Sandals::Ralston4Tableau< Real > Class Template Reference

Butcher tableau for the Ralston's order 4 method. More...

#include <Ralston4.hh>

Inherits Sandals::Tableau< Real, 4 >.

Public Member Functions
	Ralston4Tableau ()
Public Member Functions inherited from Sandals::Tableau< Real, 4 >
bool	check (bool verbose=false) const

Additional Inherited Members
Public Types inherited from Sandals::Tableau< Real, 4 >
using	Type
using	Vector
using	Matrix
Public Attributes inherited from Sandals::Tableau< Real, 4 >
const Real	SQRT_EPSILON
std::string	name
Type	type
Integer	order
Integer	order_e
Matrix	A
Vector	b
Vector	b_e
Vector	c
bool	is_embedded

Detailed Description

template<typename Real>
class Sandals::Ralston4Tableau< Real >

Butcher tableau for the Ralston's order 4 method:

\[\begin{array}{c|ccccc} 0 & 0 & 0 & 0 & 0 \\ \frac{2}{5} & \frac{4}{10} & 0 & 0 & 0 \\ \frac{7}{8}-\frac{3}{16}\sqrt{5} & \frac{357}{256}\sqrt{5}-\frac{2889}{1024} & \frac{3785}{1024}-\frac{405}{256}\sqrt{5} & 0 & 0 \\ 1 & \frac{1047}{3020}\sqrt{5}-\frac{673}{1208} & -\frac{975}{2552}-\frac{1523}{1276}\sqrt{5} & \frac{93408}{48169}+\frac{203968}{240845}\sqrt{5} & 0 \\ \hline & \frac{263}{1812}+\frac{2}{151}\sqrt{5} & \frac{125}{3828}-\frac{250}{957}\sqrt{5} & \frac{3426304}{5924787}+\frac{553984}{1974929}\sqrt{5} & \frac{10}{41}-\frac{4}{123}\sqrt{5} \end{array} \text{.} \]

Template Parameters

Real	The scalar number type.

Constructor & Destructor Documentation

Ralston4Tableau()

template<typename Real>

Sandals::Ralston4Tableau< Real >::Ralston4Tableau ( )

inline

Class constructor for the Ralston's order 4 method.

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

• include/Sandals/RungeKutta/Ralston4.hh