Package agi.foundation.numericalmethods.advanced

Contains additional advanced numerical algorithms and supporting types.

See: Description

Interface Summary

Interface	Description
BurdenFairesAdaptiveQuadrature.Integrand.Function	A functional interface for the containing delegate type.
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 IPartialDifferentiable.getPartialDerivativesEvaluator(java.util.List<agi.foundation.numericalmethods.advanced.IPartialDifferentiable>, agi.foundation.EvaluatorGroup) to produce an evaluator to calculate those partial derivatives.
OrdinaryDifferentialEquationFunction.Function	A functional interface for the containing delegate type.

Class Summary

Class	Description
AdaptiveNumericalIntegrator	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.
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.
BurdenFairesAdaptiveQuadrature	An adaptive quadrature numerical integration utility based on Simpson's method.
BurdenFairesAdaptiveQuadrature.Integrand	The function to be integrated.
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.
DoubleFunctionCollection	A collection of functions to be explored by DoubleFunctionExplorer.
DoubleFunctionExplorerProgress	Contains additional information reported to ITrackCalculationProgress.reportProgress(int, java.lang.Object) by DoubleFunctionExplorer.explore(double,double,ITrackCalculationProgress).
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.
DurationFunctionCollection	A collection of functions to be explored by DurationFunctionExplorer.
DurationFunctionExplorerProgress	Contains additional information reported to ITrackCalculationProgress.reportProgress(int, java.lang.Object) by DurationFunctionExplorer.explore(Duration,Duration,ITrackCalculationProgress).
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.
GoldenSectionFindExtremum	Locates a local extremum (minimum or maximum) of a function using the Golden section algorithm.
HermitePolynomialApproximation	A technique for polynomial interpolation and extrapolation using a general form of Hermite's algorithm that is valid for any input order.
InterpolationAlgorithm	An algorithm for computing the interpolated value of a function for a new independent variable value from a list of known values of the function at different independent variable values.
Interpolator	Computes the interpolated 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	Contains additional information reported to ITrackCalculationProgress.reportProgress(int, java.lang.Object) by JulianDateFunctionExplorer.explore(JulianDate,JulianDate,ITrackCalculationProgress).
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.
LagrangeOrbitVariationOfParameters	Uses variation of parameters (VOP) with a two-body propagator to interpolate orbital positions.
LagrangePolynomialApproximation	An algorithm that performs polynomial interpolation using Lagrange's algorithm.
LinearApproximation	A technique for Linear Interpolation.
LineSearchSettings	The settings for a line search used by a MultivariableFunctionDifferentialSolver or ActiveSetSequentialQuadraticProgrammingOptimizer.
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 RuntimeException, 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.
OrdinaryDifferentialEquationFunction	A multivariate, vector function representing a set of ordinary differential equations.
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.
PartialDerivativesSum	An IPartialDifferentiable which produces an evaluator which calculates the resulting partial derivative from a summation of a list of additional IPartialDifferentiable.
RealPolynomial	Represents a polynomial function of one variable with only real coefficients.
RungeKuttaAdaptiveStepIntegrator	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.
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 ITrackCalculationProgress.reportProgress(int, java.lang.Object) by TimeIntervalFinder (get).

Enum Summary

Enum	Description
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 (get) held by a NewtonFindRoot.
ThresholdCrossingSolutionType	Indicates on which side of threshold crossing a solution must be found.

Package agi.foundation.numericalmethods.advanced Description

Contains additional advanced numerical algorithms and supporting types.