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https://github.com/PerezHz/TaylorIntegration.jl

ODE integration using Taylor's method, and more, in Julia
https://github.com/PerezHz/TaylorIntegration.jl

automatic-differentiation high-accuracy jet-transport julia lyapunov-spectrum ode-solver taylor-series

Last synced: 3 months ago
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ODE integration using Taylor's method, and more, in Julia

Host: GitHub
URL: https://github.com/PerezHz/TaylorIntegration.jl
Owner: PerezHz
License: other
Created: 2016-08-10T01:29:09.000Z (about 8 years ago)
Default Branch: main
Last Pushed: 2024-04-13T15:27:27.000Z (7 months ago)
Last Synced: 2024-04-14T04:11:25.354Z (7 months ago)
Topics: automatic-differentiation, high-accuracy, jet-transport, julia, lyapunov-spectrum, ode-solver, taylor-series
Language: Julia
Homepage:
Size: 322 MB
Stars: 112
Watchers: 5
Forks: 21
Open Issues: 9
Metadata Files:
- Readme: README.md
- License: LICENSE.md

Awesome Lists containing this project

awesome-sciml - PerezHz/TaylorIntegration.jl: ODE integration using Taylor's method, and more, in Julia

README

        # TaylorIntegration.jl

ODE integration using Taylor's method in [Julia](http://julialang.org).

Latest release:

[![version](https://juliahub.com/docs/General/TaylorIntegration/stable/version.svg)](https://juliahub.com/ui/Packages/General/TaylorIntegration)

PkgEval:

[![pkgeval](https://juliahub.com/docs/General/TaylorIntegration/stable/pkgeval.svg)](https://juliahub.com/ui/Packages/General/TaylorIntegration)

Build status:

[![Build status](https://github.com/PerezHz/TaylorIntegration.jl/workflows/CI/badge.svg)](https://github.com/PerezHz/TaylorIntegration.jl/actions)

Coverage:

[![Coverage Status](https://coveralls.io/repos/github/PerezHz/TaylorIntegration.jl/badge.svg?branch=main)](https://coveralls.io/github/PerezHz/TaylorIntegration.jl?branch=main) [![codecov](https://codecov.io/gh/PerezHz/TaylorIntegration.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/PerezHz/TaylorIntegration.jl)

Documentation:

[![](https://img.shields.io/badge/docs-latest-blue.svg)](https://PerezHz.github.io/TaylorIntegration.jl/latest) [![](https://img.shields.io/badge/docs-stable-blue.svg)](https://PerezHz.github.io/TaylorIntegration.jl/stable)

DOI (Zenodo):

[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.2562352.svg)](https://doi.org/10.5281/zenodo.2562352)

## Authors

- [Jorge A. Pérez](https://github.com/PerezHz),

Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México (UNAM)

- [Luis Benet](http://www.cicc.unam.mx/~benet/),

Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México (UNAM)

Comments, suggestions, contributions and improvements are welcome and appreciated.

## Examples

+ [x'=x^2](http://nbviewer.jupyter.org/github/PerezHz/TaylorIntegration.jl/blob/main/examples/x-dot-equals-x-squared.ipynb)

+ [Kepler problem](http://nbviewer.jupyter.org/github/PerezHz/TaylorIntegration.jl/blob/main/examples/Kepler-problem.ipynb)

+ [High-order polynomial approximations to special functions and integral transforms](http://nbviewer.jupyter.org/github/PerezHz/TaylorIntegration.jl/blob/main/examples/Polynomial-approx-special-functions-integral-transforms.ipynb)

+ [Damped, driven linear oscillator](http://nbviewer.jupyter.org/github/PerezHz/TaylorIntegration.jl/blob/main/examples/Damped-driven-linear-oscillator.ipynb)

+ [The Lyapunov spectrum of the Lorenz system](http://nbviewer.jupyter.org/github/PerezHz/TaylorIntegration.jl/blob/main/examples/Lorenz-Lyapunov-spectrum.ipynb)

+ TaylorIntegration @ JuliaCon 2017 [(slides)](http://nbviewer.jupyter.org/format/slides/github/PerezHz/TaylorIntegration.jl/blob/main/examples/JuliaCon2017/TaylorIntegration_JuliaCon.ipynb)

## License

`TaylorIntegration` is licensed under the [MIT "Expat" license](./LICENSE.md).

## Acknowledgments

We acknowledge financial support from DGAPA-PAPIIT grants IG-100616, IG-100819 and IG-101122.