SPB::NonLinearGroupElement< my_alg_type_IN, my_alg_type_OUT > Class Template Reference

Solves the RDE over an interval for a given initial point. More...

#include <NonLinearGroupElement.h>

List of all members.

Public Member Functions
	NonLinearGroupElement (void)
	Default Constructor.
	NonLinearGroupElement (const LIE_IN &liearg, lietovectorfield< my_alg_type_IN, POLYLIE< my_alg_type_OUT > > &lie2vf)
	~NonLinearGroupElement (void)
	Default Destructor.
AbstractSolutionPoint < my_alg_type_OUT >	evaluate (AbstractSolutionPoint< my_alg_type_OUT > &InitialPoint)
	Takes an initial point for the path and outputs the end point.

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Detailed Description

template<typename my_alg_type_IN, typename my_alg_type_OUT>
class SPB::NonLinearGroupElement< my_alg_type_IN, my_alg_type_OUT >

Solves the RDE over an interval for a given initial point.

For a given LIE element (the description of the input path over a dyadic_interval), we combine the LIE element with the equation we wish to solve, giving us a vector field to exponentiate. The function evaluate, then allows us to do this for a given initial point.

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Constructor & Destructor Documentation

template<typename my_alg_type_IN, typename my_alg_type_OUT>

SPB::NonLinearGroupElement< my_alg_type_IN, my_alg_type_OUT >::NonLinearGroupElement	(	const LIE_IN &	liearg,
		lietovectorfield< my_alg_type_IN, POLYLIE< my_alg_type_OUT > > &	lie2vf
	)			[inline]

Constructor that takes a Lie element and a lietovectorfield object (this contains the equation) and combines the two to obtain the ODE we want to solve: equation.

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Member Function Documentation

template<typename my_alg_type_IN, typename my_alg_type_OUT>

AbstractSolutionPoint<my_alg_type_OUT> SPB::NonLinearGroupElement< my_alg_type_IN, my_alg_type_OUT >::evaluate

(

AbstractSolutionPoint< my_alg_type_OUT > &

InitialPoint

)

[inline]

Takes an initial point for the path and outputs the end point.

This corresponds to exponentiating equation with initial point InitialPoint and solving at time one.

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The documentation for this class was generated from the following file:

• RDE_lib2/NonLinearGroupElement.h