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SciML Scientific Machine Learning Developer Documentation

This is the developer documentation and Contributor's Guide for the SciML ecosystem. It explains the common interface and some the package internals to help developers contribute.

If you have any questions, or just want to chat about solvers/using the package, please feel free to use the Gitter channel. For bug reports, feature requests, etc., please submit an issue.

Overview

The SciML ecosystem is built around the common interface. The common interface is a type-based interface where users define problems as a type, and solvers plug into the ecosystem by defining an algorithm to give a new dispatch to

__solve(prob, alg; kwargs...)
__init(prob, alg; kwargs...)

There is a top level solve and init function which is in DiffEqBase.jl that handles distribution and function input (along with extra warnings) before sending the problems to the packages.

There is then an ecosystem of add-on components which use the common solver interface to add analysis tools for differential equations.

Contributing to the Ecosystem

There are many ways to help the ecosystem. One way you can contribute is to give pull requests (PRs) to existing packages. Another way to contribute is to add your own package to the ecosystem. Adding your own package to the ecosystem allows you to keep executive control and licensing over your methods, but allows users of DifferentialEquations.jl to use your methods via the common interface, and makes your package compatible with the add-on tools (sensitivity analysis, parameter estimation, etc). Note that, in order for the method to be used as a default, one is required to move their package to the SciML organization so that way common maintenance (such as fixing deprecation warnings, updating tests to newer versions, and emergency fixes / disabling) can be allowed by SciML members. However, the lead developer of the package maintains administrative control, and thus any change to the core algorithms by other SciML members will only be given through PRs.

Even if you don't have the time to contribute new solver algorithms or add-on tools, there's always ways to help! Improved plot recipes and new series recipes are always nice to add more default plots. It is always helpful to have benchmarks between different algorithms to see "which is best". Adding examples IJulia notebooks to DiffEqTutorials.jl is a good way to share knowledge about DifferentialEquations.jl. Also, please feel free to comb through the solvers and look for ways to make them more efficient. Lastly, the documentation could always use improvements. If you have any questions on how to help, just ask them in the Gitter!

Code of Conduct

All contributors must adhere to the NumFOCUS Code of Conduct. Treat everyone with respect. Failure to comply will result in individuals being banned from the community.

