bulirsch_stoer Module Reference

This module contains the Bulirsch-Stoer Integrator routines. More...

Public Member Functions
subroutine	bsstep (Psi, DtPsi, PsiDim, IntPeriod, AbsTime, IntOrder, LargeStep, TolError, ActualLargeStep, NextLargeStep, SmallSteps, ErrorCode, AuxPsi, Func, CalcError, Extrapol)
	Driver routine for the BS integrator. More...
subroutine	modmidpoint (SavedPsi, EstimatedPsi, DtPsi, Psi1, Psi2, PsiDim, LargeStepSize, InitialTime, NumberOfSteps, Func)
	BS modified middle point evaluation. More...
subroutine	absbserror (PsiError, PsiDim, Error)
	Absolute BS error evaluation. More...
subroutine	relbserror (Psi, PsiError, PsiDim, Error)
	Relative BS error evaluation. More...
subroutine	polyextrapol (Column, Psi, DeltaPsi, Difference, Tableau, PsiDim, SquaredStepSize, IntOrder)
	Polynomial extrapolation for the first step. More...
subroutine	bserrormsg (Error, Msg)
	BS error message output. More...

Detailed Description

This module contains the Bulirsch-Stoer Integrator routines.

Member Function/Subroutine Documentation

subroutine bulirsch_stoer::absbserror	(	complex*16, dimension(psidim)	PsiError,
		integer	PsiDim,
		real*8	Error
	)

Absolute BS error evaluation.

Referenced by integration::integrator_nlevelorb(), and integration::integrator_orb().

Here is the caller graph for this function:

subroutine bulirsch_stoer::bserrormsg	(	integer	Error,
		character*(*)	Msg
	)

BS error message output.

subroutine bulirsch_stoer::bsstep	(	complex*16, dimension(psidim)	Psi,
		complex*16, dimension(psidim)	DtPsi,
		integer	PsiDim,
		real*8	IntPeriod,
		real*8	AbsTime,
		integer	IntOrder,
		real*8	LargeStep,
		real*8	TolError,
		real*8	ActualLargeStep,
		real*8	NextLargeStep,
		integer	SmallSteps,
		integer	ErrorCode,
		complex*16, dimension(psidim,intorder+2)	AuxPsi,
		external	Func,
		external	CalcError,
		external	Extrapol
	)

Driver routine for the BS integrator.

References orbital_equationofmotion::func(), and modmidpoint().

Referenced by integration::integrator_nlevelorb(), and integration::integrator_orb().

Here is the call graph for this function:

Here is the caller graph for this function:

subroutine bulirsch_stoer::modmidpoint	(	complex*16, dimension(psidim)	SavedPsi,
		complex*16, dimension(psidim)	EstimatedPsi,
		complex*16, dimension(psidim)	DtPsi,
		complex*16, dimension(psidim)	Psi1,
		complex*16, dimension(psidim)	Psi2,
		integer	PsiDim,
		real*8	LargeStepSize,
		real*8	InitialTime,
		integer	NumberOfSteps,
		external	Func
	)

BS modified middle point evaluation.

References orbital_equationofmotion::func().

Referenced by bsstep().

Here is the call graph for this function:

Here is the caller graph for this function:

subroutine bulirsch_stoer::polyextrapol	(	integer	Column,
		complex*16, dimension(psidim)	Psi,
		complex*16, dimension(psidim)	DeltaPsi,
		complex*16, dimension(psidim)	Difference,
		complex*16, dimension(psidim,intorder-1)	Tableau,
		integer	PsiDim,
		real*8	SquaredStepSize,
		integer	IntOrder
	)

Polynomial extrapolation for the first step.

Referenced by integration::integrator_nlevelorb(), and integration::integrator_orb().

Here is the caller graph for this function:

subroutine bulirsch_stoer::relbserror	(	complex*16, dimension(psidim)	Psi,
		complex*16, dimension(psidim)	PsiError,
		integer	PsiDim,
		real*8	Error
	)

Relative BS error evaluation.

---

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

• Module_Bulirsch_Stoer.F