Sandals
v0.0.0
A C++ library for ODEs/DAEs integration
|
Butcher tableau for the Runge-Kutta-Fehlberg 4(5) method. More...
#include <Fehlberg45.hxx>
Inherits Sandals::Tableau< 6 >.
Public Member Functions | |
Fehlberg45Tableau () | |
![]() | |
bool | check (bool verbose=false) const |
Additional Inherited Members | |
![]() | |
using | Type |
using | Vector |
using | Matrix |
![]() | |
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 Runge-Kutta-Fehlberg 4(5) method:
\[\begin{array}{c|cccccc} 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1/4 & 1/4 & 0 & 0 & 0 & 0 & 0 \\ 3/8 & 3/32 & 9/32 & 0 & 0 & 0 & 0 \\ 12/13 & 1932/2197 & -7200/2197 & 7296/2197 & 0 & 0 & 0 \\ 1 & 439/216 & -8 & 3680/513 & -845/4104 & 0 & 0 \\ 1/2 & -8/27 & 2 & -3544/2565 & 1859/4104 & -11/40 & 0 \\ \hline & 16/135 & 0 & 6656/12825 & 28561/56430 & -9/50 & 2/55 \\ & 25/216 & 0 & 1408/2565 & 2197/4104 & -1/5 & 0 \\ \end{array} \text{.} \]
|
inline |
Class constructor for the Runge-Kutta-Fehlberg 4(5) method.