Templated class for BDF-type time-steppers with fixed or variable timestep. 1st time derivative recovered directly from the previous function values. Template parameter represents the number of previous timesteps stored, so that BDF<1> is the classical first order backward Euler scheme. Need to reset weights after every change in timestep. More...

#include <timesteppers.h>

Inheritance diagram for oomph::BDF< NSTEPS >:

Public Types
typedef double(*	InitialConditionFctPt) (const double &t)
	Typedef for function that returns the (scalar) initial value at a given value of the continuous time t. More...

Public Member Functions
	BDF (const bool &adaptive=false)
	Constructor for the case when we allow adaptive timestepping. More...

	BDF (const BDF &)
	Broken copy constructor. More...

void	operator= (const BDF &)
	Broken assignment operator. More...

unsigned	order () const
	Return the actual order of the scheme. More...

void	assign_initial_values_impulsive (Data *const &data_pt)
	Initialise the time-history for the Data values, corresponding to an impulsive start. More...

void	assign_initial_positions_impulsive (Node *const &node_pt)
	Initialise the time-history for the nodal positions corresponding to an impulsive start. More...

void	assign_initial_data_values (Data *const &data_pt, Vector< InitialConditionFctPt > initial_value_fct)
	Initialise the time-history for the Data values, corresponding to given time history, specified by Vector of function pointers. More...

void	shift_time_values (Data *const &data_pt)
	This function updates the Data's time history so that we can advance to the next timestep. For BDF schemes, we simply push the values backwards... More...

void	shift_time_positions (Node *const &node_pt)
	This function advances the time history of the positions at a node. More...

void	set_weights ()
	Set the weights. More...

unsigned	nprev_values () const
	Number of previous values available. More...

unsigned	ndt () const
	Number of timestep increments that need to be stored by the scheme. More...

void	set_predictor_weights ()
	Function to set the predictor weights. More...

void	calculate_predicted_positions (Node *const &node_pt)
	Function to calculate predicted positions at a node. More...

void	calculate_predicted_values (Data *const &data_pt)
	Function to calculate predicted data values in a Data object. More...

void	set_error_weights ()
	Function to set the error weights. More...

double	temporal_error_in_position (Node *const &node_pt, const unsigned &i)
	Compute the error in the position i at a node. More...

double	temporal_error_in_value (Data *const &data_pt, const unsigned &i)
	Compute the error in the value i in a Data structure. More...

template<>
void	set_weights ()
	Assign the values of the weights. More...

template<>
void	set_predictor_weights ()
	Set the predictor weights (Gresho and Sani pg. 270) More...

template<>
void	calculate_predicted_values (Data *const &data_pt)

template<>
void	calculate_predicted_positions (Node *const &node_pt)
	Calculate predictions for the positions. More...

template<>
void	set_error_weights ()
	Set the error weights (Gresho and Sani pg. 270) More...

template<>
double	temporal_error_in_position (Node *const &node_pt, const unsigned &i)
	Function to compute the error in position i at node. More...

template<>
double	temporal_error_in_value (Data *const &data_pt, const unsigned &i)
	Function to calculate the error in the data value i. More...

template<>
void	set_weights ()

template<>
void	set_predictor_weights ()

template<>
void	calculate_predicted_values (Data *const &data_pt)

template<>
void	calculate_predicted_positions (Node *const &node_pt)
	Calculate predictions for the positions. More...

template<>
void	set_error_weights ()
	Function that sets the error weights. More...

template<>
double	temporal_error_in_position (Node *const &node_pt, const unsigned &i)
	Function to compute the error in position i at node. More...

template<>
double	temporal_error_in_value (Data *const &data_pt, const unsigned &i)
	Function to calculate the error in the data value i. More...

template<>
void	set_weights ()
	Assign the values of the weights; pass the value of the timestep. More...

template<>
void	set_predictor_weights ()
	Calculate the predictor weights. More...

template<>
void	calculate_predicted_values (Data *const &data_pt)

template<>
void	calculate_predicted_positions (Node *const &node_pt)
	Calculate predictions for the positions. More...

template<>
void	set_error_weights ()
	Function that sets the error weights. More...

template<>
double	temporal_error_in_position (Node *const &node_pt, const unsigned &i)
	Function to compute the error in position i at node. More...

template<>
double	temporal_error_in_value (Data *const &data_pt, const unsigned &i)
	Function to calculate the error in the data value i. More...

