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

#include <Stokhos_KL_OneDEigenPair.hpp>

Inheritance diagram for Stokhos::KL::ExponentialOneDEigenFunction< value_type >:

Collaboration diagram for Stokhos::KL::ExponentialOneDEigenFunction< value_type >:

Public Types
enum	TYPE { SIN, COS }
	Enum identifying the type of eigenfunction. More...
Public Member Functions
	ExponentialOneDEigenFunction (TYPE type_, const value_type &a_, const value_type &b_, const value_type &omega_, const std::string &dim_name_)
	Constructor.
	~ExponentialOneDEigenFunction ()
	Destructor.
virtual value_type	evaluate (const value_type &x) const
	Evaluate eigenfunction.
virtual void	print (std::ostream &os) const
	Print eigenfunction.
TYPE	getType () const
	Return type.
value_type	getFrequency () const
	Return frequency.
value_type	getMultiplier () const
	Return multiplier.
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.
std::string	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_type >

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: