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Rigorous Multiple-Precision Evaluation of D-Finite Functions in SageMath

Abstract

We present a new open source implementation in the SageMath computer algebra system of algorithms for the numerical solution of linear ODEs with polynomial coefficients. Our code supports regular singular connection problems and provides rigorous error bounds.
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Dates and versions

hal-01342769 , version 1 (06-07-2016)

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Public Domain

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Marc Mezzarobba. Rigorous Multiple-Precision Evaluation of D-Finite Functions in SageMath. 5th International Congress on Mathematical Software (ICMS~2016), Jul 2016, Berlin, Germany. ⟨hal-01342769⟩
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