Public Member Functions inherited from oomph::TimeStepper
	TimeStepper (const unsigned &tstorage, const unsigned &max_deriv)
	Constructor. Pass the amount of storage required by timestepper (present value + history values) and the order of highest time-derivative. More...

	TimeStepper ()
	Broken empty constructor. More...

	TimeStepper (const TimeStepper &)
	Broken copy constructor. More...

void	operator= (const TimeStepper &)
	Broken assignment operator. More...

virtual	~TimeStepper ()
	virtual destructor More...

unsigned	highest_derivative () const
	Highest order derivative that the scheme can compute. More...

double &	time ()
	Return current value of continous time. More...

double	time () const
	Return current value of continous time. More...

virtual unsigned	nprev_values_for_value_at_evaluation_time () const
	Number of previous values needed to calculate the value at the current time. i.e. how many previous values must we loop over to calculate the values at the evaluation time. For most methods this is 1, i.e. just use the value at t_{n+1}. See midpoint method for a counter-example. More...

void	make_steady ()
	Function to make the time stepper temporarily steady. This is trivially achieved by setting all the weights to zero. More...

bool	is_steady () const
	Flag to indicate if a timestepper has been made steady (possibly temporarily to switch off time-dependence) More...

bool	predict_by_explicit_step () const
	Flag: is adaptivity done by taking a separate step using an ExplicitTimeStepper object? More...

ExplicitTimeStepper *	explicit_predictor_pt ()

void	set_predictor_pt (ExplicitTimeStepper *_pred_pt)

void	update_predicted_time (const double &new_time)

void	check_predicted_values_up_to_date () const
	Check that the predicted values are the ones we want. More...

unsigned	predictor_storage_index () const
	Return the time-index in each Data where predicted values are stored if the timestepper is adaptive. More...

void	enable_warning_in_assign_initial_data_values ()
	Enable the output of warnings due to possible fct pointer vector size mismatch in assign_initial_data_values (Default) More...

void	disable_warning_in_assign_initial_data_values ()
	Disable the output of warnings due to possible fct pointer vector size mismatch in assign_initial_data_values. More...

const DenseMatrix< double > *	weights_pt () const
	Get a (const) pointer to the weights. More...

virtual void	undo_make_steady ()
	Reset the is_steady status of a specific TimeStepper to its default and re-assign the weights. More...

std::string	type () const
	Return string that indicates the type of the timestepper (e.g. "BDF", "Newmark", etc.) More...

void	time_derivative (const unsigned &i, Data *const &data_pt, Vector< double > &deriv)
	Evaluate i-th derivative of all values in Data and return in Vector deriv[]. More...

double	time_derivative (const unsigned &i, Data *const &data_pt, const unsigned &j)
	Evaluate i-th derivative of j-th value in Data. More...

void	time_derivative (const unsigned &i, Node *const &node_pt, Vector< double > &deriv)
	Evaluate i-th derivative of all values in Node and return in Vector deriv[] (this can't be simply combined with time_derivative(.., Data, ...) because of differences with haning nodes). More...

double	time_derivative (const unsigned &i, Node *const &node_pt, const unsigned &j)
	Evaluate i-th derivative of j-th value in Node. Note the use of the node's value() function so that hanging nodes are taken into account (this is why the functions for Data and Node cannot be combined through simple polymorphism: value is not virtual). More...

Time *const &	time_pt () const
	Access function for the pointer to time (const version) More...

Time *&	time_pt ()

virtual double	weight (const unsigned &i, const unsigned &j) const
	Access function for j-th weight for the i-th derivative. More...

unsigned	ntstorage () const
	Return the number of doubles required to represent history (one for steady) More...

bool	adaptive_flag () const
	Function to indicate whether the scheme is adaptive (false by default) More...

virtual void	actions_before_timestep (Problem *problem_pt)

virtual void	actions_after_timestep (Problem *problem_pt)

Private Attributes
Vector< double >	Predictor_weight
	Private data for the predictor weights. More...

double	Error_weight
	Private data for the error weight. More...

Additional Inherited Members
Protected Attributes inherited from oomph::TimeStepper
Time *	Time_pt
	Pointer to discrete time storage scheme. More...

