Sandals
v0.0.0
A C++ library for ODEs/DAEs integration
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Butcher tableau for the Gauss-Legendre order 6 method. More...
#include <GaussLegendre6.hxx>
Inherits Sandals::Tableau< 3 >.
Public Member Functions | |
GaussLegendre6Tableau () | |
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bool | check (bool verbose=false) const |
Additional Inherited Members | |
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using | Type |
using | Vector |
using | Matrix |
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std::string | name |
Type | type |
Integer | order |
Integer | order_e |
Matrix | A |
Vector | b |
Vector | b_e |
Vector | c |
bool | is_embedded |
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 .
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inline |
Class constructor for the Gauss-Legendre order 6 method.