Classes
ClassDescription
Base class for all NumericalIntegrator objects who can use error information produced during integration to adapt the size of the step in order to adjust the amount of error introduced into the dependent variables over successive integration steps. This also allows varying the size of the step to arrive at a final stopping time.
BrentFindExtremum
Locates a local extremum (minimum or maximum) of a function using the Brent algorithm.
BrentFindRoot
Locates the root of a function using the Van Wijngaarden, Dekker, Brent algorithm.
Combinatorics
A tool for computing various quantities associated with combinations of objects associated with a finite or countable set of discrete items.
DependentVariableDerivatives
Defines a set of first order differential equations used by a NumericalIntegrator to advance a set of dependent variables over an independent variable step.
DependentVariableDifferentialEquation
An adapter for an OrdinaryDifferentialEquationSystem for use with a NumericalIntegrator. This allows a user to define a function representing a system of differential equations and integrate it over an independent variable.
DoubleFunctionCollection
A collection of functions to be explored by DoubleFunctionExplorer.
DoubleFunctionExplorerProgress
DoubleFunctionExtremumFound
A finding by DoubleFunctionExplorer that a function has a local extremum at a specific Variable.
DoubleFunctionExtremumIndicated
A finding by DoubleFunctionExplorer that a function has a local extremum indicated by three samples.
DoubleFunctionFinding
The base class for findings of the DoubleFunctionExplorer, such as a threshold crossing or an extremum.
DoubleFunctionThresholdCollection
A collection of function thresholds.
DoubleFunctionThresholdCrossingFound
A finding by DoubleFunctionExplorer that a function crossed a threshold at a specific Variable.
DoubleFunctionThresholdCrossingIndicated
A finding by DoubleFunctionExplorer that a threshold crossing is indicated somewhere between two Variables, because the function values are on opposite sides of the threshold at the two Variables. The precise Variable at which the function crosses the threshold may not yet be known.
DurationFunctionCollection
A collection of functions to be explored by DurationFunctionExplorer.
DurationFunctionExplorerProgress
DurationFunctionExtremumFound
A finding by DurationFunctionExplorer that a function has a local extremum at a specific duration.
DurationFunctionExtremumIndicated
A finding by DurationFunctionExplorer that a function has a local extremum indicated by three samples.
DurationFunctionFinding
The base class for findings of the DurationFunctionExplorer, such as a threshold crossing or an extremum.
DurationFunctionThresholdCollection
A collection of function thresholds.
DurationFunctionThresholdCrossingFound
A finding by DurationFunctionExplorer that a function crossed a threshold at a specific duration.
DurationFunctionThresholdCrossingIndicated
A finding by DurationFunctionExplorer that a threshold crossing is indicated somewhere between two durations, because the function values are on opposite sides of the threshold at the two durations. The precise duration at which the function crosses the threshold may not yet be known.
HermitePolynomialApproximation
A technique for polynomial interpolation and extrapolation using a general form of Hermite's algorithm that is valid for any input order.
InterpolationAlgorithm
A type containing an algorithm that can interpolate the value of a function for a new independent variable value from a list of known values of the function at different independent variable values.
JulianDateFunctionCollection
A collection of functions to be explored by JulianDateFunctionExplorer.
JulianDateFunctionExplorerProgress
JulianDateFunctionExtremumFound
A finding by JulianDateFunctionExplorer that a function has a local extremum at a specific date.
JulianDateFunctionExtremumIndicated
A finding by JulianDateFunctionExplorer that a function has a local extremum indicated by three samples.
JulianDateFunctionFinding
The base class for findings of the JulianDateFunctionExplorer, such as a threshold crossing or an extremum.
JulianDateFunctionThresholdCollection
A collection of function thresholds.
JulianDateFunctionThresholdCrossingFound
A finding by JulianDateFunctionExplorer that a function crossed a threshold at a specific date.
JulianDateFunctionThresholdCrossingIndicated
A finding by JulianDateFunctionExplorer that a threshold crossing is indicated somewhere between two dates, because the function values are on opposite sides of the threshold at the two dates. The precise date at which the function crosses the threshold may not yet be known.
LagrangeOrbitVariationOfParameters
Uses variation of parameters (VOP) with a two-body propagator to interpolate orbital positions.
LagrangePolynomialApproximation
A technique for polynomial interpolation using Lagrange's algorithm.
LinearApproximation
A technique for Linear Interpolation.
MultipleStepIntegrator
A subtype of integrator which saves multiple steps of derivative data for more accurate integration.
MultivariableFunctionSolverWarning
When a MultivariableFunctionSolver for some reason doesn't succeed or encounters another issue that is not critical enough to throw an Exception, one of these warning objects can be created to let the user know what happened.
MultivariableFunctionWarning
A warning for when a SolvableMultivariableFunction being run in a MultivariableFunctionSolver encounters a problem due to a solver nested in the function having a problem.
NewtonFindRoot
Locates the root of a function using the Newton-Raphson method.
OrdinaryDifferentialEquationSystem
Describes a system of ordinary differential equations.
PartialDerivativesEvaluator
An interface for an evaluator that takes a JulianDate, order, and list of inputs and returns the partial derivatives of itself with respect to those inputs.
PartialDerivativesFixed

