QuadGK

adaptive 1d numerical Gauss–Kronrod integration in Julia

https://github.com/juliamath/quadgk.jl

Science Score: 54.0%

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

  • CITATION.cff file
    Found CITATION.cff file
  • codemeta.json file
    Found codemeta.json file
  • .zenodo.json file
    Found .zenodo.json file
  • DOI references
  • Academic publication links
  • Committers with academic emails
    4 of 28 committers (14.3%) from academic institutions
  • Institutional organization owner
  • JOSS paper metadata
  • Scientific vocabulary similarity
    Low similarity (7.9%) to scientific vocabulary

Keywords

integration julia math numerical-integration quadrature

Keywords from Contributors

julialang fft programming-language numerical mkl fftw bindings nonlinear-programming differential-equations automatic-differentiation
Last synced: 4 months ago · JSON representation ·

Repository

adaptive 1d numerical Gauss–Kronrod integration in Julia

Basic Info
  • Host: GitHub
  • Owner: JuliaMath
  • License: mit
  • Language: Julia
  • Default Branch: master
  • Homepage:
  • Size: 766 KB
Statistics
  • Stars: 295
  • Watchers: 8
  • Forks: 38
  • Open Issues: 14
  • Releases: 37
Topics
integration julia math numerical-integration quadrature
Created about 9 years ago · Last pushed 5 months ago
Metadata Files
Readme Funding License Citation

README.md

QuadGK.jl

Coverage Status

Documentation:

This package provides support for one-dimensional numerical integration in Julia using adaptive Gauss-Kronrod quadrature. The code was originally part of Base Julia. It supports integration of arbitrary numeric types, including arbitrary precision (BigFloat), and even integration of arbitrary normed vector spaces (e.g. matrix-valued integrands).

The package provides three basic functions: quadgk, gauss, and kronrod. quadgk performs the integration, gauss computes Gaussian quadrature points and weights for integrating over the interval [a, b], and kronrod computes Kronrod points, weights, and embedded Gaussian quadrature weights for integrating over [-1, 1]. Typical usage looks like: jl using QuadGK integral, err = quadgk(x -> exp(-x^2), 0, 1, rtol=1e-8) which computes the integral of exp(–x²) from x=0 to x=1 to a relative tolerance of 10⁻⁸, and returns the approximate integral = 0.746824132812427 and error estimate err = 7.887024366937112e-13 (which is actually smaller than the requested tolerance: convergence was very rapid because the integrand is smooth).

For more information, see the documentation.

Owner

  • Name: Julia Math
  • Login: JuliaMath
  • Kind: organization

Mathematics made easy in Julia

Citation (CITATION.bib)

@misc{quadgk,
  title = {{QuadGK.jl}: {G}auss--{K}ronrod integration in {J}ulia},
  author = {Steven G. Johnson},
  year = {2013},
  howpublished = {\url{https://github.com/JuliaMath/QuadGK.jl}}
}

GitHub Events

Total
  • Create event: 2
  • Commit comment event: 2
  • Release event: 1
  • Issues event: 3
  • Watch event: 23
  • Delete event: 1
  • Issue comment event: 16
  • Push event: 10
  • Pull request review event: 1
  • Pull request event: 5
  • Fork event: 2
Last Year
  • Create event: 2
  • Commit comment event: 2
  • Release event: 1
  • Issues event: 3
  • Watch event: 23
  • Delete event: 1
  • Issue comment event: 16
  • Push event: 10
  • Pull request review event: 1
  • Pull request event: 5
  • Fork event: 2

Committers

Last synced: almost 3 years ago

All Time
  • Total Commits: 128
  • Total Committers: 28
  • Avg Commits per committer: 4.571
  • Development Distribution Score (DDS): 0.555
Top Committers
Name Email Commits
Steven G. Johnson s****j@m****u 57
Steven G. Johnson s****j@a****u 17
Alex Arslan a****n@c****t 17
Jeff Bezanson j****n@g****m 3
Fredrik Ekre e****k@g****m 3
Stefan Karpinski s****n@k****g 3
Tony Kelman t****y@k****t 3
Carlo Baldassi c****i@g****m 2
Andrew Keller a****9@g****m 2
Mosè Giordano g****o@u****m 2
Tim Holy t****y@g****m 2
Hendrik Ranocha r****a@u****m 1
Haroun Meghaichi 8****h@u****m 1
Jae-Mo Lihm j****6@g****m 1
Huo Chen n****a@h****m 1
Daan Huybrechs d****s@c****e 1
Katharine Hyatt k****t@p****u 1
Frankie Robertson f****r@u****m 1
Christopher Rackauckas a****s@c****m 1
Julia TagBot 5****t@u****m 1
Morten Piibeleht m****t@g****m 1
Viral B. Shah v****l@j****m 1
Mosè Giordano m****e@g****g 1
Jake Bolewski j****i@g****m 1
Yichao Yu y****2@g****m 1
Rogerluo h****r@q****m 1
Patrick Kofod Mogensen p****n@g****m 1
Fredrik Ekre f****e@c****e 1

Issues and Pull Requests

Last synced: 4 months ago

All Time
  • Total issues: 49
  • Total pull requests: 78
  • Average time to close issues: 6 months
  • Average time to close pull requests: about 1 month
  • Total issue authors: 37
  • Total pull request authors: 29
  • Average comments per issue: 3.47
  • Average comments per pull request: 2.26
  • Merged pull requests: 69
  • Bot issues: 0
  • Bot pull requests: 10
Past Year
  • Issues: 5
  • Pull requests: 7
  • Average time to close issues: about 15 hours
  • Average time to close pull requests: about 4 hours
  • Issue authors: 5
  • Pull request authors: 5
  • Average comments per issue: 3.6
  • Average comments per pull request: 3.43
  • Merged pull requests: 5
  • Bot issues: 0
  • Bot pull requests: 1
Top Authors
Issue Authors
  • stevengj (5)
  • mikeingold (2)
  • MasonProtter (2)
  • danielwe (2)
  • nhavt (2)
  • unary-code (2)
  • matbesancon (2)
  • aaabdulhaq (2)
  • tbeason (2)
  • atrophiedbrain (1)
  • urgomo (1)
  • dominikkiese (1)
  • ararslan (1)
  • ZhangFengshun (1)
  • BeastyBlacksmith (1)
Pull Request Authors
  • stevengj (34)
  • dependabot[bot] (14)
  • wsmoses (6)
  • giordano (5)
  • ararslan (5)
  • ranocha (3)
  • lxvm (3)
  • github-actions[bot] (2)
  • frankier (2)
  • fredrikekre (2)
  • abhro (2)
  • danielwe (1)
  • Hmegh (1)
  • fmeirinhos (1)
  • matbesancon (1)
Top Labels
Issue Labels
bug (6) question (2)
Pull Request Labels
dependencies (14) enhancement (5) bug (2)

Packages

  • Total packages: 1
  • Total downloads:
    • julia 19,186 total
  • Total dependent packages: 158
  • Total dependent repositories: 71
  • Total versions: 30
juliahub.com: QuadGK

adaptive 1d numerical Gauss–Kronrod integration in Julia

  • Versions: 30
  • Dependent Packages: 158
  • Dependent Repositories: 71
  • Downloads: 19,186 Total
Rankings
Dependent packages count: 0.5%
Dependent repos count: 0.6%
Average: 2.2%
Stargazers count: 3.6%
Forks count: 4.2%
Last synced: 5 months ago

Dependencies

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