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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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https://hal.archives-ouvertes.fr/hal-01342769
Contributor : Marc Mezzarobba <>
Submitted on : Wednesday, July 6, 2016 - 4:32:27 PM
Last modification on : Friday, January 8, 2021 - 5:40:03 PM
Long-term archiving on: : Friday, October 7, 2016 - 1:55:39 PM

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  • HAL Id : hal-01342769, version 1
  • ARXIV : 1607.01967

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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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