Sandals  v0.0.0
A C++ library for ODEs/DAEs integration
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Sandals::SSPRK93Tableau Class Reference

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 ()
 
- Public Member Functions inherited from Sandals::Tableau< 9 >
bool check (bool verbose=false) const
 

Additional Inherited Members

- Public Types inherited from Sandals::Tableau< 9 >
using Type
 
using Vector
 
using Matrix
 
- Public Attributes inherited from Sandals::Tableau< 9 >
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 9-stage strong-stability preserving Runge-Kutta order 3 method:

\[\begin{array}{c|ccccccccc} 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{3} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{2} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{2}{3} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 \\ \frac{5}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 \\ \frac{1}{2} & \frac{1}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & 0 & 0 & 0 \\ \frac{2}{3} & \frac{1}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & 0 & 0 \\ \frac{5}{6} & \frac{1}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & 0 \\ \hline & \frac{1}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} \end{array} \text{.} \]

Constructor & Destructor Documentation

◆ SSPRK93Tableau()

Sandals::SSPRK93Tableau::SSPRK93Tableau ( )
inline

Class constructor for the 9-stage strong-stability preserving Runge-Kutta order 3 method.


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