NumGfun
NumGfun: a package for numerical and analytic computation with D-finite functions. 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 and Chudnovsky. In some cases, our descriptions contain small improvements over existing algorithms. We also provide references to relevant ideas not currently used in NumGfun.
This software is also peer reviewed by journal TOMS.
This software is also peer reviewed by journal TOMS.
Keywords for this software
References in zbMATH (referenced in 11 articles , 1 standard article )
Showing results 1 to 11 of 11.
Sorted by year (- Melczer, Stephen; Salvy, Bruno: Effective coefficient asymptotics of multivariate rational functions via semi-numerical algorithms for polynomial systems (2021)
- Bostan, Alin; Price, Andrew Elvey; Guttmann, Anthony John; Maillard, Jean-Marie: Stieltjes moment sequences for pattern-avoiding permutations (2020)
- Burr, Michael; Lee, Kisun; Leykin, Anton: Effective certification of approximate solutions to systems of equations involving analytic functions (2019)
- Johansson, Fredrik: Computing hypergeometric functions rigorously (2019)
- Lairez, Pierre; Sertöz, Emre Can: A numerical transcendental method in algebraic geometry: computation of Picard groups and related invariants (2019)
- Mezzarobba, Marc: Truncation bounds for differentially finite series (2019)
- Salvy, Bruno: Linear differential equations as a data structure (2019)
- Huang, Hui; Kauers, Manuel: D-finite numbers (2018)
- Benoit, Alexandre; Chyzak, Frédéric; Darrasse, Alexis; Gerhold, Stefan; Mezzarobba, Marc; Salvy, Bruno: The dynamic dictionary of mathematical functions (DDMF) (2010)
- Mezzarobba, Marc: NumGfun: a package for numerical and analytic computation with D-finite functions (2010)
- Mezzarobba, Marc: Numgfun: a package for numerical and analytic computation with D-finite functions (2010) ioport