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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

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Interval arithmetic with different definitions of intervals

I know of a variant of interval arithmetic called ball arithmetic. It seems as though it may be like what you're looking for. Ball arithmetic is currently implemented in the C library, Arb. Here is …
Rick Farr's user avatar