DenseMatrix< double >	Weight
	Storage for the weights associated with the timestepper. More...

std::string	Type
	String that indicates the type of the timestepper (e.g. "BDF", "Newmark", etc.) More...

bool	Adaptive_Flag
	Boolean variable to indicate whether the timestepping scheme can be adaptive. More...

bool	Is_steady
	Bool to indicate if the timestepper is steady, i.e. its time-derivatives evaluate to zero. This status may be achieved temporarily by calling make_steady(). It can be reset to the appropriate default by the function undo_make_steady(). More...

bool	Shut_up_in_assign_initial_data_values
	Boolean to indicate if the timestepper will output warnings when setting possibly an incorrect number of initial data values from function pointers. More...

bool	Predict_by_explicit_step
	Flag: is adaptivity done by taking a separate step using an ExplicitTimeStepper object? More...

ExplicitTimeStepper *	Explicit_predictor_pt

double	Predicted_time

int	Predictor_storage_index
	The time-index in each Data object where predicted values are stored. -1 if not set. More...

Detailed Description

template<unsigned NSTEPS>
class oomph::BDF< NSTEPS >

Templated class for BDF-type time-steppers with fixed or variable timestep. 1st time derivative recovered directly from the previous function values. Template parameter represents the number of previous timesteps stored, so that BDF<1> is the classical first order backward Euler scheme. Need to reset weights after every change in timestep.

Definition at line 1141 of file timesteppers.h.

Member Typedef Documentation

◆ InitialConditionFctPt

template<unsigned NSTEPS>

typedef double(* oomph::BDF< NSTEPS >::InitialConditionFctPt) (const double &t)

Typedef for function that returns the (scalar) initial value at a given value of the continuous time t.

Definition at line 1284 of file timesteppers.h.

Constructor & Destructor Documentation

◆ BDF() [1/2]

template<unsigned NSTEPS>

oomph::BDF< NSTEPS >::BDF ( const bool & adaptive = false )

inline

Constructor for the case when we allow adaptive timestepping.

Definition at line 1172 of file timesteppers.h.

◆ BDF() [2/2]

template<unsigned NSTEPS>

oomph::BDF< NSTEPS >::BDF ( const BDF< NSTEPS > & )

inline

Broken copy constructor.

Definition at line 1200 of file timesteppers.h.

References oomph::BrokenCopy::broken_copy().

Member Function Documentation

◆ assign_initial_data_values()

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::assign_initial_data_values	(	Data *const &	data_pt,
		Vector< InitialConditionFctPt >	initial_value_fct
	)

inline

Initialise the time-history for the Data values, corresponding to given time history, specified by Vector of function pointers.

Definition at line 1289 of file timesteppers.h.

References oomph::Data::nvalue(), oomph::Data::set_value(), and t.

◆ assign_initial_positions_impulsive()

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::assign_initial_positions_impulsive ( Node *const & node_pt )

inlinevirtual

Initialise the time-history for the nodal positions corresponding to an impulsive start.

Implements oomph::TimeStepper.

Definition at line 1245 of file timesteppers.h.

References i, oomph::Node::ndim(), oomph::Node::nposition_type(), oomph::Node::position_is_a_copy(), t, and oomph::Node::x_gen().

◆ assign_initial_values_impulsive()

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::assign_initial_values_impulsive ( Data *const & data_pt )

inlinevirtual

Initialise the time-history for the Data values, corresponding to an impulsive start.

Implements oomph::TimeStepper.

Definition at line 1216 of file timesteppers.h.

References oomph::Data::is_a_copy(), oomph::Data::nvalue(), oomph::Data::set_value(), t, and oomph::Data::value().

◆ calculate_predicted_positions() [1/4]

template<>

void oomph::BDF< 1 >::calculate_predicted_positions ( Node *const & node_pt )

virtual

Calculate predictions for the positions.

Reimplemented from oomph::TimeStepper.

Definition at line 152 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), i, oomph::Node::ndim(), oomph::Node::position_is_a_copy(), oomph::TimeStepper::Predictor_storage_index, and oomph::Node::x().

◆ calculate_predicted_positions() [2/4]

template<>

void oomph::BDF< 2 >::calculate_predicted_positions ( Node *const & node_pt )

virtual

Calculate predictions for the positions.

Reimplemented from oomph::TimeStepper.

Definition at line 312 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), i, oomph::Node::ndim(), oomph::Node::position_is_a_copy(), oomph::TimeStepper::Predictor_storage_index, and oomph::Node::x().