Contributor Guide

Algorithm Development Tools

The following algorithm development tools are provided by DiffEqDevTools.jl

Internal Documentation

Reproducibility

The documentation of this SciML package was built using these direct dependencies,
Status `~/_work/OrdinaryDiffEq.jl/OrdinaryDiffEq.jl/docs/Project.toml`
  [47edcb42] ADTypes v1.24.0
  [38540f10] CommonSolve v0.2.14
  [bcd4f6db] DelayDiffEq v6.2.0
  [2b5f629d] DiffEqBase v7.18.2 `../lib/DiffEqBase`
  [f3b72e0c] DiffEqDevTools v3.5.0 `../lib/DiffEqDevTools`
  [e30172f5] Documenter v1.17.0
  [1d72d19b] GlobalDiffEq v1.4.0 `../lib/GlobalDiffEq`
  [3263718b] ImplicitDiscreteSolve v2.2.0 `../lib/ImplicitDiscreteSolve`
  [1dea7af3] OrdinaryDiffEq v7.8.1 `~/_work/OrdinaryDiffEq.jl/OrdinaryDiffEq.jl`
  [08082164] OrdinaryDiffEqAMF v2.3.0 `../lib/OrdinaryDiffEqAMF`
  [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v2.2.0 `../lib/OrdinaryDiffEqAdamsBashforthMoulton`
  [6ad6398a] OrdinaryDiffEqBDF v2.4.5 `../lib/OrdinaryDiffEqBDF`
  [bbf590c4] OrdinaryDiffEqCore v4.15.1 `../lib/OrdinaryDiffEqCore`
  [50262376] OrdinaryDiffEqDefault v2.5.0 `../lib/OrdinaryDiffEqDefault`
  [4302a76b] OrdinaryDiffEqDifferentiation v3.10.1 `../lib/OrdinaryDiffEqDifferentiation`
  [9286f039] OrdinaryDiffEqExplicitRK v2.2.0 `../lib/OrdinaryDiffEqExplicitRK`
  [e0540318] OrdinaryDiffEqExponentialRK v2.3.0 `../lib/OrdinaryDiffEqExponentialRK`
  [becaefa8] OrdinaryDiffEqExtrapolation v2.5.0 `../lib/OrdinaryDiffEqExtrapolation`
  [5960d6e9] OrdinaryDiffEqFIRK v2.8.1 `../lib/OrdinaryDiffEqFIRK`
  [101fe9f7] OrdinaryDiffEqFeagin v2.2.1 `../lib/OrdinaryDiffEqFeagin`
  [d3585ca7] OrdinaryDiffEqFunctionMap v2.2.1 `../lib/OrdinaryDiffEqFunctionMap`
  [d28bc4f8] OrdinaryDiffEqHighOrderRK v2.2.0 `../lib/OrdinaryDiffEqHighOrderRK`
  [9f002381] OrdinaryDiffEqIMEXMultistep v2.2.0 `../lib/OrdinaryDiffEqIMEXMultistep`
  [521117fe] OrdinaryDiffEqLinear v2.3.0 `../lib/OrdinaryDiffEqLinear`
  [1344f307] OrdinaryDiffEqLowOrderRK v2.2.4 `../lib/OrdinaryDiffEqLowOrderRK`
  [b0944070] OrdinaryDiffEqLowStorageRK v3.4.0 `../lib/OrdinaryDiffEqLowStorageRK`
  [d204908a] OrdinaryDiffEqNewmark v2.4.0 `../lib/OrdinaryDiffEqNewmark`
  [127b3ac7] OrdinaryDiffEqNonlinearSolve v2.9.1 `../lib/OrdinaryDiffEqNonlinearSolve`
  [c9986a66] OrdinaryDiffEqNordsieck v2.3.0 `../lib/OrdinaryDiffEqNordsieck`
  [5dd0a6cf] OrdinaryDiffEqPDIRK v2.4.1 `../lib/OrdinaryDiffEqPDIRK`
  [5b33eab2] OrdinaryDiffEqPRK v2.3.0 `../lib/OrdinaryDiffEqPRK`
  [04162be5] OrdinaryDiffEqQPRK v2.2.1 `../lib/OrdinaryDiffEqQPRK`
  [af6ede74] OrdinaryDiffEqRKN v2.2.0 `../lib/OrdinaryDiffEqRKN`
  [43230ef6] OrdinaryDiffEqRosenbrock v2.7.0 `../lib/OrdinaryDiffEqRosenbrock`
  [b4bd8bb3] OrdinaryDiffEqRosenbrockTableaus v2.4.2 `../lib/OrdinaryDiffEqRosenbrockTableaus`
  [2d112036] OrdinaryDiffEqSDIRK v2.9.1 `../lib/OrdinaryDiffEqSDIRK`
  [669c94d9] OrdinaryDiffEqSSPRK v2.3.1 `../lib/OrdinaryDiffEqSSPRK`
