Processing math: 100%
Sandals  v0.0.0
A C++ library for ODEs/DAEs integration
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Sandals::GaussLegendre6Tableau Class Reference

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

#include <GaussLegendre6.hxx>

Inherits Sandals::Tableau< 3 >.

Public Member Functions

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

Additional Inherited Members

- Public Types inherited from Sandals::Tableau< 3 >
using Type
 
using Vector
 
using Matrix
 
- Public Attributes inherited from Sandals::Tableau< 3 >
std::string name
 
Type type
 
Integer order
 
Integer order_e
 
Matrix A
 
Vector b
 
Vector b_e
 
Vector c
 
bool is_embedded
 

Detailed Description

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()

Sandals::GaussLegendre6Tableau::GaussLegendre6Tableau ( )
inline

Class constructor for the Gauss-Legendre order 6 method.


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