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

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

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,
	MultiOdeSettings settings
)

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,
	settings As MultiOdeSettings
) As MultiOdeResult

C++

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

F#

static member IntegrateConservativeOde : 
        rhs : Func<float, IReadOnlyList<float>, IReadOnlyList<float>> * 
        x0 : float * 
        y0 : IReadOnlyList<float> * 
        yPrime0 : IReadOnlyList<float> * 
        x1 : float * 
        settings : MultiOdeSettings -> 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.
settings MultiOdeSettings: The settings to use when solving the problem.

Return Value

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

Remarks

For information on conservative ODEs, see IntegrateConservativeOde(FuncDouble, Double, Double, Double, Double, Double, Double, OdeSettings).

Exceptions

ArgumentNullException	rhs, y0, yPrime0, or settings 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.