nintegrationTrapezoidEuler< D, T > Class Template Reference

Numerical integration with the Trapezoid - Euler method. More...

#include <nintegration.h>

Collaboration diagram for nintegrationTrapezoidEuler< D, T >:

List of all members.

Public Member Functions
	nintegrationTrapezoidEuler (T *xi_, T *yi_)
	The clients equation needs to see the variables.
void	operator++ ()
	Increment to the next equation.
void	eval (T &dy, T const h, T const y, T const x)
	Evaluate the infinitesimal and the highest derivative.
Public Attributes
D	yDorder
	The equation of the system as a 1st order derivative.

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Detailed Description

template<typename D, typename T>
class nintegrationTrapezoidEuler< D, T >

Numerical integration with the Trapezoid - Euler method.

Definition at line 47 of file nintegration.h.

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Constructor & Destructor Documentation

template<typename D , typename T >

nintegrationTrapezoidEuler< D, T >::nintegrationTrapezoidEuler	(	T *	xi_,
		T *	yi_
	)			[inline]

The clients equation needs to see the variables.

Definition at line 55 of file nintegration.h.

    : yDorder(xi_,yi_) {}

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Member Function Documentation

template<typename D , typename T >

void nintegrationTrapezoidEuler< D, T >::eval	(	T &	dy,
		T const	h,
		T const	y,
		T const	x
	)			[inline]

Evaluate the infinitesimal and the highest derivative.

Definition at line 64 of file nintegration.h.

References nintegrationTrapezoidEuler< D, T >::yDorder.

  {
    // Estimate the implicit variable y[n+1] by Eulers method.
    // w1 is y[n+1] interpolated: y[n+1] = y[n]+h*y'[n]

    T yD;
    yDorder(yD,y,x);
    T w1 = y + h*yD;

    T x1 = x+h;
    T y1D;
    yDorder(y1D,w1,x1);

    dy = (y1D+yD)*h/2.0;
  }

template<typename D , typename T >

void nintegrationTrapezoidEuler< D, T >::operator++

(

)

[inline]

Increment to the next equation.

Definition at line 59 of file nintegration.h.

References nintegrationTrapezoidEuler< D, T >::yDorder.

    { ++yDorder; }

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Member Data Documentation

template<typename D , typename T >

D nintegrationTrapezoidEuler< D, T >::yDorder

The equation of the system as a 1st order derivative.

Definition at line 52 of file nintegration.h.

Referenced by nintegrationTrapezoidEuler< D, T >::eval(), and nintegrationTrapezoidEuler< D, T >::operator++().

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

• nintegration/nintegration.h