GradientFlow_AdaptiveRungeKutta Class Reference

GradientFlow_AdaptiveRungeKutta construction. More...

#include <gradientFlow_AdaptiveRungeKutta.h>

Inheritance diagram for GradientFlow_AdaptiveRungeKutta:

Public Member Functions
	GradientFlow_AdaptiveRungeKutta (GradientFlow_RungeKutta *RK, const double tolerance, const double safety, const Bridge::VerboseLevel vl)
	~GradientFlow_AdaptiveRungeKutta ()
void	flow (double &t, double &Estep, Field_G &U)
int	Norder_RK () const
Public Member Functions inherited from GradientFlow_RungeKutta
	GradientFlow_RungeKutta (Action *action, const int Nprec, const Bridge::VerboseLevel vl)
virtual	~GradientFlow_RungeKutta ()

Static Public Attributes
static const std::string	class_name = "GradientFlow_AdaptiveRungeKutta"

Protected Attributes
Bridge::VerboseLevel	m_vl

Private Member Functions
double	max_diff_U (const Field_G &U1, const Field_G &U0) const

Private Attributes
Action *	m_action
int	m_Ndim
int	m_Nvol
GradientFlow_RungeKutta *	m_RK
double	m_tolerance
double	m_safety
Field_G	m_U_rough
Field_G	m_U_fine

Detailed Description

GradientFlow_AdaptiveRungeKutta construction.

This class implements Runge-Kutta method with adaptive step size control by step doubling for GradientFlow. See C.W.Gear, Englewood Cliffs, NJ: Prentice-Hall (1971). RK_adaptive tends to deviate from the expected_result by O(10^{-11}), because RK_adaptive reflects rounding errors severely. [01 May 2015 Y.Namekawa] Adaptive stepsize algorithm is organised by composite pattern by Aoyama-san.

Definition at line 34 of file gradientFlow_AdaptiveRungeKutta.h.

Constructor & Destructor Documentation

GradientFlow_AdaptiveRungeKutta::GradientFlow_AdaptiveRungeKutta ( GradientFlow_RungeKutta *  RK, const double  tolerance, const double  safety, const Bridge::VerboseLevel  vl  )

inline

Definition at line 56 of file gradientFlow_AdaptiveRungeKutta.h.

GradientFlow_AdaptiveRungeKutta::~GradientFlow_AdaptiveRungeKutta ( )

inline

Definition at line 71 of file gradientFlow_AdaptiveRungeKutta.h.

Member Function Documentation

void GradientFlow_AdaptiveRungeKutta::flow ( double &  t, double &  Estep, Field_G &  U  )

virtual

Implements GradientFlow_RungeKutta.

Definition at line 19 of file gradientFlow_AdaptiveRungeKutta.cpp.

double GradientFlow_AdaptiveRungeKutta::max_diff_U ( const Field_G &  U1, const Field_G &  U0  ) const

private

Definition at line 67 of file gradientFlow_AdaptiveRungeKutta.cpp.

int GradientFlow_AdaptiveRungeKutta::Norder_RK ( ) const

inlinevirtual

Implements GradientFlow_RungeKutta.

Definition at line 75 of file gradientFlow_AdaptiveRungeKutta.h.

Member Data Documentation

const std::string GradientFlow_AdaptiveRungeKutta::class_name = "GradientFlow_AdaptiveRungeKutta"

static

Definition at line 37 of file gradientFlow_AdaptiveRungeKutta.h.

Action* GradientFlow_AdaptiveRungeKutta::m_action

private

Definition at line 43 of file gradientFlow_AdaptiveRungeKutta.h.

int GradientFlow_AdaptiveRungeKutta::m_Ndim

private

Definition at line 45 of file gradientFlow_AdaptiveRungeKutta.h.

int GradientFlow_AdaptiveRungeKutta::m_Nvol

private

Definition at line 46 of file gradientFlow_AdaptiveRungeKutta.h.

GradientFlow_RungeKutta* GradientFlow_AdaptiveRungeKutta::m_RK

private

Definition at line 48 of file gradientFlow_AdaptiveRungeKutta.h.

double GradientFlow_AdaptiveRungeKutta::m_safety

private

Definition at line 51 of file gradientFlow_AdaptiveRungeKutta.h.

double GradientFlow_AdaptiveRungeKutta::m_tolerance

private

Definition at line 50 of file gradientFlow_AdaptiveRungeKutta.h.

Field_G GradientFlow_AdaptiveRungeKutta::m_U_fine

private

Definition at line 53 of file gradientFlow_AdaptiveRungeKutta.h.

Field_G GradientFlow_AdaptiveRungeKutta::m_U_rough

private

Definition at line 53 of file gradientFlow_AdaptiveRungeKutta.h.

Bridge::VerboseLevel GradientFlow_AdaptiveRungeKutta::m_vl

protected

Definition at line 40 of file gradientFlow_AdaptiveRungeKutta.h.

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

• src/lib/Measurements/Gauge/gradientFlow_AdaptiveRungeKutta.h
• src/lib/Measurements/Gauge/gradientFlow_AdaptiveRungeKutta.cpp