NumericalIntegratorND Class

Performs numerical integration in 2 dimensions.

Definition

Namespace: Extreme.Mathematics.Calculus
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
C# 
public abstract class NumericalIntegratorND : IterativeAlgorithm
Inheritance
Object  →  ManagedIterativeAlgorithm<Double, Double, SolutionReport<Double, Double>>  →  ManagedIterativeAlgorithm<Double>  →  IterativeAlgorithm  →  NumericalIntegratorND
Derived

Remarks

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

ClassDescription
AdaptiveIntegratorNDRepresents a numerical integrator that uses an adaptive algorithm.

Constructors

Properties

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)
ConvergenceTest Gets the convergence test for the algorithm.
(Inherited from IterativeAlgorithm)
ConvergenceTests Gets the collection of convergence tests for the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
CurrentError Gets the estimated error of the approximation of the result at the current iteration.
(Inherited from IterativeAlgorithm)
CurrentResult Gets the approximation of the result at the current iteration.
(Inherited from IterativeAlgorithm)
EstimatedError Gets a value indicating the size of the absolute error of the result.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
EvaluationsNeeded Gets the number of evaluations needed to execute the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
EvaluationsRemaining Gets the number of evaluations still available.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
HasSharedDegreeOfParallelism Indicates whether the degree of parallelism is a property that is shared across instances.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
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 ManagedIterativeAlgorithm<T, TError, TReport>)
IterationsRemaining Gets the number of iterations remaining.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
LowerBounds Gets or sets a vector that specifies the lower bounds of the integration region.
MaxDegreeOfParallelism Gets or sets the maximum degree of parallelism enabled by this instance.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
MaxEvaluations Gets or sets the maximum number of evaluations during the calculation.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
MaxIterationsGets or sets the maximum number of iterations to use when approximating the roots of the target function.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
MinIterations Gets or sets the minimum iterations that have to be performed.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Order Gets the order of the numerical integrator.
ParallelOptions Gets or sets the configuration for the parallel behavior of the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
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 ManagedIterativeAlgorithm<T, TError, TReport>)
SolutionReport Gets the result of an algorithm after it has executed.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Status Gets the AlgorithmStatus following an execution of the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ThrowExceptionOnFailure Gets or sets a value indicating whether to throw an exception when the algorithm fails to converge.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
UpperBounds Gets or sets a vector that specifies the upper bounds of the integration region.

Methods

EqualsDetermines 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)
FinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
GetHashCodeServes as the default hash function.
(Inherited from Object)
GetTypeGets the Type of the current instance.
(Inherited from Object)
IncrementEvaluations() Increments the number of evaluations by one.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
IncrementEvaluations(Int32) Increments the number of evaluations by the specified amount.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Integrate() Numerically integrates a function of one variable.
Integrate(ParallelOptions) Numerically integrates a function of one variable.
Integrate(Vector<Double>, Vector<Double>) Numerically integrates a function of one variable.
Integrate(Func<Vector<Double>, Double>, Vector<Double>, Vector<Double>) Numerically integrates a function of one variable.
Integrate(Vector<Double>, Vector<Double>, ParallelOptions) Numerically integrates a function of one variable.
Integrate(Func<Vector<Double>, Double>, Vector<Double>, Vector<Double>, ParallelOptions) Numerically integrates a function of one variable.
Iterate Performs one iteration of the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Iterated Performs tasks after the iteration is completed, but before the status of the algorithm is finalized.
(Inherited from IterativeAlgorithm)
MemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
OnConvergence Performs any tasks after the main algorithm has converged.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
OnFailure Performs any tasks after the main algorithm has failed to converge.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
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 ManagedIterativeAlgorithm<T, TError, TReport>)
ReportResult Records the results of an algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
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 ManagedIterativeAlgorithm<T, TError, TReport>)
ResetEvaluations Resets the number of evaluations to zero.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Restart Prepares the algorithm to be run again with possibly different inputs.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Run() Runs the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Run(ParallelOptions) Runs the algorithm using the specified parallelization options.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
SetResult Sets the results of an algorithm's execution.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
TestConvergence Checks whether the algorithm has converged.
(Inherited from IterativeAlgorithm)
ThreadSafeIncrementEvaluations() Increments the number of evaluations by one.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ThreadSafeIncrementEvaluations(Int32) Increments the number of evaluations by the specified amount.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ThrowConvergenceException Interprets the AlgorithmStatus and throws the appropriate exception.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ToStringReturns 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)

See Also