HOODESolver.jl

HOODESolver.jl: A Julia package for highly oscillatory problems - Published in JOSS (2021)

https://github.com/pnavaro/HOODESolver.jl

Science Score: 64.0%

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Links to: joss.theoj.org
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1 of 9 committers (11.1%) from academic institutions
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Low similarity (14.5%) to scientific vocabulary

Keywords

adams-bashforth-methods fft high-oscillatory julia ode-solver

Keywords from Contributors

meshing pde ode geometry standardization interpretability sobol-method dynamical-systems julialang sensitivity-analysis

Last synced: 6 months ago · JSON representation ·

Repository

High Oscillatory Ordinary Differential Equation Solver in Julia

Basic Info

Host: GitHub
Owner: pnavaro
License: mit
Language: Julia
Default Branch: master
Homepage: https://pnavaro.github.io/HOODESolver.jl/dev
Size: 7.64 MB

Statistics

Stars: 17
Watchers: 3
Forks: 4
Open Issues: 1
Releases: 9

Topics

adams-bashforth-methods fft high-oscillatory julia ode-solver

Created about 5 years ago · Last pushed about 1 year ago

Metadata Files

Readme License Citation

README.md

HOODESolver.jl

A Julia package for solving numerically highly-oscillatory ODE problems

This Julia package implements Uniformly Accurate numerical methods (UA) for highly oscillating problems. We propose to solve the following equation:

$$\frac{d u(t)}{dt} = \frac{1}{\varepsilon} A u(t) + f(t, u(t)), \qquad u(t=t{start})=u{in}, \qquad \varepsilon \in ]0, 1],$$

with

$u : t \in [t{start}, t{end}] \mapsto u(t) \in \mathbb{R}^n, t{start}, t{end} \in \mathbb{R}, \qquad u_{in}\in \mathbb{R}^n$,

$A\in {\mathcal{M}}_{n,n}(\mathbb{R})\quad$ is such that $\quad \tau \mapsto e^{\tau A}\quad$ is $2 \pi$-periodic, $\quad f : (t, u) \in \mathbb{R} \times \mathbb{R}^n \mapsto \mathbb{R}^n$.

Installation

HOODESolver.jl is a registered package and can be installed using the Julia package manager. From the Julia REPL, enter Pkg mode (by pressing ])

julia julia>] (@v1.5) pkg> add HOODESolver

Usage

The following is an example with the system of Hénon-Heiles. Please see the documentation for further usage, tutorials, and api reference.

```julia using HOODESolver using Plots

epsilon= 0.0001

A = [ 0 0 1 0 ; 0 0 0 0 ; -1 0 0 0 ; 0 0 0 0 ]

f1 = LinearHOODEOperator( epsilon, A)

f2 = (u,p,t) -> [ 0, u[4], 2u[1]u[2], -u[2] - u[1]^2 + u[2]^2 ]

tspan = (0.0, 3.0)

u0 = [0.55, 0.12, 0.03, 0.89] prob = SplitODEProblem(f1, f2, u0, tspan) ```

solve the defined problem

julia sol = solve(prob, HOODEAB()) plot(sol)

For support with using HOODESolver.jl, please open an issue describing the problem and steps to reproduce it.

How to Contribute

Here's an outline of the workflow you should use if you want to make contributions to this package.

Fork this repository
Make a new branch on your fork, named after whatever changes you'll be making
Apply your code changes to the branch on your fork
When you're done, submit a PR to HOODESolver.jl to merge your fork into master branch.

This package is licensed under the MIT Expat license. See LICENSE for more information.

Owner

Name: Pierre Navaro
Login: pnavaro
Kind: user
Location: Rennes
Company: CNRS

Website: https://perso.univ-rennes1.fr/pierre.navaro/
Repositories: 14
Profile: https://github.com/pnavaro

Scientific Software Engineer, Institut de Recherche Mathématique de Rennes, France.

Citation (CITATION.bib)

@article{Mocquard2021,
  doi = {10.21105/joss.03077},
  url = {https://doi.org/10.21105/joss.03077},
  year = {2021},
  publisher = {The Open Journal},
  volume = {6},
  number = {61},
  pages = {3077},
  author = {Yves Mocquard and Pierre Navaro and Nicolas Crouseilles},
  title = {HOODESolver.jl: A Julia package for highly oscillatory problems},
  journal = {Journal of Open Source Software}
}

GitHub Events

Total

Issue comment event: 1
Pull request event: 1

Last Year

Issue comment event: 1
Pull request event: 1

Committers

Last synced: 7 months ago

All Time

Total Commits: 645
Total Committers: 9
Avg Commits per committer: 71.667
Development Distribution Score (DDS): 0.391

Past Year

Commits: 9
Committers: 1
Avg Commits per committer: 9.0
Development Distribution Score (DDS): 0.0

Top Committers

Name	Email	Commits
Yves Mocquard	y**d@i**r	393
Pierre Navaro	n**o@m**r	218
Pierre NAVARO	p**o@i**r	12
CompatHelper Julia	c**y@j**g	7
dependabot[bot]	4****]	4
crouseilles	6****s	4
github-actions[bot]	4****]	3
Christopher Rackauckas	a**s@c**m	3
Vissarion Fisikopoulos	f**p@g**m	1

Committer Domains (Top 20 + Academic)

irisa.fr: 2 chrisrackauckas.com: 1 julialang.org: 1 math.cnrs.fr: 1

Issues and Pull Requests

Last synced: 6 months ago

All Time

Total issues: 7
Total pull requests: 23
Average time to close issues: 25 days
Average time to close pull requests: about 7 hours
Total issue authors: 4
Total pull request authors: 6
Average comments per issue: 6.14
Average comments per pull request: 1.17
Merged pull requests: 21
Bot issues: 0
Bot pull requests: 15

Past Year

Issues: 0
Pull requests: 10
Average time to close issues: N/A
Average time to close pull requests: about 2 hours
Issue authors: 0
Pull request authors: 3
Average comments per issue: 0
Average comments per pull request: 1.4
Merged pull requests: 9
Bot issues: 0
Bot pull requests: 9

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Top Authors

Issue Authors

ranocha (3)
HaoZeke (2)
pnavaro (1)
JuliaTagBot (1)

Pull Request Authors

github-actions[bot] (13)
dependabot[bot] (10)
crouseilles (4)
pnavaro (3)
ChrisRackauckas (1)
vissarion (1)

Top Labels

Issue Labels

documentation (2)

Pull Request Labels

Packages

Total packages: 1
Total downloads:
- julia 1 total

Total dependent packages: 0
Total dependent repositories: 0
Total versions: 11

juliahub.com: HOODESolver

High Oscillatory Ordinary Differential Equation Solver in Julia

Homepage: https://pnavaro.github.io/HOODESolver.jl/dev
Documentation: https://docs.juliahub.com/General/HOODESolver/stable/
License: MIT
Latest release: 0.2.8
published over 1 year ago

Versions: 11
Dependent Packages: 0
Dependent Repositories: 0
Downloads: 1 Total

Rankings

Dependent repos count: 9.9%

Average: 24.4%

Dependent packages count: 38.9%

Last synced: 6 months ago

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