Table 1 Order of accuracy for various combinations of Taylor series terms and multi-stage integrators
Integrator | Taylor series terms | |||
|---|---|---|---|---|
\(\Delta t\) | \(\Delta t^3\) | \(\Delta t^5\) | \(\tan\) | |
Euler | 1st | 1st | 1st | 1st |
Mid-point | 2nd | 2nd | 2nd | 2nd |
Trapezoid | 2nd | 2nd | 2nd | 2nd |
Heun3 | 2nd | 3rd | 3rd | 3rd |
RK3 | 2nd | 3rd | 3rd | 3rd |
RK4 | 2nd | 4th | 4th | 4th |
Kutta-3/8 | 2nd | 4th | 4th | 4th |