Sandals::SSPRK93Tableau< Real > Class Template Reference

Butcher tableau for the 9-stage strong-stability preserving Runge-Kutta order 3 method. More...

#include <SSPRK93.hh>

Inherits Sandals::Tableau< Real, 9 >.

Public Member Functions
	SSPRK93Tableau ()
Public Member Functions inherited from Sandals::Tableau< Real, 9 >
bool	check (bool verbose=false) const

Additional Inherited Members
Public Types inherited from Sandals::Tableau< Real, 9 >
using	Type
using	Vector
using	Matrix
Public Attributes inherited from Sandals::Tableau< Real, 9 >
const Real	SQRT_EPSILON
std::string	name
Type	type
Integer	order
Integer	order_e
Matrix	A
Vector	b
Vector	b_e
Vector	c
bool	is_embedded

Detailed Description

template<typename Real>
class Sandals::SSPRK93Tableau< Real >

Butcher tableau for the 9-stage strong-stability preserving Runge-Kutta order 3 method:

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

Template Parameters

Real	The scalar number type.

Constructor & Destructor Documentation

SSPRK93Tableau()

template<typename Real>

Sandals::SSPRK93Tableau< Real >::SSPRK93Tableau ( )

inline

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

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

• include/Sandals/RungeKutta/SSPRK93.hh