  [e3e12d00] OrdinaryDiffEqStabilizedIRK v2.1.2 `../lib/OrdinaryDiffEqStabilizedIRK`
  [358294b1] OrdinaryDiffEqStabilizedRK v2.6.0 `../lib/OrdinaryDiffEqStabilizedRK`
  [fa646aed] OrdinaryDiffEqSymplecticRK v2.2.2 `../lib/OrdinaryDiffEqSymplecticRK`
  [9c7f1690] OrdinaryDiffEqTaylorSeries v2.2.1 `../lib/OrdinaryDiffEqTaylorSeries`
  [b1df2697] OrdinaryDiffEqTsit5 v2.1.4 `../lib/OrdinaryDiffEqTsit5`
  [79d7bb75] OrdinaryDiffEqVerner v2.4.1 `../lib/OrdinaryDiffEqVerner`
  [0bca4576] SciMLBase v3.49.2
  [a6db7da4] SciMLLogging v2.1.0
  [c0aeaf25] SciMLOperators v1.30.0
  [19c5a474] StochasticDiffEqCore v2.2.0 `../lib/StochasticDiffEqCore`
  [0520c28c] StochasticDiffEqHighOrder v2.2.0 `../lib/StochasticDiffEqHighOrder`
  [ebf54054] StochasticDiffEqIIF v2.1.0 `../lib/StochasticDiffEqIIF`
  [5080b986] StochasticDiffEqImplicit v2.2.0 `../lib/StochasticDiffEqImplicit`
  [aefaaa88] StochasticDiffEqLeaping v2.1.0 `../lib/StochasticDiffEqLeaping`
  [90dbc90e] StochasticDiffEqLevyArea v2.1.1 `../lib/StochasticDiffEqLevyArea`
  [d15fe365] StochasticDiffEqLowOrder v2.0.5 `../lib/StochasticDiffEqLowOrder`
  [8c95a807] StochasticDiffEqMilstein v2.1.1 `../lib/StochasticDiffEqMilstein`
  [db241ea8] StochasticDiffEqROCK v2.1.0 `../lib/StochasticDiffEqROCK`
  [49714585] StochasticDiffEqRODE v2.1.0 `../lib/StochasticDiffEqRODE`
  [af2a2fcd] StochasticDiffEqWeak v2.2.0 `../lib/StochasticDiffEqWeak`
and using this machine and Julia version.
Julia Version 1.12.7
Commit 6d172b025e4 (2026-08-15 08:05 UTC)
Build Info:
  Official https://julialang.org release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 128 × AMD EPYC 9354 32-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-18.1.7 (ORCJIT, znver4)
  GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 4 virtual cores)
Environment:
  JULIA_CPU_THREADS = 4
  JULIA_NUM_PRECOMPILE_TASKS = 4
A more complete overview of all dependencies and their versions is also provided.
Status `~/_work/OrdinaryDiffEq.jl/OrdinaryDiffEq.jl/docs/Manifest.toml`
  [47edcb42] ADTypes v1.24.0
  [14f7f29c] AMD v0.5.3
  [a4c015fc] ANSIColoredPrinters v0.0.1
  [6e696c72] AbstractPlutoDingetjes v1.4.0
  [1520ce14] AbstractTrees v0.4.5
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  [ec485272] ArnoldiMethod v0.4.0
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  [e2ed5e7c] Bijections v0.2.2
  [b2a6c25c] BinaryHeaps v1.1.0
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [70df07ce] BracketingNonlinearSolve v1.12.6
  [2a0fbf3d] CPUSummary v0.2.7
  [082447d4] ChainRules v1.73.0
  [d360d2e6] ChainRulesCore v1.26.1
  [fb6a15b2] CloseOpenIntervals v0.1.13
  [944b1d66] CodecZlib v0.7.9
⌅ [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.14
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.2.0
  [34da2185] Compat v4.18.1
  [b152e2b5] CompositeTypes v0.1.4
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.8
