One-dimensional eigenfunction for exponential covariance function. More...

#include <Stokhos_KL_OneDExponentialEigenPair.hpp>

Public Types
enum	TYPE { SIN, COS }
	Enum identifying the type of eigenfunction. More...

typedef Value	value_type

Public Member Functions
KOKKOS_INLINE_FUNCTION	ExponentialOneDEigenFunction ()
	Default Constructor.

KOKKOS_INLINE_FUNCTION	ExponentialOneDEigenFunction (TYPE type_, const value_type &a_, const value_type &b_, const value_type &omega_, const int dim_name_)
	Constructor.

KOKKOS_INLINE_FUNCTION	~ExponentialOneDEigenFunction ()
	Destructor.

template<typename point_type >
KOKKOS_INLINE_FUNCTION point_type	evaluate (const point_type &x) const
	Evaluate eigenfunction.

void	print (std::ostream &os) const
	Print eigenfunction.

KOKKOS_INLINE_FUNCTION TYPE	getType () const
	Return type.

KOKKOS_INLINE_FUNCTION value_type	getFrequency () const
	Return frequency.

KOKKOS_INLINE_FUNCTION value_type	getMultiplier () const
	Return multiplier.

KOKKOS_INLINE_FUNCTION value_type	getShift () const
	Get shift.

Protected Attributes
TYPE	type
	Type of eigenfunction (sin or cos)

value_type	a
	Domain length.

value_type	b
	Domain center.

value_type	A
	Multiplier for eigenfunction.

value_type	omega
	Frequency of eigenfunction.

int	dim_name
	Dimesion name (e.g., x_1) for printing eigenfunction.

Detailed Description

One-dimensional eigenfunction for exponential covariance function.

Represents an eigenfunction of the form $A \sin(\omega (x-(b+a)/2))$ or $A \cos(\omega (x-(b+a)/2))$ over the domain $[a,b]$ where

$A = \frac{1}{\sqrt{\frac{b-a}{2} \pm \frac{\sin(\omega(b-a)}{2\omega}}}$

for $\cos$ , $\sin$ respectively.

Member Enumeration Documentation

template<typename Value>

Enum identifying the type of eigenfunction.

Enumerator
SIN	Asin(omega(x-b))
COS	Acos(omega(x-b))

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