ConservationLawsParticles
Particle methods for 1D conservation laws
https://github.com/federicostra/conservationlawsparticles.jl
Science Score: 67.0%
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✓DOI references
Found 8 DOI reference(s) in README -
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Links to: arxiv.org, springer.com -
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Low similarity (8.8%) to scientific vocabulary
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Particle methods for 1D conservation laws
Basic Info
Statistics
- Stars: 1
- Watchers: 1
- Forks: 0
- Open Issues: 8
- Releases: 12
Topics
Metadata Files
README.md
ConservationLawsParticles.jl
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Particle methods for 1D conservation laws.
This package implements the deterministic particle schemes described in the article
E. Radici, F. Stra: Entropy solutions of mildly singular non-local scalar conservation laws with congestion via deterministic particle method. SIAM Journal on Mathematical Analysis 55.3 (2023), pp. 2001-2041. DOI: https://doi.org/10.1137/21M1462994. arXiv: https://arxiv.org/abs/2107.10760.
You can cite the article as
bibtex
@article{Radici-Stra-2023,
author = {Radici, Emanuela and Stra, Federico},
title = {Entropy solutions of mildly singular nonlocal scalar conservation
laws with congestion via deterministic particle methods},
journal = {SIAM Journal on Mathematical Analysis},
volume = {55},
number = {3},
pages = {2001-2041},
year = {2023},
issn = {0036-1410, 1095-7154},
doi = {10.1137/21M1462994},
url = {https://epubs.siam.org/doi/10.1137/21M1462994},
eprint = {2107.10760},
eprinttype = {arxiv},
eprintclass = {math.AP},
keywords = {entropy solutions, nonlinear mobility, nonlocal interaction,
deterministic particle method, Lagrangian discretization,
numerical scheme},
addendum = {MSC: 35L65, 65M12, 65M75},
}
The convergence rate of the scheme is studied (among other results) in the follow-up article
bibtex
@article{Marconi-Radici-Stra-2024,
author = {Marconi, Elio and Radici, Emanuela and Stra, Federico},
title = {Stability of quasi-entropy solutions of non-local scalar
conservation laws},
journal = {Calculus of Variations and Partial Differential Equations},
volume = {64},
number = {3},
pages = {},
year = {2024},
date = {2024-11-16},
issn = {1432-0835},
doi = {10.1007/s00526-024-02848-9},
url = {https://link.springer.com/article/10.1007/s00526-024-02848-9},
eprint = {2211.02450},
eprinttype = {arxiv},
eprintclass = {math.AP},
keywords = {entropy solutions, conservation laws},
addendum = {MSC: 35L65, 65M12},
}
Please refer to the documentation for additional ways to cite this work.
Example
Particles trajectories and time evolution of the densities of two interacting species.
See the "Examples" section in the stable or dev documentation for more.
Owner
- Name: Federico Stra
- Login: FedericoStra
- Kind: user
- Location: Torino, Italy
- Company: Politecnico di Torino
- Repositories: 68
- Profile: https://github.com/FedericoStra
Researcher in Mathematics
Citation (CITATION.cff)
cff-version: 1.2.0
title: ConservationLawsParticles.jl
message: >-
If you use this software, please cite it using the
metadata from this file.
type: software
authors:
- given-names: Federico
family-names: Stra
email: stra.federico@gmail.com
affiliation: Politecnico di Torino
orcid: 'https://orcid.org/0000-0001-8151-1045'
identifiers:
- type: doi
value: 10.1137/21M1462994
description: >-
Entropy solutions of mildly singular nonlocal scalar
conservation laws with congestion via deterministic
particle methods
- type: doi
value: 10.1007/s00526-024-02848-9
description: >-
Stability of quasi-entropy solutions of non-local
scalar conservation laws
repository-code: >-
https://github.com/FedericoStra/ConservationLawsParticles.jl
url: >-
https://federicostra.github.io/ConservationLawsParticles.jl
abstract: >-
This package implements the deterministic particle schemes
to solve 1D conservation laws described in the article
"Entropy solutions of mildly singular nonlocal scalar
conservation laws with congestion via deterministic
particle methods", E. Radici, F. Stra, SIAM J. Math. Anal.
55.3 (2021),
https://epubs.siam.org/doi/10.1137/21M1462994,
https://arxiv.org/abs/2107.10760.
keywords:
- conservation laws
- differential equation
- numerical method
- deterministic particle scheme
- Lagrangian discretization
- mathematical analysis
- numerical analysis
license: MIT
GitHub Events
Total
- Create event: 4
- Commit comment event: 2
- Issues event: 6
- Release event: 1
- Delete event: 4
- Issue comment event: 3
- Push event: 53
- Pull request event: 3
Last Year
- Create event: 4
- Commit comment event: 2
- Issues event: 6
- Release event: 1
- Delete event: 4
- Issue comment event: 3
- Push event: 53
- Pull request event: 3
Committers
Last synced: 7 months ago
Top Committers
| Name | Commits | |
|---|---|---|
| Federico Stra | s****o@g****m | 179 |
| github-actions[bot] | 4****] | 2 |
| dependabot[bot] | 4****] | 1 |
Issues and Pull Requests
Last synced: 6 months ago
All Time
- Total issues: 12
- Total pull requests: 10
- Average time to close issues: about 2 months
- Average time to close pull requests: 2 months
- Total issue authors: 2
- Total pull request authors: 3
- Average comments per issue: 1.25
- Average comments per pull request: 0.3
- Merged pull requests: 5
- Bot issues: 0
- Bot pull requests: 8
Past Year
- Issues: 7
- Pull requests: 3
- Average time to close issues: 40 minutes
- Average time to close pull requests: 23 minutes
- Issue authors: 1
- Pull request authors: 2
- Average comments per issue: 0.0
- Average comments per pull request: 0.67
- Merged pull requests: 2
- Bot issues: 0
- Bot pull requests: 1
Top Authors
Issue Authors
- FedericoStra (11)
- JuliaTagBot (1)
Pull Request Authors
- github-actions[bot] (6)
- dependabot[bot] (3)
- FedericoStra (2)
Top Labels
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Packages
- Total packages: 1
- Total downloads: unknown
- Total dependent packages: 0
- Total dependent repositories: 0
- Total versions: 12
juliahub.com: ConservationLawsParticles
Particle methods for 1D conservation laws
- Documentation: https://docs.juliahub.com/General/ConservationLawsParticles/stable/
- License: MIT
-
Latest release: 0.8.5
published 11 months ago