NumGfun: a Package for Numerical and Analytic Computation with D-finite Functions

Marc Mezzarobba 1
1 ALGORITHMS - Algorithms
Inria Paris-Rocquencourt
Abstract : This article describes the implementation in the software package NumGfun of classical algorithms that operate on solutions of linear differential equations or recurrence relations with polynomial coefficients, including what seems to be the first general implementation of the fast high-precision numerical evaluation algorithms of Chudnovsky & Chudnovsky. In some cases, our descriptions contain improvements over existing algorithms. We also provide references to relevant ideas not currently used in NumGfun.
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https://hal.inria.fr/inria-00456983
Contributor : Marc Mezzarobba <>
Submitted on : Saturday, May 8, 2010 - 12:24:13 PM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM
Long-term archiving on : Thursday, September 23, 2010 - 12:47:09 PM

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Marc Mezzarobba. NumGfun: a Package for Numerical and Analytic Computation with D-finite Functions. ISSAC - International Symposium on Symbolic and Algebraic Computation, Jul 2010, Munich, Germany. pp.139-146, ⟨10.1145/1837934.1837965⟩. ⟨inria-00456983v2⟩

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