Extreme Optimization™: Complexity made simple.

Math and Statistics
Libraries for .NET

  • Home
  • Features
    • Math Library
    • Vector and Matrix Library
    • Statistics Library
    • Performance
    • Usability
  • Documentation
    • Introduction
    • Math Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Reference
  • Resources
    • Downloads
    • QuickStart Samples
    • Sample Applications
    • Frequently Asked Questions
    • Technical Support
  • Blog
  • Order
  • Company
    • About us
    • Testimonials
    • Customers
    • Press Releases
    • Careers
    • Partners
    • Contact us
Introduction
Deployment Guide
Nuget packages
Configuration
Using Parallelism
Expand Mathematics Library User's GuideMathematics Library User's Guide
Expand Vector and Matrix Library User's GuideVector and Matrix Library User's Guide
Expand Data Analysis Library User's GuideData Analysis Library User's Guide
Expand Statistics Library User's GuideStatistics Library User's Guide
Expand Data Access Library User's GuideData Access Library User's Guide
Expand ReferenceReference
  • Extreme Optimization
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Nuget packages
    • Configuration
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Data Access Library User's Guide
    • Reference
  • Reference
    • Extreme
    • Extreme.Collections
    • Extreme.Data
    • Extreme.Data.Json
    • Extreme.Data.Matlab
    • Extreme.Data.R
    • Extreme.Data.Stata
    • Extreme.Data.Text
    • Extreme.DataAnalysis
    • Extreme.DataAnalysis.Linq
    • Extreme.DataAnalysis.Models
    • Extreme.Mathematics
    • Extreme.Mathematics.Algorithms
    • Extreme.Mathematics.Calculus
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations
    • Extreme.Mathematics.Curves
    • Extreme.Mathematics.Curves.Nonlinear
    • Extreme.Mathematics.Distributed
    • Extreme.Mathematics.EquationSolvers
    • Extreme.Mathematics.Generic
    • Extreme.Mathematics.LinearAlgebra
    • Extreme.Mathematics.LinearAlgebra.Implementation
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners
    • Extreme.Mathematics.Optimization
    • Extreme.Mathematics.Optimization.LineSearches
    • Extreme.Mathematics.Random
    • Extreme.Mathematics.SignalProcessing
    • Extreme.Providers
    • Extreme.Providers.InteropServices
    • Extreme.Statistics
    • Extreme.Statistics.Distributions
    • Extreme.Statistics.Multivariate
    • Extreme.Statistics.Tests
    • Extreme.Statistics.TimeSeriesAnalysis
  • Extreme.Mathematics.Calculus
    • AdaptiveIntegrator Class
    • AdaptiveIntegrator2D Class
    • AdaptiveIntegrator2DRule Enumeration
    • AdaptiveIntegrator3DRule Enumeration
    • AdaptiveIntegratorND Class
    • AdaptiveIntegratorNDRule Enumeration
    • DifferencesDirection Enumeration
    • DoubleExponentialIntegrator 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
  • AdaptiveIntegrator Class
    • AdaptiveIntegrator Constructors
    • Properties
    • Methods
  • Methods
    • Clone Method
    • GetSingularities Method
    • Integrate Method Overloads
    • Iterate Method
    • Iterated Method
    • OnInit Method
    • SetSingularities Method
  • GetSingularities Method

AdaptiveIntegratorGetSingularities Method

Extreme Optimization Numerical Libraries for .NET Professional
Returns an array of Double values containing the locations of singularities of the integrand inside the integration interval.

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

C#
VB
C++
F#
Copy
public double[] GetSingularities()
Public Function GetSingularities As Double()
public:
array<double>^ GetSingularities()
member GetSingularities : unit -> float[] 

Return Value

Type: Double
A Double array.
Remarks

This property should contain all points inside the integration interval where the numerical integration might encounter difficulties. These can be of two kinds:

  • The integrand has a singularity at the specified point. Even though the function value goes to infinity near the point, the value of the integral is finite.
  • The integrand has a discontinuity at the specified point. The sudden jump in function values would cause convergence to be very slow.

Only interior problem points should be listed. The bounds of the integration interval are treated separately.

When there is at least one interior singularity or discontinuity, the UseExtrapolation property is automatically set to true, and extrapolation is used to improve convergence for the integration around the problem point(s).

See Also

Reference

AdaptiveIntegrator Class
Extreme.Mathematics.Calculus Namespace

Copyright (c) 2004-2021 ExoAnalytics Inc.

Send comments on this topic to support@extremeoptimization.com

Copyright © 2004-2021, Extreme Optimization. All rights reserved.
Extreme Optimization, Complexity made simple, M#, and M Sharp are trademarks of ExoAnalytics Inc.
Microsoft, Visual C#, Visual Basic, Visual Studio, Visual Studio.NET, and the Optimized for Visual Studio logo
are registered trademarks of Microsoft Corporation.