◆ calculate_predicted_positions() [3/4]

template<>

void oomph::BDF< 4 >::calculate_predicted_positions ( Node *const & node_pt )

virtual

Calculate predictions for the positions.

Reimplemented from oomph::TimeStepper.

Definition at line 457 of file timesteppers.cc.

◆ calculate_predicted_positions() [4/4]

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::calculate_predicted_positions ( Node *const & node_pt )

virtual

Function to calculate predicted positions at a node.

Reimplemented from oomph::TimeStepper.

◆ calculate_predicted_values() [1/4]

template<>

void oomph::BDF< 1 >::calculate_predicted_values ( Data *const & data_pt )

virtual

Calculate the predicted values and store them at the appropriate location in the data structure This function must be called after the time-values have been shifted!

Reimplemented from oomph::TimeStepper.

Definition at line 119 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), i, oomph::Data::is_a_copy(), oomph::Data::nvalue(), oomph::TimeStepper::Predictor_storage_index, oomph::Data::set_value(), and oomph::Data::value().

◆ calculate_predicted_values() [2/4]

template<>

void oomph::BDF< 2 >::calculate_predicted_values ( Data *const & data_pt )

virtual

Calculate the predicted values and store them at the appropriate location in the data structure This function must be called after the time-values have been shifted!

Reimplemented from oomph::TimeStepper.

Definition at line 279 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), i, oomph::Data::is_a_copy(), oomph::Data::nvalue(), oomph::TimeStepper::Predictor_storage_index, oomph::Data::set_value(), and oomph::Data::value().

◆ calculate_predicted_values() [3/4]

template<>

void oomph::BDF< 4 >::calculate_predicted_values ( Data *const & data_pt )

virtual

Calculate the predicted values and store them at the appropriate location in the data structure This function must be called after the time-values have been shifted!

Reimplemented from oomph::TimeStepper.

Definition at line 447 of file timesteppers.cc.

◆ calculate_predicted_values() [4/4]

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::calculate_predicted_values ( Data *const & data_pt )

virtual

Function to calculate predicted data values in a Data object.

Reimplemented from oomph::TimeStepper.

◆ ndt()

template<unsigned NSTEPS>

unsigned oomph::BDF< NSTEPS >::ndt ( ) const

inlinevirtual

Number of timestep increments that need to be stored by the scheme.

Implements oomph::TimeStepper.

Definition at line 1418 of file timesteppers.h.

References i.

◆ nprev_values()

template<unsigned NSTEPS>

unsigned oomph::BDF< NSTEPS >::nprev_values ( ) const

inlinevirtual

Number of previous values available.

Implements oomph::TimeStepper.

Definition at line 1415 of file timesteppers.h.

◆ operator=()

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::operator= ( const BDF< NSTEPS > & )

inline

Broken assignment operator.

Definition at line 1206 of file timesteppers.h.

References oomph::BrokenCopy::broken_assign().

◆ order()

template<unsigned NSTEPS>

unsigned oomph::BDF< NSTEPS >::order ( ) const

inlinevirtual

Return the actual order of the scheme.

Reimplemented from oomph::TimeStepper.

Definition at line 1212 of file timesteppers.h.

◆ set_error_weights() [1/4]

template<>

void oomph::BDF< 1 >::set_error_weights ( )

virtual

Set the error weights (Gresho and Sani pg. 270)

Reimplemented from oomph::TimeStepper.

Definition at line 185 of file timesteppers.cc.

◆ set_error_weights() [2/4]

template<>

void oomph::BDF< 2 >::set_error_weights ( )

virtual

Function that sets the error weights.

Reimplemented from oomph::TimeStepper.

Definition at line 345 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), oomph::Time::dt(), and oomph::TimeStepper::Time_pt.

◆ set_error_weights() [3/4]

template<>

void oomph::BDF< 4 >::set_error_weights ( )

virtual

Function that sets the error weights.

Reimplemented from oomph::TimeStepper.

Definition at line 466 of file timesteppers.cc.

◆ set_error_weights() [4/4]

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::set_error_weights ( )

virtual

Function to set the error weights.

Reimplemented from oomph::TimeStepper.

◆ set_predictor_weights() [1/4]

template<>

void oomph::BDF< 1 >::set_predictor_weights ( )

virtual

Set the predictor weights (Gresho and Sani pg. 270)

Reimplemented from oomph::TimeStepper.

