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What's the difference between this and forward Euler? Maybe I'm missing something obvious, but they seem to be doing the same thing to me.


How would symplectic euler equation look like mathematically?


What will happen if we flip the update rule (i.e., update configuration using current velocity and update velocity using new configuration)?


Are there any advantages to Forward Euler over Symplectic Euler or is stable always better?


Is the backward euler evaluating the new velocity using next configuration?


How exactly is this better than forward/backward Euler? They seem similar enough that I find it hard to believe that one will produce a significantly better one over the other.