Pdes

Files
file	DissipativeVectorField.h
file	GeometricBound.h
file	GeometricBound.hpp
file	OneDimKSSineVectorField.h
file	PdeAffineSection.h
file	PdeSolver.h
file	PolyLogBound.h
file	PolynomialBound.h
file	PolynomialBound.hpp
file	GeometricBound.cpp

Classes
class	capd::pdes::C0DoubletonSetGeometricTail< BaseT >
class	capd::pdes::C1DoubletonSetGeometricTail< Policies >
class	capd::pdes::PdeAbstractSection< VectorT, MatrixT >
class	capd::pdes::PdeCurve< SeriesT >
	This class is a data structure for storing of a parametric curve together with first order derivatives with respect to initial point. More...
struct	capd::pdes::ComputeOneStepSectionEnclosure< isC1 >
struct	capd::pdes::ComputeOneStepSectionEnclosure< false >
struct	capd::pdes::PdeSectionDerivativesEnclosure< VectorT, MatrixT >

Functions
void	capd::pdes::C0DoubletonSetGeometricTail< BaseT >::initMove (C0DoubletonSetGeometricTail &result) const
void	capd::pdes::C0DoubletonSetGeometricTail< BaseT >::finalizeMove (C0DoubletonSetGeometricTail &result) const
void	capd::pdes::C0DoubletonSetGeometricTail< BaseT >::move (DynSysType &dynsys, C0DoubletonSetGeometricTail &result) const
	computes image of the set after one step/iterate of the dynamical system and stores it in result More...
void	capd::pdes::C1DoubletonSetGeometricTail< Policies >::move (DynSysType &dynsys, C1DoubletonSetGeometricTail &result) const
	computes image of the set after one step/iterate of the dynamical system and stores it in result More...
size_type	capd::pdes::PdeCurve< SeriesT >::getOrder () const
	Returns the order of Taylor interpolation. More...
size_type	capd::pdes::PdeCurve< SeriesT >::dimension () const
	Returns the dimension in which the relevant dynamics is observed. More...
const ScalarType	capd::pdes::PdeCurve< SeriesT >::centerCoefficient (size_type i, size_type j) const
const ScalarType	capd::pdes::PdeCurve< SeriesT >::coefficient (size_type i, size_type j) const
const ScalarType	capd::pdes::PdeCurve< SeriesT >::remainderCoefficient (size_type i, size_type j) const
const ScalarType	capd::pdes::PdeCurve< SeriesT >::coefficient (size_type i, size_type j, size_type k) const
	capd::pdes::PdeCurve< SeriesT >::PdeCurve (size_type dim, size_type order)
virtual void	capd::pdes::PdeCurve< SeriesT >::setOrder (size_type order)
	Sets the order of Taylor interpolation. More...
void	capd::pdes::PdeCurve< SeriesT >::clearCoefficients ()
	sets all coefficients to zero More...
void	capd::pdes::PdeCurve< SeriesT >::realloc (size_type dimension)
template<class V >
void	capd::pdes::PdeCurve< SeriesT >::sumTaylorSeries (V &x, const VectorArray &c, ScalarType h, int p, size_type dim) const
void	capd::pdes::PdeCurve< SeriesT >::sumTaylorSeries (MatrixType &A, const MatrixArray &J, ScalarType h, int p, size_type dim) const

Detailed Description

Function Documentation

centerCoefficient()

template<class SeriesT >

const PdeCurve< SeriesT >::ScalarType capd::pdes::PdeCurve< SeriesT >::centerCoefficient ( size_type  i, size_type  j  ) const

inline

clearCoefficients()

template<class SeriesT >

void capd::pdes::PdeCurve< SeriesT >::clearCoefficients

sets all coefficients to zero

coefficient() [1/2]

template<class SeriesT >

const PdeCurve< SeriesT >::ScalarType capd::pdes::PdeCurve< SeriesT >::coefficient ( size_type  i, size_type  j  ) const

inline

coefficient() [2/2]

template<class SeriesT >

const PdeCurve< SeriesT >::ScalarType capd::pdes::PdeCurve< SeriesT >::coefficient ( size_type  i, size_type  j, size_type  k  ) const

inline

dimension()

template<class SeriesT >

PdeCurve< SeriesT >::size_type capd::pdes::PdeCurve< SeriesT >::dimension

inline

Returns the dimension in which the relevant dynamics is observed.

finalizeMove()

template<typename BaseT >

void capd::pdes::C0DoubletonSetGeometricTail< BaseT >::finalizeMove

(

C0DoubletonSetGeometricTail< BaseT > &

result

)

const

getOrder()

template<class SeriesT >

PdeCurve< SeriesT >::size_type capd::pdes::PdeCurve< SeriesT >::getOrder

inline

Returns the order of Taylor interpolation.

initMove()

template<typename BaseT >

void capd::pdes::C0DoubletonSetGeometricTail< BaseT >::initMove

(

C0DoubletonSetGeometricTail< BaseT > &

result

)

const

move() [1/2]

template<typename BaseT >

void capd::pdes::C0DoubletonSetGeometricTail< BaseT >::move ( DynSysType &  dynsys, C0DoubletonSetGeometricTail< BaseT > &  result  ) const

inline

computes image of the set after one step/iterate of the dynamical system and stores it in result

move() [2/2]

template<typename Policies >

void capd::pdes::C1DoubletonSetGeometricTail< Policies >::move	(	DynSysType &	dynsys,
		C1DoubletonSetGeometricTail< Policies > &	result
	)		const

computes image of the set after one step/iterate of the dynamical system and stores it in result

PdeCurve()

template<class SeriesT >

capd::pdes::PdeCurve< SeriesT >::PdeCurve	(	size_type	dim,
		size_type	order
	)

realloc()

template<class SeriesT >

void capd::pdes::PdeCurve< SeriesT >::realloc ( size_type  dimension )

protected

remainderCoefficient()

template<class SeriesT >

const PdeCurve< SeriesT >::ScalarType capd::pdes::PdeCurve< SeriesT >::remainderCoefficient ( size_type  i, size_type  j  ) const

inline

setOrder()

template<class SeriesT >

void capd::pdes::PdeCurve< SeriesT >::setOrder ( size_type  order )

virtual

Sets the order of Taylor interpolation.

sumTaylorSeries() [1/2]

template<class SeriesT >

void capd::pdes::PdeCurve< SeriesT >::sumTaylorSeries ( MatrixType &  A, const MatrixArray &  J, ScalarType  h, int  p, size_type  dim  ) const

protected

sumTaylorSeries() [2/2]

template<class SeriesT >

template<class V >

void capd::pdes::PdeCurve< SeriesT >::sumTaylorSeries ( V &  x, const VectorArray &  c, ScalarType  h, int  p, size_type  dim  ) const

protected