> meaning errors will accrue over time This is not universally true. Error behavior is a function of the particular problem, the algorithm used to approximate

> meaning errors will accrue over time This is not universally true. Error behavior is a function of the particular problem, the algorithm used to approximate its solution, and the properties of input data. A large subtopic of numerical analysis is concerned with this kind of stuff. See [1] or [2] to get a flavor. [1]: https://en.wikipedia.org/wiki/Numerical_stability https://en.wikipedia.org/wiki/Numerical_stability [2]: https://en.wikipedia.org/wiki/Lax_equivalence_theorem https://en.wikipedia.org/wiki/Lax_equivalence_theorem