Sandals::SSPRK104Tableau Class Reference

Butcher tableau for the 10-stage strong-stability preserving Runge-Kutta order 4 method. More...

#include <SSPRK104.hxx>

Inherits Sandals::Tableau< 10 >.

Public Member Functions
	SSPRK104Tableau ()
Public Member Functions inherited from Sandals::Tableau< 10 >
bool	check (bool verbose=false) const

Additional Inherited Members
Public Types inherited from Sandals::Tableau< 10 >
using	Type
using	Vector
using	Matrix
Public Attributes inherited from Sandals::Tableau< 10 >
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 10-stage strong-stability preserving Runge-Kutta order 4 method:

\[\begin{array}{c|cccccccccc} 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{3} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{2} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{2}{3} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{3} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & 0 & 0 & 0 & 0 & 0 \\ \frac{1}{2} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & 0 & 0 & 0 & 0 \\ \frac{2}{3} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & 0 & 0 & 0 \\ \frac{5}{6} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 & 0 \\ 1 & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{15} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & 0 \\ \hline & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} \end{array} \text{.} \]

Constructor & Destructor Documentation

SSPRK104Tableau()

Sandals::SSPRK104Tableau::SSPRK104Tableau ( )

inline

Class constructor for the 10-stage strong-stability preserving Runge-Kutta order 4 method.

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

• include/Sandals/Tableau/SSPRK104.hxx