Sandals::GaussLegendre6Tableau< Real > Class Template Reference

Butcher tableau for the Gauss-Legendre order 6 method. More...

#include <GaussLegendre6.hh>

Inherits Sandals::Tableau< Real, 3 >.

Public Member Functions
	GaussLegendre6Tableau ()
Public Member Functions inherited from Sandals::Tableau< Real, 3 >
bool	check (bool verbose=false) const

Additional Inherited Members
Public Types inherited from Sandals::Tableau< Real, 3 >
using	Type
using	Vector
using	Matrix
Public Attributes inherited from Sandals::Tableau< Real, 3 >
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::GaussLegendre6Tableau< Real >

Butcher tableau for the Gauss-Legendre order 6 method:

\[\begin{array}{c|ccc} 1/2-t_1 & w & z-t_2 & w-t_4 \\ 1/2 & w+t_3 & z & w-t_3 \\ 1/2+t_1 & w+t_4 & z+t_2 & w \\ \hline & 5/18 & 4/9 & 5/18 \end{array} \text{,} \]

with \( t_1 = \sqrt{15}/10 \), \( t_2 = \sqrt{15}/15 \), \( t_3 = \sqrt{15}/24 \), \(t_4 = \sqrt{15}/30 \), \( w = 5/36 \), and \( z = 2/9 \).

Constructor & Destructor Documentation

GaussLegendre6Tableau()

template<typename Real>

Sandals::GaussLegendre6Tableau< Real >::GaussLegendre6Tableau ( )

inline

Class constructor for the Gauss-Legendre order 6 method.

---

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

• include/Sandals/RungeKutta/GaussLegendre6.hh