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BSeries

Computing with B-series in Julia

https://github.com/ranocha/bseries.jl

Science Score: 67.0%

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    Low similarity (15.0%) to scientific vocabulary

Keywords

average-vector-field b-series backward-error-analysis energy-preservation hacktoberfest julia modified-equations modifying-integrators runge-kutta

Keywords from Contributors

interpretability hack meshing matrix-exponential pde numerics pinns primitives standardization projections
Last synced: 6 months ago · JSON representation ·

Repository

Computing with B-series in Julia

Basic Info
Statistics
  • Stars: 29
  • Watchers: 3
  • Forks: 8
  • Open Issues: 29
  • Releases: 67
Topics
average-vector-field b-series backward-error-analysis energy-preservation hacktoberfest julia modified-equations modifying-integrators runge-kutta
Created over 4 years ago · Last pushed 6 months ago
Metadata Files
Readme Contributing License Citation Security Zenodo

README.md

BSeries

Docs-stable Docs-dev Build Status Coveralls Codecov License: MIT DOI

A collection of functionality around B-series in Julia. See

  • Philippe Chartier, Ernst Hairer, Gilles Vilmart (2010) Algebraic Structures of B-series. Foundations of Computational Mathematics DOI: 10.1007/s10208-010-9065-1

API Documentation

The API of BSeries.jl is documented in the online documentation. Information on each function is available in their docstrings.

BSeries.jl re-exports everything from RootedTrees.jl. However, if you rely on functionality from that package, you should also include it explicitly in your project dependencies to track breaking changes, since the version numbers of RootedTrees.jl and BSeries.jl are not necessarily synchronized.

The main API of BSeries.jl consists of the following components.

  • B-series behave like AbstractDicts mapping RootedTrees to coefficients.
  • The B-series of time integration methods such as Runge-Kutta methods can be constructed by the function bseries.
  • Vector space operations (addition/subtraction and multiplication by scalars) are available.
  • The algebraic structures of the composition law and the substitution law are implemented via compose and substitute.
  • Backward error analysis can be performed via modified_equations and modifying_integrators.

Please consult the documentation or the docstrings for further information.

Please note that B-series analysis is most conveniently applied to the autonomous form of ordinary differential equations (ODEs). Thus, BSeries.jl and RootedTrees.jl usually assume that time integration methods give the same result, independent of whether an ODE is written in an autonomous or a non-autonomous form. For Runge-Kutta methods, this means that the usual row-sum assumption is used.

Referencing

If you use BSeries.jl for your research, please cite it using the bibtex entry bibtex @article{ketcheson2023computing, title={Computing with {B}-series}, author={Ketcheson, David I and Ranocha, Hendrik}, journal={ACM Transactions on Mathematical Software}, volume={49}, number={2}, year={2023}, month={06}, doi={10.1145/3573384}, eprint={2111.11680}, eprinttype={arXiv}, eprintclass={math.NA} } In addition, you can also refer to BSeries.jl directly as bibtex @misc{ranocha2021bseries, title={{BSeries.jl}: {C}omputing with {B}-series in {J}ulia}, author={Ranocha, Hendrik and Ketcheson, David I}, year={2021}, month={09}, howpublished={\url{https://github.com/ranocha/BSeries.jl}}, doi={10.5281/zenodo.5534602} }

License and contributing

This project is licensed under the MIT license (see LICENSE.md). Since it is an open-source project, we are very happy to accept contributions from the community. Please refer to CONTRIBUTING.md for more details.

