With a given ODE or a system of ODEs and I am going to use explicit Euler method and not $A$ stable and not isometric preserving one step Runge-Kutta method. How do I determine which method is better than the other when we apply to a ODE and a system of ODEs?
For an ODE, I think I need to look the order of consistency； for a system of odes, I think I will use explicit Euler method because it is $A$ stable. I am not sure I have a right idea or not. Any help are appreciated!