Sandals
v0.0.0
A C++ library for ODEs/DAEs integration
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Butcher tableau for the 9-stage strong-stability preserving Runge-Kutta order 3 method. More...
#include <SSPRK93.hxx>
Inherits Sandals::Tableau< 9 >.
Public Member Functions | |
SSPRK93Tableau () | |
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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 9-stage strong-stability preserving Runge-Kutta order 3 method:
\[\begin{array}{c|ccccccccc} 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{3} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{2} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{2}{3} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 \\ \frac{5}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 \\ \frac{1}{2} & \frac{1}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & 0 & 0 & 0 \\ \frac{2}{3} & \frac{1}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & 0 & 0 \\ \frac{5}{6} & \frac{1}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & 0 \\ \hline & \frac{1}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} \end{array} \text{.} \]
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inline |
Class constructor for the 9-stage strong-stability preserving Runge-Kutta order 3 method.