  [187b0558] ConstructionBase v1.6.0
  [adafc99b] CpuId v0.3.1
  [a8cc5b0e] Crayons v4.2.0
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.19.6
  [e2d170a0] DataValueInterfaces v1.0.0
  [bcd4f6db] DelayDiffEq v6.2.0
  [2b5f629d] DiffEqBase v7.18.2 `../lib/DiffEqBase`
  [459566f4] DiffEqCallbacks v4.19.3
  [f3b72e0c] DiffEqDevTools v3.5.0 `../lib/DiffEqDevTools`
  [77a26b50] DiffEqNoiseProcess v5.36.1
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.16.0
  [a0c0ee7d] DifferentiationInterface v0.7.21
  [31c24e10] Distributions v0.25.131
  [ffbed154] DocStringExtensions v0.9.5
  [e30172f5] Documenter v1.17.0
  [5b8099bc] DomainSets v0.8.1
  [7c1d4256] DynamicPolynomials v0.6.6
  [4e289a0a] EnumX v1.0.7
  [f151be2c] EnzymeCore v0.8.21
  [d4d017d3] ExponentialUtilities v1.35.1
  [e2ba6199] ExprTools v0.1.11
  [55351af7] ExproniconLite v0.10.14
  [7034ab61] FastBroadcast v1.4.0
  [9aa1b823] FastClosures v0.3.2
  [442a2c76] FastGaussQuadrature v1.3.0
  [a4df4552] FastPower v1.5.0
  [1a297f60] FillArrays v1.17.0
  [64ca27bc] FindFirstFunctions v3.2.1
  [6a86dc24] FiniteDiff v2.33.0
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.4.5
  [a85aefff] FunctionMaps v0.1.2
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v1.13.0
  [46192b85] GPUArraysCore v0.2.0
  [a0844989] Gamma v1.2.0
  [c145ed77] GenericSchur v0.5.8
  [d7ba0133] Git v1.5.0
  [1d72d19b] GlobalDiffEq v1.4.0 `../lib/GlobalDiffEq`
  [86223c79] Graphs v1.14.0
  [34004b35] HypergeometricFunctions v0.3.30
  [b5f81e59] IOCapture v1.0.0
  [615f187c] IfElse v0.1.1
  [3263718b] ImplicitDiscreteSolve v2.2.0 `../lib/ImplicitDiscreteSolve`
  [d25df0c9] Inflate v0.1.5
  [18e54dd8] IntegerMathUtils v0.1.4
  [8197267c] IntervalSets v0.7.14
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.6
  [82899510] IteratorInterfaceExtensions v1.0.0
  [692b3bcd] JLLWrappers v1.8.0
  [682c06a0] JSON v1.7.1
  [ae98c720] Jieko v0.2.1
  [ccbc3e58] JumpProcesses v9.30.1
  [ba0b0d4f] Krylov v0.10.9
  [2faa5264] LHLFactorization v2.2.0
  [b964fa9f] LaTeXStrings v1.4.1
  [23fbe1c1] Latexify v0.16.12
  [10f19ff3] LayoutPointers v0.1.17
  [0e77f7df] LazilyInitializedFields v1.3.0
  [87fe0de2] LineSearch v0.1.16
  [7ed4a6bd] LinearSolve v5.13.2
  [2ab3a3ac] LogExpFunctions v1.0.1
  [e6f89c97] LoggingExtras v1.2.0
  [1914dd2f] MacroTools v0.5.16
  [d125e4d3] ManualMemory v0.1.8
  [d0879d2d] MarkdownAST v0.1.3
  [a3b82374] MatrixFactorizations v3.1.3
  [bb5d69b7] MaybeInplace v0.1.8
  [e1d29d7a] Missings v1.2.0
  [2e0e35c7] Moshi v0.3.12
  [46d2c3a1] MuladdMacro v0.2.7
  [102ac46a] MultivariatePolynomials v0.5.19
  [d8a4904e] MutableArithmetics v1.8.0
  [77ba4419] NaNMath v1.1.4
  [8913a72c] NonlinearSolve v4.28.1
  [be0214bd] NonlinearSolveBase v2.48.0
  [5959db7a] NonlinearSolveFirstOrder v2.4.1
  [9a2c21bd] NonlinearSolveQuasiNewton v1.15.2
  [26075421] NonlinearSolveSpectralMethods v1.8.1
