TaylorModels

This package combines the IntervalArithmetic.jl and TaylorSeries.jl packages to provide Taylor models, i.e. Taylor polynomials with guaranteed error bounds to approximate functions.

An introduction is available in this video from JuliaCon 2018.

Authors

• Luis Benet, Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México (UNAM)
• David P. Sanders, Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México (UNAM)

Bibliography

• Kyoko Makino, Rigorous Analysis of Nonlinear Motion in Particle Accelerators, PhD Thesis, Michigan State University (1991).

• Mioara Joldes, Rigorous Polynomial Approximations and Applications, PhD Thesis, École Normale Supérieure de Lyon, ENS-Lyon (2011).

Acknowledgements

Financial support is acknowledged from DGAPA-UNAM PAPIIT grants IN-117117, IG-100616 and IG-100819. DPS acknowledges support through a Cátedra Marcos Moshinsky (2018).