Data

Tools

Indexes

Applications

Experiments

Open Source Science

ordinarydiffeq.jl-1dea7af3-3e70-54e6-95c3-0bf5283fa5ed

Last snapshots taken from https://github.com/UnofficialJuliaMirror/OrdinaryDiffEq.jl-1dea7af3-3e70-54e6-95c3-0bf5283fa5ed on 2019-11-20T10:16:48.946-05:00 by @UnofficialJuliaMirrorBot via Travis job 153.26 , triggered by Travis cron job on branch "master"

https://github.com/unofficialjuliamirrorsnapshots/ordinarydiffeq.jl-1dea7af3-3e70-54e6-95c3-0bf5283fa5ed

Science Score: 18.0%

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
  • ○
    .zenodo.json file
  • ○
    DOI references
  • ○
    Academic publication links
  • ○
    Academic email domains
  • ○
    Institutional organization owner
  • ○
    JOSS paper metadata
  • ○
    Scientific vocabulary similarity
    Low similarity (10.8%) to scientific vocabulary
Last synced: 10 months ago · JSON representation ·

Repository

Last snapshots taken from https://github.com/UnofficialJuliaMirror/OrdinaryDiffEq.jl-1dea7af3-3e70-54e6-95c3-0bf5283fa5ed on 2019-11-20T10:16:48.946-05:00 by @UnofficialJuliaMirrorBot via Travis job 153.26 , triggered by Travis cron job on branch "master"

Basic Info
  • Host: GitHub
  • Owner: UnofficialJuliaMirrorSnapshots
  • License: other
  • Language: Julia
  • Default Branch: master
  • Size: 3.66 MB
Statistics
  • Stars: 0
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 0
Created about 7 years ago · Last pushed over 6 years ago
Metadata Files
Readme License Citation

README.md

OrdinaryDiffEq.jl

Join the chat at https://gitter.im/JuliaDiffEq/Lobby Build Status Build status GitlabCI Coverage Status codecov

OrdinaryDiffEq.jl is a component package in the DifferentialEquations ecosystem. It holds the ordinary differential equation solvers and utilities. While completely independent and usable on its own, users interested in using this functionality should check out DifferentialEquations.jl.

API

OrdinaryDiffEq.jl is part of the JuliaDiffEq common interface, but can be used independently of DifferentialEquations.jl. The only requirement is that the user passes an OrdinaryDiffEq.jl algorithm to solve. For example, we can solve the ODE tutorial from the docs using the Tsit5() algorithm:

julia using OrdinaryDiffEq f(u,p,t) = 1.01*u u0=1/2 tspan = (0.0,1.0) prob = ODEProblem(f,u0,tspan) sol = solve(prob,Tsit5(),reltol=1e-8,abstol=1e-8) using Plots plot(sol,linewidth=5,title="Solution to the linear ODE with a thick line", xaxis="Time (t)",yaxis="u(t) (in μm)",label="My Thick Line!") # legend=false plot!(sol.t, t->0.5*exp(1.01t),lw=3,ls=:dash,label="True Solution!")

That example uses the out-of-place syntax f(u,p,t), while the inplace syntax (more efficient for systems of equations) is shown in the Lorenz example:

julia using OrdinaryDiffEq function lorenz(du,u,p,t) du[1] = 10.0(u[2]-u[1]) du[2] = u[1]*(28.0-u[3]) - u[2] du[3] = u[1]*u[2] - (8/3)*u[3] end u0 = [1.0;0.0;0.0] tspan = (0.0,100.0) prob = ODEProblem(lorenz,u0,tspan) sol = solve(prob,Tsit5()) using Plots; plot(sol,vars=(1,2,3))

For "refined ODEs" like dynamical equations and SecondOrderODEProblems, refer to the DiffEqDocs. For example, in DiffEqTutorials.jl we show how to solve equations of motion using symplectic methods:

julia function HH_acceleration(dv,v,u,p,t) x,y = u dx,dy = dv dv[1] = -x - 2x*y dv[2] = y^2 - y -x^2 end initial_positions = [0.0,0.1] initial_velocities = [0.5,0.0] prob = SecondOrderODEProblem(HH_acceleration,initial_velocities,initial_positions,tspan) sol2 = solve(prob, KahanLi8(), dt=1/10);

Other refined forms are IMEX and semi-linear ODEs (for exponential integrators).

Available Solvers

For the list of available solvers, please refer to the DifferentialEquations.jl ODE Solvers, Dynamical ODE Solvers, and the Split ODE Solvers pages.

Owner

  • Name: Unofficial Julia Mirror [Snapshots]
  • Login: UnofficialJuliaMirrorSnapshots
  • Kind: organization

Snapshots of all registered Julia packages. Updated weekly by @UnofficialJuliaMirrorBot. See also: @UnofficialJuliaMirror.

Citation (CITATION.bib) 

@article{DifferentialEquations.jl-2017,
 author = {Rackauckas, Christopher and Nie, Qing},
 doi = {10.5334/jors.151},
 journal = {The Journal of Open Source 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}
}

GitHub Events

Total
Last Year