SS.Numerics 1.5.0

export function adaptiveBdfIntegrator(OdeSystem system, OdeEvent eventFunction, bool stopAtEvent, double[] initial, double startTime, double endTime, double initialStep, double absoluteTolerance, double relativeTolerance, int maximumSteps, int maximumNonlinearIterations)->BdfIntegrationResult

export function adaptiveOdeStep(double[] highOrder, double[] lowOrder, double absoluteTolerance, double relativeTolerance) -> OdeStepResult

export function adaptiveSimpson(double[] nestedSamples, double spacing, double absoluteTolerance, double relativeTolerance) -> QuadratureResult

export function assessPrecision(PrecisionPolicy policy, double error, double referenceScale, int iterations)->PrecisionAssessment

export record BdfIntegrationResult(public double finalTime, public double[] values, public int acceptedSteps, public int rejectedSteps, public int nonlinearIterations, public double errorEstimate, public double residualNorm, public bool converged, public string method, public string diagnostic)

export record BoundaryValueResult(public double[] coordinates, public double[] values, public double boundaryResidual, public double equationResidual, public double conditionIndicator, public bool converged, public string diagnostic)

export function bracketRoot(ScalarFunction functionValue, double lower, double upper, double absoluteTolerance, double relativeTolerance, int maximumIterations) -> RootResult

export function centralDerivative(double before, double after, double spacing) -> double

export function convergence(double[] residuals, int iterations, double absoluteTolerance, double relativeTolerance, double reference) -> ConvergenceResult

export record ConvergenceResult(public double residual, public int iterations, public bool converged, public string diagnostic)

export record CubicInterpolator(public double[] coordinates, public double[] values, public double[] slopes)

export function explicitEuler(double initial, double[] rates, double step) -> double[]

export function gradientDescent(double[] initial, double[][] gradients, double[] stepSizes, double gradientTolerance) -> OptimizationResult

export function heatExplicitStep(double[] previous, double diffusivity, double spacing, double timeStep, double leftValue, double rightValue) -> PdeSolution

export function incrementalNewton(ScalarResidualTangent model, double initialValue, double finalControl, int steps, double residualTolerance, double minimumTangent, int maximumIterations) -> IncrementalNewtonResult

export record IncrementalNewtonResult(public double value, public double residual, public int iterations, public double[] controls, public double[] values, public int[] iterationsPerStep, public bool converged, public string diagnostic)

export record IntegralEquationSolution(public double[] coordinates, public double[] values, public double residual, public bool converged, public string diagnostic)

export function integrateAdaptive(ScalarFunction integrand, double lower, double upper, double absoluteTolerance, double relativeTolerance, int maximumRefinements) -> QuadratureResult

export function interpolate(CubicInterpolator interpolation, double coordinate) -> double

export function interpolationDerivative(CubicInterpolator interpolation, double coordinate) -> double

export record LinearImplicitSolution(public double[] times, public double[] values, public double residual, public bool converged, public string diagnostic)

export function locateOdeEvents(OdeEvent eventFunction, double[] times, double[][] states, string direction, bool terminal, double timeTolerance, int maximumIterations)->OdeEventLocations

export record NonlinearSolverStatus(public string status, public bool converged, public bool singular, public bool slow, public bool infeasible, public double residualNorm, public int iterations, public string diagnostic)

export record NonlinearSystemResult(public double[] values, public double residualNorm, public int iterations, public bool converged, public string diagnostic)

export interface ObjectiveFunction

export interface OdeEvent

export record OdeEventLocations(public double[] times, public int[] intervalIndices, public int[] directions, public bool terminalEventOccurred, public int evaluations, public string diagnostic)

export record OdeSolution(public double finalTime, public double[] values, public int acceptedSteps, public int rejectedSteps, public double errorEstimate, public bool converged, public string diagnostic)

export record OdeStepResult(public double[] values, public double errorEstimate, public bool accepted, public string diagnostic)

export interface OdeSystem

export record OptimizationResult(public double[] point, public double value, public int iterations, public double gradientNorm, public bool converged, public string diagnostic)

export function optimize(ObjectiveFunction objective, double[] initial, double initialStep, double gradientTolerance, int maximumIterations) -> OptimizationResult

export function pchip(double[] coordinates, double[] values) -> CubicInterpolator

export record PdeSolution(public double[] coordinates, public double[] values, public double residual, public bool converged, public string diagnostic)

export function policyTolerance(PrecisionPolicy policy, double referenceScale)->double

export record PrecisionAssessment(public bool accepted, public double error, public double tolerance, public int iterations, public string scalarType, public string diagnostic)

export function precisionPolicy(string name, string scalarType, double absoluteTolerance, double relativeTolerance, int maximumIterations, bool deterministicReductions, bool allowPrecisionPromotion)->PrecisionPolicy

export record PrecisionPolicy(public string name, public string scalarType, public double absoluteTolerance, public double relativeTolerance, public int maximumIterations, public bool deterministicReductions, public bool allowPrecisionPromotion)

export record QuadratureResult(public double value, public double errorEstimate, public int intervals, public bool converged, public string diagnostic)

export function rk4Step(double[] state, double[] firstRate, double[] secondRate, double[] thirdRate, double[] fourthRate, double step) -> double[]

export function robustNonlinearSystemStatus(NonlinearSystemResult result, double initialResidual, double infeasibilityThreshold, int slowIterationThreshold)->NonlinearSolverStatus

export function rootMeanSquare(double[] residuals) -> double

export record RootResult(public double root, public double residual, public double lower, public double upper, public int iterations, public bool converged, public string diagnostic)

export function sampledMinimum(double[] points, double[] values, double tolerance) -> OptimizationResult

export interface ScalarFunction

export interface ScalarResidualTangent

export function scaledResidualNorm(double[] residuals, PrecisionPolicy policy, double referenceScale)->double

export function simpson(double[] samples, double spacing) -> double

export function solveBoundaryValueProblem(double[] coordinates, double[] forcing, double leftValue, double rightValue, double minimumPivot, double conditionLimit)->BoundaryValueResult

export function solveConstantFredholm(double forcing, double lambda, double lengthValue, int intervals) -> IntegralEquationSolution

export function solveDenseNonlinear(VectorFunction system, double[] initial, double absoluteTolerance, double relativeTolerance, int maximumIterations, double jacobianStep, double minimumPivot) -> NonlinearSystemResult

export function solveLinearImplicit(double lambda, double initial, double startTime, double step, int steps) -> LinearImplicitSolution

export function solveOde(OdeSystem system, double[] initial, double startTime, double endTime, double initialStep, double absoluteTolerance, double relativeTolerance, int maximumSteps) -> OdeSolution

export function solvePoisson1D(double[] source, double spacing, double leftValue, double rightValue) -> PdeSolution

export function solveStiffOde(OdeSystem system, OdeEvent eventFunction, bool stopAtEvent, double[] initial, double startTime, double endTime, double initialStep, double absoluteTolerance, double relativeTolerance, int maximumSteps, int maximumNewtonIterations) -> StiffOdeSolution

export function stableSum(double[] values)->double

export record StiffOdeSolution(public double finalTime, public double[] values, public int acceptedSteps, public int rejectedSteps, public int newtonIterations, public double errorEstimate, public double residualNorm, public bool eventOccurred, public double eventTime, public bool converged, public string diagnostic)

export function trapezoid(double[] samples, double spacing) -> double

export function trapezoidCoordinates(double[] coordinates, double[] samples) -> double

export interface VectorFunction

export function weightedQuadrature(double[] samples, double[] weights, double scale) -> double