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Introduction
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Expand Vector and Matrix Library User's GuideVector and Matrix Library User's Guide
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  • Documentation
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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
    • LeftPointIntegrator Class
    • MidpointIntegrator Class
    • NonAdaptiveGaussKronrodIntegrator Class
    • NumericalIntegrator Class
    • NumericalIntegrator2D Class
    • NumericalIntegratorND Class
    • Repeated1DIntegrator2D Class
    • Repeated1DIntegratorDirection Enumeration
    • RightPointIntegrator Class
    • RombergIntegrator Class
    • SimpsonIntegrator Class
    • TrapezoidIntegrator Class
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Extreme.Mathematics.Calculus Namespace

The Extreme.Mathematics.Calculus namespace contains classes for the numerical integration and differentiation of functions.

Classes

  ClassDescription
Public classAdaptiveIntegrator
Represents a numerical integrator that uses an adaptive algorithm based on a Gauss-Kronrod integration rule.
Public classAdaptiveIntegrator2D
Represents a numerical integrator that uses an adaptive algorithm.
Public classAdaptiveIntegratorND
Represents a numerical integrator that integrates over multiple dimensions using an adaptive algorithm.
Public classGaussKronrodIntegrator
Abstract base class for Gauss-Kronrod type numerical integrators.
Public classGaussKronrodIntegrator15
Represents a numerical integrator that uses a 15 point Gauss-Kronrod rule.
Public classGaussKronrodIntegrator21
Represents a numerical integrator that uses a 21 point Gauss-Kronrod rule.
Public classGaussKronrodIntegrator31
Represents a numerical integrator that uses a 31 point Gauss-Kronrod rule.
Public classGaussKronrodIntegrator41
Represents a numerical integrator that uses a 41 point Gauss-Kronrod rule.
Public classGaussKronrodIntegrator51
Represents a numerical integrator that uses a 51 point Gauss-Kronrod rule.
Public classGaussKronrodIntegrator61
Represents a numerical integrator that uses a 61 point Gauss-Kronrod rule.
Public classLeftPointIntegrator
Represents a numerical integrator that uses the left point rule.
Public classMidpointIntegrator
Represents a numerical integrator that uses the mid-point rule.
Public classNonAdaptiveGaussKronrodIntegrator
Represents a numerical integrator that uses a non-adaptive 87-point Gauss-Kronrod rule.
Public classNumericalIntegrator
Serves as an abstract base class for classes that represent an implementation of a numerical integration algorithm.
Public classNumericalIntegrator2D
Performs numerical integration in 2 dimensions.
Public classNumericalIntegratorND
Performs numerical integration in 2 dimensions.
Public classRepeated1DIntegrator2D
Represents a numerical integrator that uses an adaptive algorithm.
Public classRightPointIntegrator
Represents a numerical integrator that uses the right-point rule.
Public classRombergIntegrator
Represents a numerical integrator that uses Romberg's method.
Public classSimpsonIntegrator
Represents a numerical integrator that uses Simpson's rule.
Public classTrapezoidIntegrator
Represents a numerical integrator that uses the trapezoid rule.

Enumerations

  EnumerationDescription
Public enumerationAdaptiveIntegrator2DRule
Enumerates the integration rules available for two-dimensional numerical integration.
Public enumerationAdaptiveIntegrator3DRule
Enumerates the integration rules available for three-dimensional numerical integration.
Public enumerationAdaptiveIntegratorNDRule
Enumerates the integration rules available for three-dimensional numerical integration.
Public enumerationDifferencesDirection
Enumerates the possible values that specify the interval to be used in numerical differentiation.
Public enumerationRepeated1DIntegratorDirection
Enumerates over which direction repeated integration should integrate first.

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