shminux comments on Concept Safety: World-models as tools - Less Wrong Discussion
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http://en.wikipedia.org/wiki/Rate_of_convergence
http://en.wikipedia.org/wiki/Numerical_methods_for_ordinary_differential_equations#Convergence
also http://en.wikipedia.org/wiki/Numerical_stability
In general, most of the sub-problems you find in any new research are not new and have been solved elsewhere, the hard part is to formulate them abstractly enough to be able to google the relevant concepts.
Thanks!
Very true.