MultiFunctionMath.IntegrateConservativeOde Method (Func<Double, IReadOnlyList<Double>, IReadOnlyList<Double>>, Double, IReadOnlyList<Double>, IReadOnlyList<Double>, Double)

Solves a set of coupled, conservative second order ordinary differential equation initial value problems.

Namespace: Meta.Numerics.Analysis
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4

Syntax

C++

Copy

public static MultiOdeResult IntegrateConservativeOde(
	Func<double, IReadOnlyList<double>, IReadOnlyList<double>> rhs,
	double x0,
	IReadOnlyList<double> y0,
	IReadOnlyList<double> yPrime0,
	double x1
)

Public Shared Function IntegrateConservativeOde ( 
	rhs As Func(Of Double, IReadOnlyList(Of Double), IReadOnlyList(Of Double)),
	x0 As Double,
	y0 As IReadOnlyList(Of Double),
	yPrime0 As IReadOnlyList(Of Double),
	x1 As Double
) As MultiOdeResult

public:
static MultiOdeResult^ IntegrateConservativeOde(
	Func<double, IReadOnlyList<double>^, IReadOnlyList<double>^>^ rhs, 
	double x0, 
	IReadOnlyList<double>^ y0, 
	IReadOnlyList<double>^ yPrime0, 
	double x1
)

static member IntegrateConservativeOde : 
        rhs : Func<float, IReadOnlyList<float>, IReadOnlyList<float>> * 
        x0 : float * 
        y0 : IReadOnlyList<float> * 
        yPrime0 : IReadOnlyList<float> * 
        x1 : float -> MultiOdeResult

Parameters

rhs: Type: System.Func<Double, IReadOnlyList<Double>, IReadOnlyList<Double>>
The right hand side function.
x0: Type: System.Double
The initial value of the independent variable.
y0: Type: System.Collections.Generic.IReadOnlyList<Double>
The initial values of the functions.
yPrime0: Type: System.Collections.Generic.IReadOnlyList<Double>
The initial values of the functions' derivatives.
x1: Type: System.Double
The final value of the independent variable.

Return Value

Type: MultiOdeResult
The solution, including the final value of the functions and their derivatives.

Exceptions

Exception	Condition
ArgumentNullException	rhs, y0, or yPrime0 is null.
DimensionMismatchException	y0 and yPrime0 do not have the same dimension.
NonconvergenceException	The ODE could not be integrated to the required precision before exhausting the maximum allowed number of rhsevaluations.

Remarks

For information on integrating coupled, conservative ODEs, see IntegrateConservativeOde(Func<Double, IReadOnlyList<Double>, IReadOnlyList<Double>>, Double, IReadOnlyList<Double>, IReadOnlyList<Double>, Double, MultiOdeSettings).

This overload uses default settings for precision and evaluation budget. It targets a relative precision of about 10^-12 and an absolute precision of about 10^-24 with an evaluation budget of about 8000.

Reference

MultiFunctionMath Class

IntegrateConservativeOde Overload

Meta.Numerics.Analysis Namespace