Definition at line 96 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), oomph::Time::dt(), and oomph::TimeStepper::Time_pt.

◆ set_predictor_weights() [2/4]

template<>

void oomph::BDF< 2 >::set_predictor_weights ( )

virtual

Calculate the predictor weights. The scheme used is from Gresho & Sani, Incompressible Flow and the Finite Element Method (advection-diffusion and isothermal laminar flow), 1998, pg. 715.

Reimplemented from oomph::TimeStepper.

Definition at line 255 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), oomph::Time::dt(), and oomph::TimeStepper::Time_pt.

◆ set_predictor_weights() [3/4]

template<>

void oomph::BDF< 4 >::set_predictor_weights ( )

virtual

Calculate the predictor weights.

Reimplemented from oomph::TimeStepper.

Definition at line 430 of file timesteppers.cc.

◆ set_predictor_weights() [4/4]

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::set_predictor_weights ( )

virtual

Function to set the predictor weights.

Reimplemented from oomph::TimeStepper.

◆ set_weights() [1/4]

template<>

void oomph::BDF< 1 >::set_weights ( )

virtual

Assign the values of the weights.

Implements oomph::TimeStepper.

Definition at line 84 of file timesteppers.cc.

References oomph::Time::dt(), oomph::TimeStepper::Time_pt, and oomph::TimeStepper::Weight.

◆ set_weights() [2/4]

template<>

void oomph::BDF< 2 >::set_weights ( )

virtual

Assign the values of the weights. The scheme used is from Gresho & Sani, Incompressible Flow and the Finite Element Method (advection-diffusion and isothermal laminar flow), 1998, pg. 715 (with some algebraic rearrangement).

Implements oomph::TimeStepper.

Definition at line 234 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), oomph::Time::dt(), oomph::TimeStepper::Time_pt, and oomph::TimeStepper::Weight.

◆ set_weights() [3/4]

template<>

void oomph::BDF< 4 >::set_weights ( )

virtual

Assign the values of the weights; pass the value of the timestep.

Implements oomph::TimeStepper.

Definition at line 402 of file timesteppers.cc.

References oomph::Time::dt(), i, oomph::Time::ndt(), oomph::TimeStepper::Time_pt, and oomph::TimeStepper::Weight.

◆ set_weights() [4/4]

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::set_weights ( )

virtual

Set the weights.

Implements oomph::TimeStepper.

◆ shift_time_positions()

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::shift_time_positions ( Node *const & node_pt )

inlinevirtual

This function advances the time history of the positions at a node.

Implements oomph::TimeStepper.

Definition at line 1354 of file timesteppers.h.

References i, oomph::Node::ndim(), oomph::Node::nposition_type(), oomph::Node::position_is_a_copy(), t, and oomph::Node::x_gen().

◆ shift_time_values()

template<unsigned NSTEPS>

void oomph::BDF< NSTEPS >::shift_time_values ( Data *const & data_pt )

inlinevirtual

This function updates the Data's time history so that we can advance to the next timestep. For BDF schemes, we simply push the values backwards...

Implements oomph::TimeStepper.

Definition at line 1317 of file timesteppers.h.

References oomph::Data::is_a_copy(), oomph::Data::nvalue(), oomph::Data::set_value(), t, and oomph::Data::value().

◆ temporal_error_in_position() [1/4]

template<>

double oomph::BDF< 1 >::temporal_error_in_position	(	Node *const &	node_pt,
		const unsigned &	i
	)

virtual

Function to compute the error in position i at node.

Reimplemented from oomph::TimeStepper.

Definition at line 194 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), oomph::TimeStepper::Predictor_storage_index, and oomph::Node::x().

◆ temporal_error_in_position() [2/4]

template<>

double oomph::BDF< 2 >::temporal_error_in_position	(	Node *const &	node_pt,
		const unsigned &	i
	)

virtual

Function to compute the error in position i at node.

Reimplemented from oomph::TimeStepper.

Definition at line 363 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), oomph::TimeStepper::Predictor_storage_index, and oomph::Node::x().

◆ temporal_error_in_position() [3/4]

template<>

double oomph::BDF< 4 >::temporal_error_in_position	(	Node *const &	node_pt,
		const unsigned &	i
	)

virtual

Function to compute the error in position i at node.

