Julia Differential Equations

Julia Differential Equations#

  • SciML/DifferentialEquations.jl : high-performance solvers for differential equations.

  • SciML/ModelingToolkit.jl : a modeling framework for high-performance symbolic-numeric computation in scientific computing and scientific machine learning

  • SciML/Catalyst.jl : a symbolic modeling package for analysis and high performance simulation of chemical reaction networks.

Runtime environment#

import InteractiveUtils
InteractiveUtils.versioninfo()
Julia Version 1.11.2
Commit 5e9a32e7af2 (2024-12-01 20:02 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 4 × AMD EPYC 7763 64-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver3)
Threads: 2 default, 0 interactive, 1 GC (on 4 virtual cores)
Environment:
  JULIA_CI = true
  LD_LIBRARY_PATH = /opt/hostedtoolcache/Python/3.12.8/x64/lib
  JULIA_PROJECT = /home/runner/work/jl-diffeq/jl-diffeq/Project.toml
  JULIA_DEPOT_PATH = /home/runner/.julia:/opt/hostedtoolcache/julia/1.11.2/x64/local/share/julia:/opt/hostedtoolcache/julia/1.11.2/x64/share/julia
  JULIA_CONDAPKG_BACKEND = Null
  JULIA_NUM_THREADS = 2
  JULIA_LOAD_PATH = @:@v#.#:@stdlib
import Pkg
Pkg.status()
Status `~/work/jl-diffeq/jl-diffeq/Project.toml`
  [6e4b80f9] BenchmarkTools v1.5.0
  [479239e8] Catalyst v14.4.1
  [b0b7db55] ComponentArrays v0.15.19
  [1130ab10] DiffEqParamEstim v2.2.0
  [0c46a032] DifferentialEquations v7.15.0
  [f6369f11] ForwardDiff v0.10.38
  [2ee39098] LabelledArrays v1.16.0
  [23fbe1c1] Latexify v0.16.5
  [961ee093] ModelingToolkit v9.58.0
  [77ba4419] NaNMath v1.0.2
⌅ [8913a72c] NonlinearSolve v3.15.1
  [429524aa] Optim v1.10.0
  [7f7a1694] Optimization v4.0.5
  [36348300] OptimizationOptimJL v0.4.1
  [1dea7af3] OrdinaryDiffEq v6.90.1
  [91a5bcdd] Plots v1.40.9
  [ce78b400] SimpleUnPack v1.1.0
  [276daf66] SpecialFunctions v2.5.0
  [0c5d862f] Symbolics v6.22.0
  [37e2e46d] LinearAlgebra v1.11.0
  [2f01184e] SparseArrays v1.11.0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`

This notebook was generated using Literate.jl.