TaylorSeries.jl

TaylorSeries.jl: Taylor expansions in one and several variables in Julia - Published in JOSS (2019)

https://github.com/juliadiff/taylorseries.jl

Science Score: 100.0%

This score indicates how likely this project is to be science-related based on various indicators:

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CITATION.cff file
Found CITATION.cff file
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codemeta.json file
Found codemeta.json file
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.zenodo.json file
Found .zenodo.json file
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DOI references
Found 5 DOI reference(s) in README and JOSS metadata
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Academic publication links
Links to: joss.theoj.org, zenodo.org
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1 of 29 committers (3.4%) from academic institutions
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JOSS paper metadata
Published in Journal of Open Source Software

Keywords

automatic-differentiation julia polynomials taylor-expansions

Keywords from Contributors

chaos physics dynamical-systems mathematics fluxes graphics the-human-brain attractor complexity delay-coordinates

Last synced: 4 months ago · JSON representation ·

Repository

Taylor polynomial expansions in one and several independent variables.

Basic Info

Host: GitHub
Owner: JuliaDiff
License: other
Language: Julia
Default Branch: master
Homepage:
Size: 5.29 MB

Statistics

Stars: 359
Watchers: 16
Forks: 52
Open Issues: 34
Releases: 68

Topics

automatic-differentiation julia polynomials taylor-expansions

Created almost 12 years ago · Last pushed 4 months ago

Metadata Files

Readme License Citation

TaylorSeries.jl

A Julia package for Taylor polynomial 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.

Examples

Taylor series in one variable ```julia julia> using TaylorSeries

julia> t = Taylor1(Float64, 5) 1.0 t + 𝒪(t⁶)

julia> exp(t) 1.0 + 1.0 t + 0.5 t² + 0.16666666666666666 t³ + 0.041666666666666664 t⁴ + 0.008333333333333333 t⁵ + 𝒪(t⁶)

julia> log(1 + t) 1.0 t - 0.5 t² + 0.3333333333333333 t³ - 0.25 t⁴ + 0.2 t⁵ + 𝒪(t⁶) Multivariate Taylor seriesjulia julia> x, y = set_variables("x y", order=2);

julia> exp(x + y) 1.0 + 1.0 x + 1.0 y + 0.5 x² + 1.0 x y + 0.5 y² + 𝒪(‖x‖³)

Differential and integral calculus on Taylor series:julia julia> x, y = set_variables("x y", order=4);

julia> p = x^3 + 2x^2 * y - 7x + 2 2.0 - 7.0 x + 1.0 x³ + 2.0 x² y + 𝒪(‖x‖⁵)

julia> ∇(p) 2-element Array{TaylorN{Float64},1}: - 7.0 + 3.0 x² + 4.0 x y + 𝒪(‖x‖⁵) 2.0 x² + 𝒪(‖x‖⁵)

julia> integrate(p, 1) 2.0 x - 3.5 x² + 0.25 x⁴ + 0.6666666666666666 x³ y + 𝒪(‖x‖⁵)

julia> integrate(p, 2) 2.0 y - 7.0 x y + 1.0 x³ y + 1.0 x² y² + 𝒪(‖x‖⁵) ```

For more details, please see the docs.

License

TaylorSeries is licensed under the MIT "Expat" license.

Installation

TaylorSeries can be installed simply with using Pkg; Pkg.add("TaylorSeries").

Contributing

There are many ways to contribute to this package:

Report an issue if you encounter some odd behavior, or if you have suggestions to improve the package.
Contribute with code addressing some open issues, that add new functionality or that improve the performance.
When contributing with code, add docstrings and comments, so others may understand the methods implemented.
Contribute by updating and improving the documentation.

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, IG-100616, IG-100819 and IG-101122. LB acknowledges support through a Cátedra Moshinsky (2013).

Owner

Name: JuliaDiff
Login: JuliaDiff
Kind: organization

Website: https://www.juliadiff.org/
Repositories: 24
Profile: https://github.com/JuliaDiff

Differentiation Tools in Julia

JOSS Publication

TaylorSeries.jl: Taylor expansions in one and several variables in Julia

Published

April 07, 2019

DOI

10.21105/joss.01043

Volume 4, Issue 36, Page 1043

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)

Editor

Jed Brown

Citation (CITATION.bib)

% This article is the paper on TaylorSeries.jl
@article{TaylorSeries.jl-2019,
  title = {{TaylorSeries}.jl: Taylor expansions in one and several variables in Julia},
  author = {Luis Benet and David P. Sanders},
  journal = {Journal of Open Source Software}
  doi = {10.21105/joss.01043},
  url = {https://doi.org/10.21105/joss.01043},
  year = {2019},
  month = apr,
  publisher = {The Open Journal},
  volume = {4},
  number = {36},
  pages = {1043},
}

% This is Zenodo's bibtex entry (all versions)
@misc{TaylorSeries.jl-zenodo,
  author       = {Luis Benet and David P. Sanders},
  title        = {JuliaDiff/TaylorSeries.jl},
  publisher    = {Zenodo},
  doi          = {10.5281/zenodo.2601941},
  url          = {https://doi.org/10.5281/zenodo.2601941}
}

GitHub Events

Total

Create event: 18
Commit comment event: 21
Release event: 9
Issues event: 11
Watch event: 12
Delete event: 6
Issue comment event: 44
Push event: 89
Pull request review event: 4
Pull request review comment event: 5
Pull request event: 22
Fork event: 1

