TridiagonalIntegrator Class Reference

Integrator using 1st and 2nd order BDF for tridiagonal systems, with matrix inversions done using the Thomas algorithm. More...

#include <integrator.h>

Inheritance diagram for TridiagonalIntegrator:

Public Member Functions
	TridiagonalIntegrator (TridiagonalODE &ode)
virtual	~TridiagonalIntegrator ()
void	set_y0 (const dvec &y0)
	Set the initial condition for the problem.
void	resize (size_t N_in)
void	initialize (const double t0, const double h)
	Set up parameters and problem-dependent data structures for the solver.
const dvec &	get_ydot ()
	Get the time derivative of the current state vector.
void	step ()
	Take a single step using the current step size.
Public Member Functions inherited from Integrator
	Integrator ()
virtual	~Integrator ()
virtual void	set_y0 (const dvec &y0)
	Set the initial condition for the problem.
virtual void	initialize (const double t0, const double h)
	Set up parameters and problem-dependent data structures for the solver.
double	get_h () const
	Get the last step size used.
double	get_t () const
	Get the current time reached by the integrator.
virtual const dvec &	get_y () const
	Get the current state vector.
virtual const dvec &	get_ydot ()=0
	Get the time derivative of the current state vector.
virtual void	step ()=0
	Take a single step using the current step size.
virtual void	integrateToTime (double tEnd)
	Take as many steps as necessary to reach tEnd without stepping past it.

Private Attributes
TridiagonalODE &	myODE
dvec	a
	subdiagonal components of right-hand-side
dvec	b
	diagonal components of right-hand-side
dvec	c
	superdiagonal components of right-hand-side
dvec	k
	constant contribution to ‘y’`
dvec	lu_b
dvec	lu_c
dvec	lu_d
dvec	invDenom_
unsigned int	stepCount
	the number of steps taken since last initialization
int	N
	The system size.
dvec	yprev
	previous solution

Additional Inherited Members
Public Attributes inherited from Integrator
dvec	y
	solution vector
dvec	ydot
	derivative of state vector
double	t
	current time
Protected Attributes inherited from Integrator
double	h
	timestep
size_t	N
	Dimension of y.

Detailed Description

Integrator using 1st and 2nd order BDF for tridiagonal systems, with matrix inversions done using the Thomas algorithm.

Constructor & Destructor Documentation

TridiagonalIntegrator()

TridiagonalIntegrator::TridiagonalIntegrator

(

TridiagonalODE &

ode

)

~TridiagonalIntegrator()

virtual TridiagonalIntegrator::~TridiagonalIntegrator ( )

inlinevirtual

Member Function Documentation

set_y0()

void TridiagonalIntegrator::set_y0 ( const dvec &  y0 )

virtual

Set the initial condition for the problem.

Must be called before starting integration.

Reimplemented from Integrator.

resize()

void TridiagonalIntegrator::resize

(

size_t

N_in

)

initialize()

void TridiagonalIntegrator::initialize ( const double  t0, const double  h  )

virtual

Set up parameters and problem-dependent data structures for the solver.

Must be called before starting integration.

Parameters

t0	Start time for the integration
h	initial step size

Reimplemented from Integrator.

get_ydot()

const dvec & TridiagonalIntegrator::get_ydot ( )

virtual

Get the time derivative of the current state vector.

Implements Integrator.

step()

void TridiagonalIntegrator::step ( )

virtual

Take a single step using the current step size.

Implements Integrator.

Member Data Documentation

myODE

TridiagonalODE& TridiagonalIntegrator::myODE

private

a

dvec TridiagonalIntegrator::a

private

subdiagonal components of right-hand-side

b

dvec TridiagonalIntegrator::b

private

diagonal components of right-hand-side

c

dvec TridiagonalIntegrator::c

private

superdiagonal components of right-hand-side

k

dvec TridiagonalIntegrator::k

private

constant contribution to ‘y’`

lu_b

dvec TridiagonalIntegrator::lu_b

private

lu_c

dvec TridiagonalIntegrator::lu_c

private

lu_d

dvec TridiagonalIntegrator::lu_d

private

invDenom_

dvec TridiagonalIntegrator::invDenom_

private

stepCount

unsigned int TridiagonalIntegrator::stepCount

private

the number of steps taken since last initialization

N

int TridiagonalIntegrator::N

private

The system size.

yprev

dvec TridiagonalIntegrator::yprev

private

previous solution

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

• src/integrator.h
• src/integrator.cpp