Dahlquist Class Reference

Inheritance diagram for Dahlquist:

List of all members.

Public Member Functions
	Dahlquist (const double lambda=1)
void	evaluate_f (const double t, const Vector< double > &v, const double tolerance, Vector< double > &result) const
void	evaluate_ft (const double t, const Vector< double > &v, const double tolerance, Vector< double > &result) const
void	solve_ROW_stage_equation (const double t, const Vector< double > &v, const double alpha, const Vector< double > &y, const double tolerancs, Vector< double > &result) const
void	exact_solution (const double t, Vector< double > &y) const
	Dahlquist (const double lambda=1)
void	apply_f (const double t, const Point< 1 > &v, Point< 1 > &result) const
void	apply_ft (const double t, const Point< 1 > &v, Point< 1 > &result) const
void	solve_jacobian (const double t, const Point< 1 > &v, const double tau, Point< 1 > &result) const

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Member Function Documentation

void Dahlquist::evaluate_f	(	const double	t,
		const Vector< double > &	v,
		const double	tolerance,
		Vector< double > &	result
	)		const [inline, virtual]

evaluate the right--hand side f at (t,v), up to some tolerance (w.r.t. the ||.||_2 norm)

Implements MathTL::AbstractIVP< Vector< double > >.

void Dahlquist::evaluate_ft	(	const double	t,
		const Vector< double > &	v,
		const double	tolerance,
		Vector< double > &	result
	)		const [inline, virtual]

evaluate the derivative f_t at (t,v), up to some tolerance (w.r.t. the ||.||_2 norm)

Implements MathTL::AbstractIVP< Vector< double > >.

void Dahlquist::solve_ROW_stage_equation	(	const double	t,
		const Vector< double > &	v,
		const double	alpha,
		const Vector< double > &	y,
		const double	tolerancs,
		Vector< double > &	result
	)		const [inline, virtual]

Up to a given tolerance (w.r.t. the ||.||_2 norm), solve the special linear system

(alpha*I-J)x = y,

where J = f(t,v) is the (exact) Jacobian of f. This routine will primarily be used to solve the stage equations of an ROW-method.

Implements MathTL::AbstractIVP< Vector< double > >.

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

• tests/test_one_step_scheme.cpp
• tests/test_rosenbrock.cpp