3 ms·

In general, floating point error can accumulate in iterative algorithms where you are feeding the result of one calculation into the next step.

• andi999 5y ago
  Yes. If you have a positive Ljapunov coefficient that will happen. But then what the article does won't help you either
  • johnbcoughlin 5y ago
    If you know about Lyapunov coefficients then you should also know about the concept of order of accuracy. If I'm developing a code that is supposed to be second order in time and space, then when I'm running my convergence study, I better be able to control the floating point error in my computation of the total energy, so that I can properly attribute the error I do observe to power series truncation, or what have you.
  • thehappypm 5y ago
    The article is not saying that this is even all that useful or revelatory -- but it's just something to keep in mind.