TaylorSeries.jl¶

A Julia package for Taylor expansions in one or more independent variables.

Authors¶

Luis Benet, Instituto de Ciencias Físicas,

Universidad Nacional Autónoma de México (UNAM)

David P. Sanders, Facultad de Ciencias,

Universidad Nacional Autónoma de México (UNAM)

License¶

TaylorSeries is licensed under the MIT "Expat" license; see LICENSE for the full license text.

Installation¶

TaylorSeries.jl is a registered package, and is simply installed by running

julia> Pkg.add("TaylorSeries")

Polynomials.jl: Polynomial

manipulations

PowerSeries.jl: Truncated

power series for Julia

MultiPoly.jl Sparse

multivariate polynomials in Julia

References¶

W. Tucker, *Validated Numerics: A Short Introduction to Rigorous

Computations*, Princeton University Press (2011).

A. Haro, *Automatic differentiation methods in computational dynamical

systems: Invariant manifolds and normal forms of vector fields at fixed points*, preprint.

Acknowledgments¶

This project began (using Python) during a Masters' course in the postgraduate programs in Physics and in Mathematics at UNAM, during the second half of 2013. We thank the participants of the course for putting up with the half-baked material and contributing energy and ideas.

We acknowledge financial support from DGAPA-UNAM PAPIME grants PE-105911 and PE-107114, and PAPIIT grant IG-101113. LB acknowledges support through a Cátedra Moshinsky (2013).