Reimplemented from oomph::TimeStepper.

Definition at line 477 of file timesteppers.cc.

◆ temporal_error_in_position() [4/4]

template<unsigned NSTEPS>

double oomph::BDF< NSTEPS >::temporal_error_in_position	(	Node *const &	node_pt,
		const unsigned &	i
	)

virtual

Compute the error in the position i at a node.

Reimplemented from oomph::TimeStepper.

◆ temporal_error_in_value() [1/4]

template<>

double oomph::BDF< 1 >::temporal_error_in_value	(	Data *const &	data_pt,
		const unsigned &	i
	)

virtual

Function to calculate the error in the data value i.

Reimplemented from oomph::TimeStepper.

Definition at line 213 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), oomph::TimeStepper::Predictor_storage_index, and oomph::Data::value().

◆ temporal_error_in_value() [2/4]

template<>

double oomph::BDF< 2 >::temporal_error_in_value	(	Data *const &	data_pt,
		const unsigned &	i
	)

virtual

Function to calculate the error in the data value i.

Reimplemented from oomph::TimeStepper.

Definition at line 383 of file timesteppers.cc.

References oomph::TimeStepper::adaptive_flag(), oomph::TimeStepper::Predictor_storage_index, and oomph::Data::value().

◆ temporal_error_in_value() [3/4]

template<>

double oomph::BDF< 4 >::temporal_error_in_value	(	Data *const &	data_pt,
		const unsigned &	i
	)

virtual

Function to calculate the error in the data value i.

Reimplemented from oomph::TimeStepper.

Definition at line 491 of file timesteppers.cc.

◆ temporal_error_in_value() [4/4]

template<unsigned NSTEPS>

double oomph::BDF< NSTEPS >::temporal_error_in_value	(	Data *const &	data_pt,
		const unsigned &	i
	)

virtual

Compute the error in the value i in a Data structure.

Reimplemented from oomph::TimeStepper.

Member Data Documentation

◆ Error_weight

template<unsigned NSTEPS>

double oomph::BDF< NSTEPS >::Error_weight

private

Private data for the error weight.

Definition at line 1167 of file timesteppers.h.

◆ Predictor_weight

template<unsigned NSTEPS>

Vector<double> oomph::BDF< NSTEPS >::Predictor_weight

private

Private data for the predictor weights.

Definition at line 1164 of file timesteppers.h.

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

timesteppers.h

Public Types

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<unsigned NSTEPS> class oomph::BDF< NSTEPS >

Member Typedef Documentation

◆ InitialConditionFctPt

Constructor & Destructor Documentation

◆ BDF() [1/2]

◆ BDF() [2/2]

Member Function Documentation

◆ assign_initial_data_values()

◆ assign_initial_positions_impulsive()

◆ assign_initial_values_impulsive()

◆ calculate_predicted_positions() [1/4]

◆ calculate_predicted_positions() [2/4]

◆ calculate_predicted_positions() [3/4]

◆ calculate_predicted_positions() [4/4]

◆ calculate_predicted_values() [1/4]

◆ calculate_predicted_values() [2/4]

◆ calculate_predicted_values() [3/4]

◆ calculate_predicted_values() [4/4]

◆ ndt()

◆ nprev_values()

◆ operator=()

◆ order()

◆ set_error_weights() [1/4]

◆ set_error_weights() [2/4]

◆ set_error_weights() [3/4]

◆ set_error_weights() [4/4]

◆ set_predictor_weights() [1/4]

◆ set_predictor_weights() [2/4]

◆ set_predictor_weights() [3/4]

◆ set_predictor_weights() [4/4]

◆ set_weights() [1/4]

◆ set_weights() [2/4]

◆ set_weights() [3/4]

◆ set_weights() [4/4]

◆ shift_time_positions()

◆ shift_time_values()

◆ temporal_error_in_position() [1/4]

◆ temporal_error_in_position() [2/4]

◆ temporal_error_in_position() [3/4]

◆ temporal_error_in_position() [4/4]

◆ temporal_error_in_value() [1/4]

◆ temporal_error_in_value() [2/4]

◆ temporal_error_in_value() [3/4]

◆ temporal_error_in_value() [4/4]

Member Data Documentation

◆ Error_weight

◆ Predictor_weight

template<unsigned NSTEPS>
class oomph::BDF< NSTEPS >