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 small improvements over existing algorithms. We also provide references to relevant ideas not currently used in NumGfun.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.inria.fr/inria-00456983
Contributor : Marc Mezzarobba <>
Submitted on : Tuesday, February 16, 2010 - 11:38:12 AM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM
Long-term archiving on : Friday, June 18, 2010 - 9:03:05 PM

Files

NumGfun.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00456983, version 1
  • ARXIV : 1002.3077

Citation

Marc Mezzarobba. NumGfun: a Package for Numerical and Analytic Computation with D-finite Functions. 2010. ⟨inria-00456983v1⟩

Share

Metrics

Record views

23

Files downloads

122