  [bac558e1] OrderedCollections v2.0.1
  [1dea7af3] OrdinaryDiffEq v7.8.1 `~/_work/OrdinaryDiffEq.jl/OrdinaryDiffEq.jl`
  [08082164] OrdinaryDiffEqAMF v2.3.0 `../lib/OrdinaryDiffEqAMF`
  [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v2.2.0 `../lib/OrdinaryDiffEqAdamsBashforthMoulton`
  [6ad6398a] OrdinaryDiffEqBDF v2.4.5 `../lib/OrdinaryDiffEqBDF`
  [bbf590c4] OrdinaryDiffEqCore v4.15.1 `../lib/OrdinaryDiffEqCore`
  [50262376] OrdinaryDiffEqDefault v2.5.0 `../lib/OrdinaryDiffEqDefault`
  [4302a76b] OrdinaryDiffEqDifferentiation v3.10.1 `../lib/OrdinaryDiffEqDifferentiation`
  [9286f039] OrdinaryDiffEqExplicitRK v2.2.0 `../lib/OrdinaryDiffEqExplicitRK`
  [e0540318] OrdinaryDiffEqExponentialRK v2.3.0 `../lib/OrdinaryDiffEqExponentialRK`
  [becaefa8] OrdinaryDiffEqExtrapolation v2.5.0 `../lib/OrdinaryDiffEqExtrapolation`
  [5960d6e9] OrdinaryDiffEqFIRK v2.8.1 `../lib/OrdinaryDiffEqFIRK`
  [101fe9f7] OrdinaryDiffEqFeagin v2.2.1 `../lib/OrdinaryDiffEqFeagin`
  [d3585ca7] OrdinaryDiffEqFunctionMap v2.2.1 `../lib/OrdinaryDiffEqFunctionMap`
  [d28bc4f8] OrdinaryDiffEqHighOrderRK v2.2.0 `../lib/OrdinaryDiffEqHighOrderRK`
  [9f002381] OrdinaryDiffEqIMEXMultistep v2.2.0 `../lib/OrdinaryDiffEqIMEXMultistep`
  [521117fe] OrdinaryDiffEqLinear v2.3.0 `../lib/OrdinaryDiffEqLinear`
  [1344f307] OrdinaryDiffEqLowOrderRK v2.2.4 `../lib/OrdinaryDiffEqLowOrderRK`
  [b0944070] OrdinaryDiffEqLowStorageRK v3.4.0 `../lib/OrdinaryDiffEqLowStorageRK`
  [d204908a] OrdinaryDiffEqNewmark v2.4.0 `../lib/OrdinaryDiffEqNewmark`
  [127b3ac7] OrdinaryDiffEqNonlinearSolve v2.9.1 `../lib/OrdinaryDiffEqNonlinearSolve`
  [c9986a66] OrdinaryDiffEqNordsieck v2.3.0 `../lib/OrdinaryDiffEqNordsieck`
  [5dd0a6cf] OrdinaryDiffEqPDIRK v2.4.1 `../lib/OrdinaryDiffEqPDIRK`
  [5b33eab2] OrdinaryDiffEqPRK v2.3.0 `../lib/OrdinaryDiffEqPRK`
  [04162be5] OrdinaryDiffEqQPRK v2.2.1 `../lib/OrdinaryDiffEqQPRK`
  [af6ede74] OrdinaryDiffEqRKN v2.2.0 `../lib/OrdinaryDiffEqRKN`
  [43230ef6] OrdinaryDiffEqRosenbrock v2.7.0 `../lib/OrdinaryDiffEqRosenbrock`
  [b4bd8bb3] OrdinaryDiffEqRosenbrockTableaus v2.4.2 `../lib/OrdinaryDiffEqRosenbrockTableaus`
  [2d112036] OrdinaryDiffEqSDIRK v2.9.1 `../lib/OrdinaryDiffEqSDIRK`
  [669c94d9] OrdinaryDiffEqSSPRK v2.3.1 `../lib/OrdinaryDiffEqSSPRK`
  [e3e12d00] OrdinaryDiffEqStabilizedIRK v2.1.2 `../lib/OrdinaryDiffEqStabilizedIRK`
  [358294b1] OrdinaryDiffEqStabilizedRK v2.6.0 `../lib/OrdinaryDiffEqStabilizedRK`
  [fa646aed] OrdinaryDiffEqSymplecticRK v2.2.2 `../lib/OrdinaryDiffEqSymplecticRK`
  [9c7f1690] OrdinaryDiffEqTaylorSeries v2.2.1 `../lib/OrdinaryDiffEqTaylorSeries`
  [b1df2697] OrdinaryDiffEqTsit5 v2.1.4 `../lib/OrdinaryDiffEqTsit5`
  [79d7bb75] OrdinaryDiffEqVerner v2.4.1 `../lib/OrdinaryDiffEqVerner`
  [90014a1f] PDMats v0.11.41
⌅ [69de0a69] Parsers v2.8.7
  [e409e4f3] PoissonRandom v0.4.13
  [f517fe37] Polyester v0.7.19
