capd::dynsys::OdeTraits< MapT > Class Template Reference

Defines characteristic traits of ODE. More...

#include <capd/dynsys/OdeTraits.h>

Public Types
typedef MapT	MapType
typedef MapType::VectorType	VectorType
typedef MapType::MatrixType	MatrixType
typedef MapType::ScalarType	ScalarType
typedef capd::vectalg::Norm< VectorType, MatrixType >	NormType

Static Public Member Functions
static VectorType	dynsysEnclosure (MapType &vectorField, const VectorType &x0, const ScalarType &timeStep)
	Computes enclosure of solution of ODE during one time step i.e . More...
static MatrixType	jacobianEnclosure (MapType &vectorField, const ScalarType &timeStep, const VectorType &enclosure, const NormType &the_norm, ScalarType *logNormOfDerivative=0)
	Finds enclosure for Jacobian matrix (variational part) for whole time step. More...

Detailed Description

template<typename MapT>
class capd::dynsys::OdeTraits< MapT >

Defines characteristic traits of ODE.

This is default class, it should work for all ODE's. For given ODE sometimes it is better to re-implemented it.

Member Typedef Documentation

MapType

template<typename MapT >

typedef MapT capd::dynsys::OdeTraits< MapT >::MapType

MatrixType

template<typename MapT >

typedef MapType::MatrixType capd::dynsys::OdeTraits< MapT >::MatrixType

NormType

template<typename MapT >

typedef capd::vectalg::Norm<VectorType,MatrixType> capd::dynsys::OdeTraits< MapT >::NormType

ScalarType

template<typename MapT >

typedef MapType::ScalarType capd::dynsys::OdeTraits< MapT >::ScalarType

VectorType

template<typename MapT >

typedef MapType::VectorType capd::dynsys::OdeTraits< MapT >::VectorType

Member Function Documentation

dynsysEnclosure()

template<typename MapT >

static VectorType capd::dynsys::OdeTraits< MapT >::dynsysEnclosure ( MapType &  vectorField, const VectorType &  x0, const ScalarType &  timeStep  )

inlinestatic

Computes enclosure of solution of ODE during one time step i.e .

Parameters

vectorField	vector field
x0	initial condition
timeStep	final time

Returns

enclosure of solution of ODE

jacobianEnclosure()

template<typename MapT >

static MatrixType capd::dynsys::OdeTraits< MapT >::jacobianEnclosure ( MapType &  vectorField, const ScalarType &  timeStep, const VectorType &  enclosure, const NormType &  the_norm, ScalarType *  logNormOfDerivative = 0  )

inlinestatic

Finds enclosure for Jacobian matrix (variational part) for whole time step.

Parameters

	vectorField	vector field
	timeStep	time step
	enclosure	enclosure of solution of ODE during whole time step
	the_norm	logarithmic norm used to bound solution
[out]	logNormOfDerivative	if given on exit it contains logarythmic norm of derivative

Returns

matrix containing enclosure of Jacobian