DelayDiffEq

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

https://github.com/sciml/delaydiffeq.jl

Science Score: 67.0%

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Low similarity (14.7%) to scientific vocabulary

Keywords

adaptive dde delay-differential-equations differential-equations differentialequations julia ode scientific-machine-learning sciml solvers stiff

Keywords from Contributors

sde pde ordinary-differential-equations stochastic-differential-equations dae differential-algebraic-equations neural-differential-equations neural-ode partial-differential-equations matrix-exponential

Last synced: 6 months ago · JSON representation ·

Repository

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Basic Info

Host: GitHub
Owner: SciML
License: other
Language: Julia
Default Branch: master
Homepage:
Size: 1.47 MB

Statistics

Stars: 61
Watchers: 11
Forks: 28
Open Issues: 24
Releases: 163

Topics

adaptive dde delay-differential-equations differential-equations differentialequations julia ode scientific-machine-learning sciml solvers stiff

Created about 9 years ago · Last pushed 6 months ago

Metadata Files

Readme License Citation

README.md

DelayDiffEq.jl

DelayDiffEq.jl is a component package in the DifferentialEquations ecosystem. It holds the delay differential equation solvers and utilities. It is built on top of OrdinaryDiffEq to extend those solvers for delay differential equations. While completely independent and usable on its own, users interested in using this functionality should check out DifferentialEquations.jl.

API

DelayDiffEq.jl is part of the JuliaDiffEq common interface, but can be used independently of DifferentialEquations.jl. The only requirement is that the user passes a DelayDiffEq.jl algorithm to solve. For example, we can solve the DDE tutorial from the documentation using the MethodOfSteps(Tsit5()) algorithm:

julia using DelayDiffEq const p0 = 0.2; const q0 = 0.3; const v0 = 1; const d0 = 5 const p1 = 0.2; const q1 = 0.3; const v1 = 1; const d1 = 1 const d2 = 1; const beta0 = 1; const beta1 = 1; const tau = 1 function bc_model(du,u,h,p,t) du[1] = (v0/(1+beta0*(h(p, t-tau)[3]^2))) * (p0 - q0)*u[1] - d0*u[1] du[2] = (v0/(1+beta0*(h(p, t-tau)[3]^2))) * (1 - p0 + q0)*u[1] + (v1/(1+beta1*(h(p, t-tau)[3]^2))) * (p1 - q1)*u[2] - d1*u[2] du[3] = (v1/(1+beta1*(h(p, t-tau)[3]^2))) * (1 - p1 + q1)*u[2] - d2*u[3] end lags = [tau] h(p, t) = ones(3) tspan = (0.0,10.0) u0 = [1.0,1.0,1.0] prob = DDEProblem(bc_model,u0,h,tspan,constant_lags = lags) alg = MethodOfSteps(Tsit5()) sol = solve(prob,alg) using Plots; plot(sol)

Both constant and state-dependent lags are supported. Interfacing with OrdinaryDiffEq.jl for implicit methods for stiff equations is also supported.

Available Solvers

For the list of available solvers, please refer to the DifferentialEquations.jl DDE Solvers page. For options for the solve command, see the common solver options page.

