MultiFunctionMathIntegrateConservativeOde(FuncDouble, IReadOnlyListDouble, IReadOnlyListDouble, Double, IReadOnlyListDouble, IReadOnlyListDouble, Double) Method

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

Definition

Namespace: Meta.Numerics.Analysis
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.2.0+6d77d64445f7d5d91b12e331399c4362ecb25333

C#

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

VB

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

C++

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

F#

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

Parameters

rhs FuncDouble, IReadOnlyListDouble, IReadOnlyListDouble: The right hand side function.
x0 Double: The initial value of the independent variable.
y0 IReadOnlyListDouble: The initial values of the functions.
yPrime0 IReadOnlyListDouble: The initial values of the functions' derivatives.
x1 Double: The final value of the independent variable.

Return Value

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

Remarks

For information on integrating coupled, conservative ODEs, see IntegrateConservativeOde(FuncDouble, IReadOnlyListDouble, IReadOnlyListDouble, Double, IReadOnlyListDouble, IReadOnlyListDouble, 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.

Exceptions

ArgumentNullException	rhs, y0, or yPrime0 is .
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.