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We could compute incrementally. However, I don't see any advantage while I see two drawbacks. (1) It would take more time : incrementing MUST be done at each step, or you miss some work done and all subsequent results will be missing this part. OTOH, you can compute elastic energy only on demand (say, each N iterations) with total equations. (2) It would result in accumulating rounding errors, so better avoid it IF possible.To be more precise, we could compute incrementally the work done by the springs in the systems more than the elastic energy. Almost in the same way as we get the dissipated energy due to friction (it is not too difficult to make distinction between work and energy if we think that work is defined as a variation of energy, hence we get it incrementally). I just guess which one should be monitored, if the work done or the energy..
For me, monitoring energy or work is almost the same. Like if you were studying motion, you could monitor velocities or positions, they are just different orders derivatives of the same function.
Bruno
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