TimeStepping::ExplicitRungeKutta< VectorType > Class Template Reference

#include <deal.II/base/time_stepping.h>

Inheritance diagram for TimeStepping::ExplicitRungeKutta< VectorType >:

Classes
struct	Status

Public Member Functions
	ExplicitRungeKutta ()=default
	ExplicitRungeKutta (const runge_kutta_method method)
void	initialize (const runge_kutta_method method)
double	evolve_one_time_step (const std::function< VectorType(const double, const VectorType &)> &f, const std::function< VectorType(const double, const double, const VectorType &)> &id_minus_tau_J_inverse, double t, double delta_t, VectorType &y)
double	evolve_one_time_step (const std::function< VectorType(const double, const VectorType &)> &f, double t, double delta_t, VectorType &y)
const Status &	get_status () const
Public Member Functions inherited from TimeStepping::RungeKutta< VectorType >
virtual	~RungeKutta ()=default
double	evolve_one_time_step (std::vector< std::function< VectorType(const double, const VectorType &)> > &F, std::vector< std::function< VectorType(const double, const double, const VectorType &)> > &J_inverse, double t, double delta_t, VectorType &y)
Public Member Functions inherited from TimeStepping::TimeStepping< VectorType >
virtual	~TimeStepping ()=default

Private Member Functions
void	compute_stages (const std::function< VectorType(const double, const VectorType &)> &f, const double t, const double delta_t, const VectorType &y, std::vector< VectorType > &f_stages) const

Private Attributes
Status	status

Additional Inherited Members
Protected Attributes inherited from TimeStepping::RungeKutta< VectorType >
unsigned int	n_stages
std::vector< double >	b
std::vector< double >	c
std::vector< std::vector< double > >	a

Detailed Description

template<typename VectorType>
class TimeStepping::ExplicitRungeKutta< VectorType >

ExplicitRungeKutta is derived from RungeKutta and implement the explicit methods.

Definition at line 203 of file time_stepping.h.

Constructor & Destructor Documentation

ExplicitRungeKutta() [1/2]

template<typename VectorType>

TimeStepping::ExplicitRungeKutta< VectorType >::ExplicitRungeKutta ( )

default

Default constructor. This constructor creates an object for which you will want to call initialize(runge_kutta_method) before it can be used.

ExplicitRungeKutta() [2/2]

template<typename VectorType>

TimeStepping::ExplicitRungeKutta< VectorType >::ExplicitRungeKutta

(

const runge_kutta_method

method

)

Constructor. This function calls initialize(runge_kutta_method).

Member Function Documentation

initialize()

template<typename VectorType>

void TimeStepping::ExplicitRungeKutta< VectorType >::initialize ( const runge_kutta_method  method )

virtual

Initialize the explicit Runge-Kutta method.

Implements TimeStepping::RungeKutta< VectorType >.

evolve_one_time_step() [1/2]

template<typename VectorType>

double TimeStepping::ExplicitRungeKutta< VectorType >::evolve_one_time_step ( const std::function< VectorType(const double, const VectorType &)> &  f, const std::function< VectorType(const double, const double, const VectorType &)> &  id_minus_tau_J_inverse, double  t, double  delta_t, VectorType &  y  )

virtual

This function is used to advance from time t to t+ delta_t. f is the function \( f(t,y) \) that should be integrated, the input parameters are the time t and the vector y and the output is value of f at this point. id_minus_tau_J_inverse is a function that computes \( inv(I-\tau J)\) where \( I \) is the identity matrix, \( \tau \) is given, and \( J \) is the Jacobian \( \frac{\partial J}{\partial y} \). The input parameter are the time, \( \tau \), and a vector. The output is the value of function at this point. evolve_one_time_step returns the time at the end of the time step.

Implements TimeStepping::RungeKutta< VectorType >.

evolve_one_time_step() [2/2]

template<typename VectorType>

double TimeStepping::ExplicitRungeKutta< VectorType >::evolve_one_time_step	(	const std::function< VectorType(const double, const VectorType &)> &	f,
		double	t,
		double	delta_t,
		VectorType &	y
	)

This function is used to advance from time t to t+ delta_t. This function is similar to the one derived from RungeKutta, but does not required id_minus_tau_J_inverse because it is not used for explicit methods. evolve_one_time_step returns the time at the end of the time step.

get_status()

template<typename VectorType>

const Status& TimeStepping::ExplicitRungeKutta< VectorType >::get_status ( ) const

virtual

Return the status of the current object.

Implements TimeStepping::TimeStepping< VectorType >.

compute_stages()

template<typename VectorType>

void TimeStepping::ExplicitRungeKutta< VectorType >::compute_stages ( const std::function< VectorType(const double, const VectorType &)> &  f, const double  t, const double  delta_t, const VectorType &  y, std::vector< VectorType > &  f_stages  ) const

private

Compute the different stages needed.

Member Data Documentation

status

template<typename VectorType>

Status TimeStepping::ExplicitRungeKutta< VectorType >::status

private

Status structure of the object.

Definition at line 288 of file time_stepping.h.

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

• deal.II/base/time_stepping.h