An object with fixed partial derivatives.

PartialDerivativesFixed and PartialDerivativesSum are meant as types to be used during the creation of a PartialDerivativesEvaluator. For example a PartialDerivativesFixed is used to represent an identity partial or a partial with zero partial derivatives, and a PartialDerivativesSum is used to aggregate the partial derivatives of different terms of within a type. You generally should not use either of these types as permanent objects which exist outside of a call to produce an evaluator.

PartialDerivativesSum

An IPartialDifferentiable which produces an evaluator which calculates the resulting partial derivative from a summation of a list of additional IPartialDifferentiable.

PartialDerivativesFixed and PartialDerivativesSum are meant as types to be used during the creation of a PartialDerivativesEvaluator. For example a PartialDerivativesFixed is used to represent a dependent variable with zero partial derivatives, and a PartialDerivativesSum is used to aggregate the partial derivatives of different terms within a type. You generally should not use either of these types as permanent objects which exist outside of a call to produce an evaluator.

RealPolynomial
Represents a polynomial function of one variable with only real coefficients.
Defines a Runge-Kutta integrator which can adapt the size of its steps based on the integration error.
RungeKuttaAlgorithm
The basic Runge-Kutta integration algorithm used by the integrators, it's Butcher Tableau, and the derivative information computed during integration.

y[n+1] = y[n] + h * Sum(i=0 to s){ b[i]*k[i] }

k[i] = f(t[n] + c[i]*h, y[n] + Sum(j=0 to i-1){ a[i,j] * k[j] } )

RungeKuttaFixedStepIntegrator
Defines a Runge-Kutta integrator with a fixed step size.
SolvableMultivariableFunctionOperations
A set of common methods for using a SolvableMultivariableFunction.
TimeIntervalFinderProgress
Contains additional information reported to ReportProgress(Int32, Object) by TimeIntervalFinder.
Interfaces
InterfaceDescription
IDoubleFunctionSampler
An interface to an object that controls how a function of a Double is sampled.
IDurationFunctionSampler
An interface to an object that controls how a function of a Duration is sampled.
IJulianDateFunctionSampler
An interface to an object that controls how a function of a JulianDate is sampled.
IPartialDifferentiable
Classes that implement this interface represent values which have partial derivatives associated with them, and contain the method GetPartialDerivativesEvaluator(IListIPartialDifferentiable, EvaluatorGroup) to produce an evaluator to calculate those partial derivatives.
Delegates
DelegateDescription
The function to be integrated.
OrdinaryDifferentialEquationFunction
A multivariate, vector function representing a set of ordinary differential equations.
Enumerations
EnumerationDescription
BehaviorWhenOnThreshold
Indicates the behavior of a function explorer such as JulianDateFunctionExplorer when a function value exactly equals a threshold value.
BracketToward
Defines the behavior of a root finder such as BrentFindRoot when a sampled function value exactly equals zero and the root finder's ConvergenceCriteria requires convergence on the independent variable.
BrentSolutionType
Indicates on which side of zero a solution must be found.
ConvergenceCriteria
Specifies the criteria to be used in determining convergence.
ExtremumKind
Enumerates possible extremum types.
NewtonRootType
Indicates the type of Root held by a NewtonFindRoot.
ThresholdCrossingSolutionType
Indicates on which side of threshold crossing a solution must be found.