org.spaceroots.mantissa.ode

Interface SecondOrderDifferentialEquations

public interface SecondOrderDifferentialEquations

This interface represents a second order differential equations set.

This interface should be implemented by all real second order differential equation problems before they can be handled by the integrators SecondOrderIntegrator.integrate(org.spaceroots.mantissa.ode.SecondOrderDifferentialEquations, double, double[], double[], double, double[], double[]) method.

A second order differential equations problem, as seen by an integrator is the second time derivative d2Y/dt^2 of a state vector Y, both being one dimensional arrays. From the integrator point of view, this derivative depends only on the current time t, on the state vector Y and on the first time derivative of the state vector.

For real problems, the derivative depends also on parameters that do not belong to the state vector (dynamical model constants for example). These constants are completely outside of the scope of this interface, the classes that implement it are allowed to handle them as they want.

See Also:

SecondOrderIntegrator, FirstOrderConverter, FirstOrderDifferentialEquations, ArraySliceMappable

Method Summary

Modifier and Type	Method and Description
void	computeSecondDerivatives(double t, double[] y, double[] yDot, double[] yDDot) Get the current time derivative of the state vector.
int	getDimension() Get the dimension of the problem.

Method Detail

getDimension

int getDimension()

Get the dimension of the problem.

Returns:

dimension of the problem

computeSecondDerivatives

void computeSecondDerivatives(double t,
                              double[] y,
                              double[] yDot,
                              double[] yDDot)
                       throws DerivativeException

Get the current time derivative of the state vector.

Parameters:

t - current value of the independant time variable

y - array containing the current value of the state vector

yDot - array containing the current value of the first derivative of the state vector

yDDot - placeholder array where to put the second time derivative of the state vector

Throws:

DerivativeException - this exception is propagated to the caller if the underlying user function triggers one