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math.NA2025
Fast Mixed-Precision Real Evaluation
Artem Yadrov, Pavel Panchekha
Evaluating real-valued expressions to high precision is a key building block in computational mathematics, physics, and numerics. A typical implementation evaluates the whole expre…
math.NA2021
An Interval Arithmetic for Robust Error Estimation
Oliver Flatt, Pavel Panchekha
Interval arithmetic is a simple way to compute a mathematical expression to an arbitrary accuracy, widely used for verifying floating-point computations. Yet this simplicity belies…