Table 2 Algorithms from EHP for the conservative system

Jquad

$\left[\begin{array}{ccc}\hfill \frac{X}{12ha}\hfill & \hfill 0\hfill & \hfill \frac{1}{2}\hfill \\ \hfill -\frac{X}{12ha}\hfill & \hfill 1\hfill & \hfill \frac{1}{2}\hfill \\ \hfill 1\hfill & \hfill 0\hfill & \hfill -\frac{2a}{h}\hfill \end{array}\right]$

$\left[\begin{array}{ccc}\hfill \frac{X}{12ha}\hfill & \hfill 1\hfill & \hfill \frac{1}{2}\hfill \\ \hfill -\frac{X}{12ha}\hfill & \hfill 0\hfill & \hfill \frac{1}{2}\hfill \\ \hfill -1\hfill & \hfill 0\hfill & \hfill -\frac{2a}{h}\hfill \end{array}\right]$

Uquad

$\left[\begin{array}{ccc}\hfill -\frac{m}{h}\hfill & \hfill 0\hfill & \hfill \frac{Y}{6h^2}\hfill \\ \hfill -\frac{3m}{h}\hfill & \hfill -1\hfill & \hfill \frac{Y}{6h^2}\hfill \\ \hfill \frac{4m}{h}\hfill & \hfill 0\hfill & \hfill -\frac{2X}{3h^2}\hfill \end{array}\right]$

$\left[\begin{array}{ccc}\hfill \frac{3m}{h}\hfill & \hfill -1\hfill & \hfill \frac{Y}{6h^2}\hfill \\ \hfill \frac{m}{h}\hfill & \hfill 0\hfill & \hfill \frac{Y}{6h^2}\hfill \\ \hfill -\frac{4m}{h}\hfill & \hfill 0\hfill & \hfill -\frac{2}{3}\frac{X}{h^2}\hfill \end{array}\right]$

UJquad

$\left[\begin{array}{ccc}\hfill -\frac{1}{12}\frac{\left(12ma+h^2\right)}{ha}\hfill & \hfill 0\hfill & \hfill \frac{Y}{6h^2}\hfill \\ \hfill \frac{1}{12}\frac{\left(-36ma+h^2\right)}{ha}\hfill & \hfill 1\hfill & \hfill \frac{Y}{6h^2}\hfill \\ \hfill \frac{4m}{h}\hfill & \hfill 0\hfill & \hfill -\frac{2X}{3h^2}\hfill \end{array}\right]$

$\left[\begin{array}{ccc}\hfill \frac{1}{12}\frac{\left(36ma-h^2\right)}{ha}\hfill & \hfill 1\hfill & \hfill \frac{Y}{6h^2}\hfill \\ \hfill \frac{1}{12}\frac{\left(12ma+h^2\right)}{ha}\hfill & \hfill 0\hfill & \hfill \frac{Y}{6h^2}\hfill \\ \hfill -\frac{4m}{h}\hfill & \hfill 0\hfill & \hfill -\frac{2X}{3h^2}\hfill \end{array}\right]$