A semi-implicit mid-point solver for stiff systems of ordinary differential equations. More...

Inheritance diagram for SIBS:

Collaboration diagram for SIBS:

Public Member Functions
	TypeName ("SIBS")

	SIBS (const ODESystem &ode, const dictionary &dict)

virtual	~SIBS ()=default

virtual bool	resize ()

virtual void	solve (scalar &x, scalarField &y, scalar &dxTry) const

Public Member Functions inherited from ODESolver
	TypeName ("ODESolver")

	declareRunTimeSelectionTable (autoPtr, ODESolver, dictionary,(const ODESystem &ode, const dictionary &dict),(ode, dict))

	ODESolver (const ODESystem &ode, const dictionary &dict)

	ODESolver (const ODESystem &ode, const scalarField &absTol, const scalarField &relTol)

virtual	~ODESolver ()=default

label	nEqns () const

scalarField &	absTol ()

scalarField &	relTol ()

template<class Type >
void	resizeField (UList< Type > &f) const

void	resizeMatrix (scalarSquareMatrix &m) const

virtual void	solve (scalar &x, scalarField &y, stepState &step) const

virtual void	solve (const scalar xStart, const scalar xEnd, scalarField &y, scalar &dxEst) const

Additional Inherited Members
Static Public Member Functions inherited from ODESolver
static autoPtr< ODESolver >	New (const ODESystem &ode, const dictionary &dict)

template<class Type >
static void	resizeField (UList< Type > &f, const label n)

Protected Member Functions inherited from ODESolver
scalar	normalizeError (const scalarField &y0, const scalarField &y, const scalarField &err) const

	ODESolver (const ODESolver &)=delete

void	operator= (const ODESolver &)=delete

Protected Attributes inherited from ODESolver
const ODESystem &	odes_

const label	maxN_

label	n_

scalarField	absTol_

scalarField	relTol_

label	maxSteps_

Detailed Description

A semi-implicit mid-point solver for stiff systems of ordinary differential equations.

Reference:

    Bader, G., & Deuflhard, P. (1983).
    A semi-implicit mid-point rule for stiff systems
    of ordinary differential equations.
    Numerische Mathematik, 41(3), 373-398.

Source files

Definition at line 60 of file SIBS.H.

Constructor & Destructor Documentation

◆ SIBS()

SIBS	(	const ODESystem &	ode,
		const dictionary &	dict
	)

Definition at line 45 of file SIBS.C.

◆ ~SIBS()

virtual ~SIBS ( )

virtualdefault

Member Function Documentation

◆ TypeName()

TypeName ( "SIBS" )

◆ resize()

bool resize ( )

virtual

Implements ODESolver.

Definition at line 67 of file SIBS.C.

References ODESolver::resize().

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◆ solve()

void solve	(	scalar &	x,
		scalarField &	y,
		scalar &	dxTry
	)		const

virtual

Reimplemented from ODESolver.

Definition at line 86 of file SIBS.C.

References Foam::exit(), Foam::FatalError, FatalErrorInFunction, Foam::constant::universal::h, k, Foam::mag(), Foam::max(), Foam::min(), Foam::pow(), Foam::sqr(), x, and y.