#include <ivp.h>

Public Member Functions
virtual	~IVP ()
virtual void	apply_f (const double t, const Point< DIM > &v, Point< DIM > &result) const =0
virtual void	apply_ft (const double t, const Point< DIM > &v, Point< DIM > &result) const =0
virtual void	solve_jacobian (const double t, const Point< DIM > &v, const double alpha, Point< DIM > &result) const =0
Public Attributes
Point< DIM >	u0

Detailed Description

abstract base class for a vector-valued initial value problem

u'(t) = f(t, u(t)), 0 < t <= T u(0) = u_0

where u:[0,T]-> R^d

Note that the class fulfills the necessary signature to be used in one of the Rosenbrock methods for the numerical approximation of u(t).

Constructor & Destructor Documentation

template<unsigned int DIM>

MathTL::IVP< DIM >::~IVP ( ) [virtual]

virtual destructor

template<unsigned int DIM>

virtual void MathTL::IVP< DIM >::apply_f	(	const double	t,
		const Point< DIM > &	v,
		Point< DIM > &	result
	)		const `[pure virtual]`

evaluate the right--hand side f at (t,v)

template<unsigned int DIM>

virtual void MathTL::IVP< DIM >::apply_ft	(	const double	t,
		const Point< DIM > &	v,
		Point< DIM > &	result
	)		const `[pure virtual]`

evaluate the partial derivative f_t at (t,v)

template<unsigned int DIM>

virtual void MathTL::IVP< DIM >::solve_jacobian	(	const double	t,
		const Point< DIM > &	v,
		const double	alpha,
		Point< DIM > &	result
	)		const `[pure virtual]`

solve the special linear system

(alpha*I-J)u = v,

where J = f(t,v) is the Jacobian of f

template<unsigned int DIM>

initial value

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