FunctionMathIntegrateConservativeOde(FuncDouble, Double, Double, Double, Double, Double, Double, OdeSettings) Method

public static OdeResult IntegrateConservativeOde(
	Func<double, double, double> rhs,
	double x0,
	double y0,
	double yPrime0,
	double x1,
	OdeSettings settings
)

Public Shared Function IntegrateConservativeOde ( 
	rhs As Func(Of Double, Double, Double),
	x0 As Double,
	y0 As Double,
	yPrime0 As Double,
	x1 As Double,
	settings As OdeSettings
) As OdeResult

public:
static OdeResult^ IntegrateConservativeOde(
	Func<double, double, double>^ rhs, 
	double x0, 
	double y0, 
	double yPrime0, 
	double x1, 
	OdeSettings^ settings
)

static member IntegrateConservativeOde : 
        rhs : Func<float, float, float> * 
        x0 : float * 
        y0 : float * 
        yPrime0 : float * 
        x1 : float * 
        settings : OdeSettings -> OdeResult 

Parameters

rhs  FuncDouble, Double, Double

The right hand side function.

x0  Double

The initial value of the independent variable.

y0  Double

The initial value of the function variable.

yPrime0  Double

The initial value of the function derivative.

x1  Double

The final value of the independent variable.

settings  OdeSettings

The settings to use when solving the problem.

Return Value

A conservative ODE is an ODE of the form

where the right-hand-side depends only on x and y, not on the derivative y'. ODEs of this form are called conservative because they exhibit conserved quantities: combinations of y and y' that maintain the same value as the system evolves. Many forms of Newtonian equations of motion, for example, are conservative ODEs, with conserved quantities such as energy, momentum, and angular momentum. Our specialized conservative ODE integrator is not only more efficient for conservative ODEs, but does a better job of maintaining the conserved quantities.

Reference