Citing

If you use DelayDiffEq.jl in your work, please cite the following:

```bib @article{DifferentialEquations.jl-2017, author = {Rackauckas, Christopher and Nie, Qing}, doi = {10.5334/jors.151}, journal = {The Journal of Open Research Software}, keywords = {Applied Mathematics}, note = {Exported from https://app.dimensions.ai on 2019/05/05}, number = {1}, pages = {}, title = {DifferentialEquations.jl – A Performant and Feature-Rich Ecosystem for Solving Differential Equations in Julia}, url = {https://app.dimensions.ai/details/publication/pub.1085583166 and http://openresearchsoftware.metajnl.com/articles/10.5334/jors.151/galley/245/download/}, volume = {5}, year = {2017} }

@article{widmann2022delaydiffeq, title={DelayDiffEq: Generating Delay Differential Equation Solvers via Recursive Embedding of Ordinary Differential Equation Solvers}, author={Widmann, David and Rackauckas, Chris}, journal={arXiv preprint arXiv:2208.12879}, year={2022} } ```

Owner

Name: SciML Open Source Scientific Machine Learning
Login: SciML
Kind: organization
Email: contact@chrisrackauckas.com

Website: https://sciml.ai
Twitter: SciML_Org
Repositories: 170
Profile: https://github.com/SciML

Open source software for scientific machine learning

Citation (CITATION.bib)

@article{DifferentialEquations.jl-2017,
 author = {Rackauckas, Christopher and Nie, Qing},
 doi = {10.5334/jors.151},
 journal = {The Journal of Open Research Software},
 keywords = {Applied Mathematics},
 note = {Exported from https://app.dimensions.ai on 2019/05/05},
 number = {1},
 pages = {},
 title = {DifferentialEquations.jl – A Performant and Feature-Rich Ecosystem for Solving Differential Equations in Julia},
 url = {https://app.dimensions.ai/details/publication/pub.1085583166 and http://openresearchsoftware.metajnl.com/articles/10.5334/jors.151/galley/245/download/},
 volume = {5},
 year = {2017}
}

@article{widmann2022delaydiffeq,
  title={DelayDiffEq: Generating Delay Differential Equation Solvers via Recursive Embedding of Ordinary Differential Equation Solvers},
  author={Widmann, David and Rackauckas, Chris},
  journal={arXiv preprint arXiv:2208.12879},
  year={2022}
}

GitHub Events

Total

Create event: 24
Commit comment event: 2
Issues event: 4
Release event: 9
Watch event: 2
Delete event: 17
Issue comment event: 56
Push event: 64
Pull request review event: 10
Pull request review comment event: 4
Pull request event: 64
Fork event: 3

Last Year

Create event: 24
Commit comment event: 2
Issues event: 4
Release event: 9
Watch event: 2
Delete event: 17
Issue comment event: 56
Push event: 64
Pull request review event: 10
Pull request review comment event: 4
Pull request event: 64
Fork event: 3

Committers

Last synced: 8 months ago

All Time

Total Commits: 686
Total Committers: 27
Avg Commits per committer: 25.407
Development Distribution Score (DDS): 0.523

Past Year

Commits: 48
Committers: 6
Avg Commits per committer: 8.0
Development Distribution Score (DDS): 0.563

Top Committers

Name	Email	Commits
Christopher Rackauckas	a**s@c**m	327
David Widmann	d**b@d**e	263
Yingbo Ma	m**5@g**m	22
jClugstor	j**n@g**m	14
Kanav Gupta	k**0@g**m	9
Aayush Sabharwal	a**l@g**m	8
dependabot[bot]	4****]	7
CompatHelper Julia	c**y@j**g	4
github-actions[bot]	4****]	4
oscarddssmith	o**h@j**m	4
Hendrik Ranocha	m**l@r**e	4
Anant Thazhemadam	a**m@g**m	2
Avik Pal	a**l@m**u	2
Lilith Orion Hafner	l**r@g**m	2
Pepijn de Vos	p**s@g**m	2
femtocleaner[bot]	f****]	1
Will Dey	w**y@c**u	1
Vaibhav Kumar Dixit	v**t@g**m	1
Takafumi Arakaki	a**f@g**m	1
ScottPJones	s**s@a**u	1
Kaitlyn Loftus	5****s	1
Julia TagBot	5****t	1
Elliot Saba	s**t@g**m	1
Chris de Graaf	me@c****v	1
Anshul Singhvi	a**7@s**u	1
Harry Saxton	c**9@m**k	1
AlfonsoLanderos	a**s@u**u	1

Committer Domains (Top 20 + Academic)

ucla.edu: 1 my.shu.ac.uk: 1 simons-rock.edu: 1 cdg.dev: 1 alum.mit.edu: 1 college.harvard.edu: 1 mit.edu: 1 ranocha.de: 1 juliacomputing.com: 1 julialang.org: 1 devmotion.de: 1 chrisrackauckas.com: 1

Issues and Pull Requests

Last synced: 6 months ago

All Time

Total issues: 31
Total pull requests: 157
Average time to close issues: 6 months
Average time to close pull requests: 3 days
Total issue authors: 23
Total pull request authors: 22
Average comments per issue: 9.9
Average comments per pull request: 0.71
Merged pull requests: 125
Bot issues: 0
Bot pull requests: 22

Past Year

Issues: 3
Pull requests: 46
Average time to close issues: 25 days
Average time to close pull requests: 7 days
Issue authors: 3
Pull request authors: 9
Average comments per issue: 0.33
Average comments per pull request: 0.59
Merged pull requests: 29
Bot issues: 0
Bot pull requests: 3

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Top Authors

Issue Authors

ChrisRackauckas (7)
devmotion (2)
slwu89 (2)
lindnemi (1)
baggepinnen (1)
adhalanay (1)
penelopeysm (1)
JuliaTagBot (1)
rodrigomha (1)
jewh (1)
pclus (1)
thibmonsel (1)
serdar- (1)
AlexNascou (1)
ranocha (1)

Pull Request Authors

ChrisRackauckas (59)
devmotion (25)
github-actions[bot] (12)
dependabot[bot] (10)
oscardssmith (9)
jClugstor (7)
AayushSabharwal (7)
thazhemadam (4)
LilithHafner (4)
ranocha (4)
YingboMa (2)
ChrisRackauckas-Claude (2)
kaitlyn-loftus (2)
H-Sax (2)
wi11dey (1)

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Issue Labels

bug (5) Hacktoberfest (1)

Pull Request Labels

dependencies (10) github_actions (1)

Packages

Total packages: 1
Total downloads:
- julia 4,739 total

Total dependent packages: 6
Total dependent repositories: 4
Total versions: 120

juliahub.com: DelayDiffEq

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Documentation: https://docs.juliahub.com/General/DelayDiffEq/stable/
License: MIT
Latest release: 5.59.0
published 6 months ago

Versions: 120
Dependent Packages: 6
Dependent Repositories: 4
Downloads: 4,739 Total

Rankings

Dependent repos count: 5.5%

Forks count: 7.5%

Dependent packages count: 8.6%

Average: 8.7%

Stargazers count: 13.0%

Last synced: 6 months ago

Dependencies

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