blas-ko / TaylorSeries.jl

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

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)

Comments, suggestions and improvements are welcome and appreciated.

License

TaylorSeries is licensed under the MIT "Expat" license.

Installation

TaylorSeries can be installed using Pkg.add("TaylorSeries").

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 DGAPA-PAPIIT grants IG-101113 and IG-100616. LB acknowledges support through a Cátedra Moshinsky (2013).