Extreme.Mathematics.Calculus Namespace

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

Classes

AdaptiveIntegrator Represents a numerical integrator that uses an adaptive algorithm based on a Gauss-Kronrod integration rule.
AdaptiveIntegrator2D Represents a numerical integrator that uses an adaptive algorithm.
AdaptiveIntegratorND Represents a numerical integrator that integrates over multiple dimensions using an adaptive algorithm.
DoubleExponentialIntegrator Represents a numerical integrator that uses double exponential integration.
IntegrationRule Represents a method to compute an approximation to an integral together with an estimate of the error.
LeftPointIntegrator Represents a numerical integrator that uses the left point rule.
MidpointIntegrator Represents a numerical integrator that uses the mid-point rule.
NonAdaptiveGaussKronrodIntegrator Represents a numerical integrator that uses a non-adaptive 87-point Gauss-Kronrod rule.
NumericalIntegrator Serves as an abstract base class for classes that represent an implementation of a numerical integration algorithm.
NumericalIntegrator2D Performs numerical integration in 2 dimensions.
NumericalIntegratorND Performs numerical integration in 2 dimensions.
Repeated1DIntegrator2D Represents a numerical integrator that uses an adaptive algorithm.
RightPointIntegrator Represents a numerical integrator that uses the right-point rule.
RombergIntegrator Represents a numerical integrator that uses Romberg's method.
SimpsonIntegrator Represents a numerical integrator that uses Simpson's rule.
TrapezoidIntegrator Represents a numerical integrator that uses the trapezoid rule.

Structures

IntegrationRuleResult Represents the result of evaulating an IntegrationRule.

Enumerations

AdaptiveIntegrator2DRule Enumerates the integration rules available for two-dimensional numerical integration.
AdaptiveIntegrator3DRule Enumerates the integration rules available for three-dimensional numerical integration.
AdaptiveIntegratorNDRule Enumerates the integration rules available for three-dimensional numerical integration.
DifferencesDirection Enumerates the possible values that specify the interval to be used in numerical differentiation.
Repeated1DIntegratorDirection Enumerates over which direction repeated integration should integrate first.