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cs.SC2012
Multiple precision evaluation of the Airy Ai function with reduced cancellation
Sylvain Chevillard, Marc Mezzarobba
The series expansion at the origin of the Airy function Ai(x) is alternating and hence problematic to evaluate for x > 0 due to cancellation. Based on a method recently proposed by…
cs.SC2012★ 3 cited
A Note on the Space Complexity of Fast D-Finite Function Evaluation
Marc Mezzarobba
We state and analyze a generalization of the "truncation trick" suggested by Gourdon and Sebah to improve the performance of power series evaluation by binary splitting. It follows…