Owner

  • Name: Hendrik Ranocha
  • Login: ranocha
  • Kind: user
  • Location: Hamburg, Germany
  • Company: University of Hamburg

Assistant Professor analyzing & developing numerical methods for differential equations, focusing on stability, mimetic properties & structure preservation

Citation (CITATION.bib) 

@article{ketcheson2023computing,
  title={Computing with {B}-series},
  author={Ketcheson, David I and Ranocha, Hendrik},
  journal={ACM Transactions on Mathematical Software},
  volume={49},
  number={2},
  year={2023},
  month={06},
  doi={10.1145/3573384},
  eprint={2111.11680},
  eprinttype={arXiv},
  eprintclass={math.NA}
}

@misc{ranocha2021bseries,
  title={{BSeries.jl}: {C}omputing with {B}-series in {J}ulia},
  author={Ranocha, Hendrik and Ketcheson, David I},
  year={2021},
  month={09},
  howpublished={\url{https://github.com/ranocha/BSeries.jl}},
  doi={10.5281/zenodo.5534602}
}

GitHub Events

Total
  • Create event: 32
  • Commit comment event: 6
  • Release event: 3
  • Watch event: 2
  • Delete event: 31
  • Issue comment event: 9
  • Push event: 103
  • Pull request event: 62
  • Pull request review event: 24
  • Fork event: 2
Last Year
  • Create event: 32
  • Commit comment event: 6
  • Release event: 3
  • Watch event: 2
  • Delete event: 31
  • Issue comment event: 9
  • Push event: 103
  • Pull request event: 62
  • Pull request review event: 24
  • Fork event: 2

Committers

Last synced: 7 months ago

All Time
  • Total Commits: 276
  • Total Committers: 7
  • Avg Commits per committer: 39.429
  • Development Distribution Score (DDS): 0.333
Past Year
  • Commits: 32
  • Committers: 5
  • Avg Commits per committer: 6.4
  • Development Distribution Score (DDS): 0.188
Top Committers
Name Email Commits
Hendrik Ranocha r****a 184
dependabot[bot] 4****] 71
github-actions[bot] 4****] 12
David Ketcheson d****h@g****m 4
CompatHelper Julia c****y@j****g 3
Sondar74 7****4 1
Gavin Goodship m****1@g****m 1
Committer Domains (Top 20 + Academic)
julialang.org: 1

Issues and Pull Requests

Last synced: 6 months ago

All Time
  • Total issues: 28
  • Total pull requests: 252
  • Average time to close issues: 21 days
  • Average time to close pull requests: 8 days
  • Total issue authors: 5
  • Total pull request authors: 6
  • Average comments per issue: 4.14
  • Average comments per pull request: 0.48
  • Merged pull requests: 200
  • Bot issues: 0
  • Bot pull requests: 143
Past Year
  • Issues: 0
  • Pull requests: 60
  • Average time to close issues: N/A
  • Average time to close pull requests: 2 days
  • Issue authors: 0
  • Pull request authors: 5
  • Average comments per issue: 0
  • Average comments per pull request: 0.12
  • Merged pull requests: 43
  • Bot issues: 0
  • Bot pull requests: 50
View more stats
Top Authors
Issue Authors
  • ranocha (16)
  • ketch (9)
  • sanahsuri (1)
  • stillyslalom (1)
  • JuliaTagBot (1)
Pull Request Authors
  • dependabot[bot] (123)
  • ranocha (95)
  • github-actions[bot] (61)
  • Sondar74 (8)
  • ketch (7)
  • goodship1 (4)
Top Labels
Issue Labels
enhancement (8) documentation (6) good first issue (2) bug (2) performance (2)
Pull Request Labels
dependencies (123) github_actions (16) documentation (10) bug (3) enhancement (1)

Packages

  • Total packages: 1
  • Total downloads: unknown
  • Total dependent packages: 0
  • Total dependent repositories: 0
  • Total versions: 67
juliahub.com: BSeries

Computing with B-series in Julia

  • Versions: 67
  • Dependent Packages: 0
  • Dependent Repositories: 0
Rankings
Dependent repos count: 9.9%
Stargazers count: 29.9%
Average: 33.1%
Dependent packages count: 38.9%
Forks count: 53.5%
Last synced: 6 months ago

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