×

NumGfun

swMATH ID: 6716
Software Authors: Mezzarobba, Marc
Description: 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.
Homepage: http://dl.acm.org/citation.cfm?id=1837965
Dependencies: Maple; Gfun
Keywords: D-finite functions; Gfun
Related Software: SageMath; gfun; Maple; DLMF; ore_algebra; MPFR; Arb; Mathematica; Matlab; TIDES; mctoolbox; DEtools; GeneratingFunctions; DDMF; NeuralPDE.jl; Ode15s; ode23s; ode113; ode45; ode23
Cited in: 17 Documents

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
NumGfun: a package for numerical and analytic computation with D-finite functions. Zbl 1321.65202
Mezzarobba, Marc
2010
all top 5

Cited by 33 Authors

3 Mezzarobba, Marc
3 Salvy, Bruno
2 Corless, Robert Malcolm
2 Kauers, Manuel
2 Lairez, Pierre
2 Melczer, Stephen
1 Baryshnikov, Yuliy M.
1 Benoit, Alexandre
1 Boldo, Sylvie
1 Bostan, Alin
1 Brimacombe, Chris
1 Burr, Michael A.
1 Chyzak, Frédéric
1 Darrasse, Alexis
1 Gerhold, Stefan
1 Guttmann, Anthony John
1 Huang, Hui
1 Jeannerod, Claude-Pierre
1 Johansson, Fredrik
1 Koutschan, Christoph
1 Lee, Kisun
1 Leykin, Anton
1 Maillard, Jean-Marie
1 Melquiond, Guillaume
1 Muller, Jean-Michel
1 Pemantle, Robin
1 Pichon-Pharabod, Eric
1 Price, Andrew Elvey
1 Ramis, Jean-Pierre
1 Sertöz, Emre Can
1 Vanhove, Pierre
1 Verron, Thibaut
1 Zamir, Mair
all top 5

Cited in 12 Serials

1 Mathematics of Computation
1 ACM Transactions on Mathematical Software
1 Journal of Symbolic Computation
1 Numerical Algorithms
1 SIAM Review
1 The Electronic Journal of Combinatorics
1 Annals of Combinatorics
1 Foundations of Computational Mathematics
1 Acta Numerica
1 International Journal of Number Theory
1 SIAM Journal on Applied Algebra and Geometry
1 Annales Henri Lebesgue
all top 5

Cited in 11 Fields

8 Numerical analysis (65-XX)
7 Computer science (68-XX)
6 Special functions (33-XX)
4 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Ordinary differential equations (34-XX)
2 Combinatorics (05-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year