Class GaussLegendre6

Inheritance Relationships

Base Type

  • public Indigo::RungeKutta

Class Documentation

class GaussLegendre6 : public Indigo.RungeKutta

Class container for Gauss-Legendre 6 method.

Public Functions

function GaussLegendre6()

Gauss-Legendre 6 method.

\[\begin{split} \begin{array}{c|ccc} 1/2-t_1 & w & z-t_2 & w-t_4 \\ 1/2 & w+t_3 & z & w-t_3 \\ 1/2+t_1 & w+t_4 & z+t_2 & w \\ \hline & 5/18 & 4/9 & 5/18 \end{array} \quad t_1 = \displaystyle\frac{\sqrt{15}}{10} \quad t_2 = \displaystyle\frac{\sqrt{15}}{15} \quad t_3 = \displaystyle\frac{\sqrt{15}}{24} \quad t_4 = \displaystyle\frac{\sqrt{15}}{30} \quad w = \displaystyle\frac{5}{36} \quad z = \displaystyle\frac{2}{9} \end{split}\]