. (Inherited from IterativeAlgorithm.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	IncrementEvaluations	Increments the number of evaluations by one. (Inherited from ManagedIterativeAlgorithmT.)
	IncrementEvaluations(Int32)	Increments the number of evaluations by the specified amount. (Inherited from ManagedIterativeAlgorithmT.)
	Integrate	Numerically integrates a function of one variable.
	Integrate(ParallelOptions)	Numerically integrates a function of one variable.
	Integrate(Double, Double, Double, Double)	Numerically integrates a function of one variable.
	Integrate(Double, Double, Double, Double, ParallelOptions)	Numerically integrates a function of one variable.
	Integrate(FuncDouble, Double, Double, Double, Double, Double, Double)	Numerically integrates a function of one variable.
	Integrate(FuncDouble, Double, Double, Double, Double, Double, Double, ParallelOptions)	Numerically integrates a function of one variable.
	Iterate	Performs one iteration of the algorithm. (Inherited from ManagedIterativeAlgorithmT.)
	Iterated	Performs tasks after the iteration is completed, but before the status of the algorithm is finalized. (Inherited from IterativeAlgorithm.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	OnConvergence	Performs any tasks after the main algorithm has converged. (Inherited from ManagedIterativeAlgorithmT.)
	OnFailure	Performs any tasks after the main algorithm has failed to converge. (Inherited from ManagedIterativeAlgorithmT.)
	OnInit	Performs initialization tasks when the algorithm is first run. (Inherited from IterativeAlgorithm.)
	ReportFailure(AlgorithmStatus)	Reports that the algoritm has failed. No further iterations will be performed. (Inherited from IterativeAlgorithm.)
	ReportFailure(T, TError, AlgorithmStatus)	Records the results of an algorithm in case it fails. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ReportFailure(T, Double, AlgorithmStatus)	Records the results of an algorithm in case it fails. (Inherited from ManagedIterativeAlgorithmT.)
	ReportResult(T, TError)	Records the results of an algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ReportResult(T, Double)	Records the results of an algorithm. (Inherited from ManagedIterativeAlgorithmT.)
	ReportSuccess	Reports that the algoritm has succeeded. No further iterations will be performed. (Inherited from IterativeAlgorithm.)
	ReportSuccess(T, TError)	Records the results of a algorithm that converged successfully. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ReportSuccess(T, Double)	Records the results of a algorithm that converged successfully. (Inherited from ManagedIterativeAlgorithmT.)
	ResetEvaluations	Resets the number of evaluations to zero. (Inherited from ManagedIterativeAlgorithmT.)
	Restart	Prepares the algorithm to be run again with possibly different inputs. (Inherited from ManagedIterativeAlgorithmT.)
	Run	Runs the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Run	Runs the algorithm. (Inherited from ManagedIterativeAlgorithmT.)
	Run(ParallelOptions)	Runs the algorithm using the specified parallelization options. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Run(ParallelOptions)	Runs the algorithm using the specified parallelization options. (Inherited from ManagedIterativeAlgorithmT.)
	SetResult(T, TError, AlgorithmStatus, Int32)	Sets the results of an algorithm's execution. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	SetResult(T, Double, AlgorithmStatus, Int32)	Sets the results of an algorithm's execution. (Inherited from ManagedIterativeAlgorithmT.)
	TestConvergence	Checks whether the algorithm has converged. (Inherited from IterativeAlgorithm.)
	ThreadSafeIncrementEvaluations	Increments the number of evaluations by one. (Inherited from ManagedIterativeAlgorithmT.)
	ThreadSafeIncrementEvaluations(Int32)	Increments the number of evaluations by the specified amount. (Inherited from ManagedIterativeAlgorithmT.)
	ThrowConvergenceException	Interprets the AlgorithmStatus and throws the appropriate exception. (Inherited from ManagedIterativeAlgorithmT.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)
	UpdateCurrentResult	Updates the current approximation in a point-wise convergence. (Inherited from IterativeAlgorithm.)
	ValueEvaluator	Returns the value to compare the estimated error to when testing whether the algorithm has converged. (Inherited from IterativeAlgorithm.)

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Remarks

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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:

Class	Description
AdaptiveIntegrator2D	Represents a numerical integrator that uses an adaptive algorithm.
Repeated1DIntegrator2D	Represents a numerical integrator that uses repeated one-dimensional integration.

Version Information

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Numerical Libraries

Supported in: 6.0, 5.x, 4.x

See Also

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Reference

Extreme.Mathematics.Calculus Namespace

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