Last Year

Create event: 18
Commit comment event: 21
Release event: 9
Issues event: 11
Watch event: 12
Delete event: 6
Issue comment event: 44
Push event: 89
Pull request review event: 4
Pull request review comment event: 5
Pull request event: 22
Fork event: 1

Committers

Last synced: 5 months ago

All Time

Total Commits: 457
Total Committers: 29
Avg Commits per committer: 15.759
Development Distribution Score (DDS): 0.545

Past Year

Commits: 11
Committers: 3
Avg Commits per committer: 3.667
Development Distribution Score (DDS): 0.182

Top Committers

Name	Email	Commits
Luis Benet	b**t@f**x	208
Luis Benet	l****t	139
David P. Sanders	d**s@g**m	37
Jorge Pérez	P****z	23
Blas Kolic	b**c@c**x	15
KronosTheLate	6****e	4
Paweł Biernat	p**b@g**m	4
Daniel Karrasch	d**h@p**e	3
Jed Brown	j**d@j**g	3
Marcelo Forets	m**s@g**m	2
Uziel Linares	u**z@g**m	1
Alexander Seiler	s**x@g**m	1
Charles Kawczynski	c**i@g**m	1
Christian Schilling	c**g@u**e	1
Gabriele Bozzola	s**r@g**m	1
Guillermo A. Perez	g**4@g**m	1
Joseph Wilson	j**w@g**m	1
Julia TagBot	5****t	1
LuEdRaMo	7****o	1
Mason Protter	m**r@g**m	1
Morten Piibeleht	m**t@g**m	1
Navid C. Constantinou	n****y	1
Richard Mikael Slevinsky	R**y@u**a	1
Tony Kelman	t**y@k**t	1
Viral B. Shah	V****h	1
adamnemecek	a**k@g**m	1
dapias	d**s@g**m	1
matthieubulte	m**6@g**m	1
patkwee	p****e	1

Committer Domains (Top 20 + Academic)

kelman.net: 1 umanitoba.ca: 1 uni-konstanz.de: 1 jedbrown.org: 1 posteo.de: 1 ciencias.unam.mx: 1 fis.unam.mx: 1

Issues and Pull Requests

Last synced: 4 months ago

All Time

Total issues: 67
Total pull requests: 105
Average time to close issues: 9 months
Average time to close pull requests: 5 months
Total issue authors: 37
Total pull request authors: 23
Average comments per issue: 5.96
Average comments per pull request: 4.75
Merged pull requests: 96
Bot issues: 0
Bot pull requests: 0

Past Year

Issues: 5
Pull requests: 16
Average time to close issues: 5 days
Average time to close pull requests: 4 days
Issue authors: 5
Pull request authors: 3
Average comments per issue: 3.4
Average comments per pull request: 0.5
Merged pull requests: 16
Bot issues: 0
Bot pull requests: 0

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Top Authors

Issue Authors

lbenet (9)
PerezHz (5)
dpsanders (5)
Li-shiyue (4)
lrnv (2)
matthieubulte (2)
patkwee (2)
qwertyjl (2)
rcalxrc08 (2)
SebastianAment (2)
dlfivefifty (2)
KronosTheLate (2)
baggepinnen (2)
mongibellili (2)
evolbeginner (1)

Pull Request Authors

lbenet (66)
PerezHz (28)
KronosTheLate (4)
LuEdRaMo (3)
dkarrasch (3)
mohamed82008 (2)
blas-ko (2)
adamnemecek (2)
dpsanders (2)
gaperez64 (2)
ranocha (1)
Sbozzolo (1)
ViralBShah (1)
goggle (1)
navidcy (1)

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Packages

Total packages: 1
Total downloads:
- julia 621 total

Total dependent packages: 21
Total dependent repositories: 0
Total versions: 60

juliahub.com: TaylorSeries

Taylor polynomial expansions in one and several independent variables.

Documentation: https://docs.juliahub.com/General/TaylorSeries/stable/
License: MIT
Latest release: 0.20.4
published 5 months ago

Versions: 60
Dependent Packages: 21
Dependent Repositories: 0
Downloads: 621 Total

Rankings

Stargazers count: 2.6%

Forks count: 3.0%

Dependent packages count: 3.6%

Average: 4.8%

Dependent repos count: 10.1%

Last synced: 4 months ago

Dependencies

.github/workflows/TagBot.yml actions

JuliaRegistries/TagBot v1 composite

.github/workflows/ci.yml actions

actions/cache v1 composite
actions/checkout v2 composite
coverallsapp/github-action master composite
julia-actions/julia-buildpkg v1 composite
julia-actions/julia-processcoverage v1 composite
julia-actions/julia-runtest v1 composite
julia-actions/setup-julia v1 composite

.github/workflows/docs.yml actions

actions/checkout v2 composite
julia-actions/setup-julia latest composite

TaylorSeries.jl

Science Score: 100.0%

Keywords

Keywords from Contributors

Repository

Basic Info

Statistics

Topics

Metadata Files

README.md

TaylorSeries.jl

Authors

Examples

License

Installation

Contributing

References

Acknowledgments

Owner

JOSS Publication

TaylorSeries.jl: Taylor expansions in one and several variables in Julia

Authors

Editor

Tags

Citation (CITATION.bib)

GitHub Events

Total

Last Year

Committers

All Time

Past Year

Top Committers

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juliahub.com: TaylorSeries

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