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.
Installation
TaylorSeries can be installed from the REPL with Pkg.add("TaylorSeries").
Documentation
The documentation is available here. Some examples can also found in the examples directory.
License
TaylorSeries is licensed under the MIT "Expat" license.
Related packages
- 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 DGAPA-PAPIIT grant IG-101113. LB acknowledges support through a Cátedra Moshinsky (2013).