  [1d0040c9] PolyesterWeave v0.2.2
  [d236fae5] PreallocationTools v1.7.0
  [aea7be01] PrecompileTools v1.3.4
  [21216c6a] Preferences v1.5.2
  [08abe8d2] PrettyTables v3.4.8
  [27ebfcd6] Primes v0.5.7
  [43287f4e] PtrArrays v1.4.0
  [78ab2635] PureGebal v1.1.0
  [0c0d3e7f] PureKLU v1.4.1
  [1fd47b50] QuadGK v2.11.3
  [988b38a3] ReadOnlyArrays v0.2.0
  [c1ae055f] RealDot v0.1.0
  [3cdcf5f2] RecipesBase v1.3.4
  [731186ca] RecursiveArrayTools v4.5.1
  [189a3867] Reexport v1.2.2
  [2792f1a3] RegistryInstances v0.1.0
  [ae029012] Requires v1.3.1
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  [9fe22ead] RespecializeParams v1.3.0
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  [79098fc4] Rmath v0.9.0
  [47965b36] RootedTrees v2.27.0
  [f2b01f46] Roots v3.0.7
  [7e49a35a] RuntimeGeneratedFunctions v0.5.25
  [94e857df] SIMDTypes v0.1.0
  [0bca4576] SciMLBase v3.49.2
  [19f34311] SciMLJacobianOperators v0.1.18
  [a6db7da4] SciMLLogging v2.1.0
  [c0aeaf25] SciMLOperators v1.30.0
  [431bcebd] SciMLPublic v1.3.0
  [53ae85a6] SciMLStructures v1.10.5
  [efcf1570] Setfield v1.1.2
  [727e6d20] SimpleNonlinearSolve v2.14.1
  [699a6c99] SimpleTraits v0.9.6
  [a2af1166] SortingAlgorithms v1.2.3
  [a57abbd0] SparseColumnPivotedQR v2.1.7
  [dc90abb0] SparseInverseSubset v0.1.3
  [0a514795] SparseMatrixColorings v0.4.27
  [276daf66] SpecialFunctions v2.9.0
  [0c0c59c1] StarAlgebras v0.3.0
  [aedffcd0] Static v1.4.6
  [0d7ed370] StaticArrayInterface v1.10.0
  [90137ffa] StaticArrays v1.9.19
  [1e83bf80] StaticArraysCore v1.4.4
  [10745b16] Statistics v1.11.1
  [82ae8749] StatsAPI v1.8.0
  [2913bbd2] StatsBase v0.34.13
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  [19c5a474] StochasticDiffEqCore v2.2.0 `../lib/StochasticDiffEqCore`
  [0520c28c] StochasticDiffEqHighOrder v2.2.0 `../lib/StochasticDiffEqHighOrder`
  [ebf54054] StochasticDiffEqIIF v2.1.0 `../lib/StochasticDiffEqIIF`
  [5080b986] StochasticDiffEqImplicit v2.2.0 `../lib/StochasticDiffEqImplicit`
  [aefaaa88] StochasticDiffEqLeaping v2.1.0 `../lib/StochasticDiffEqLeaping`
  [90dbc90e] StochasticDiffEqLevyArea v2.1.1 `../lib/StochasticDiffEqLevyArea`
  [d15fe365] StochasticDiffEqLowOrder v2.0.5 `../lib/StochasticDiffEqLowOrder`
  [8c95a807] StochasticDiffEqMilstein v2.1.1 `../lib/StochasticDiffEqMilstein`
  [db241ea8] StochasticDiffEqROCK v2.1.0 `../lib/StochasticDiffEqROCK`
  [49714585] StochasticDiffEqRODE v2.1.0 `../lib/StochasticDiffEqRODE`
  [af2a2fcd] StochasticDiffEqWeak v2.2.0 `../lib/StochasticDiffEqWeak`
  [7792a7ef] StrideArraysCore v0.5.9
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  [f50d1b31] Rmath_jll v0.5.2+0
  [1317d2d5] oneTBB_jll v2022.3.0+0
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.7.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.12.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [ca575930] NetworkOptions v1.3.0
  [44cfe95a] Pkg v1.12.1
  [de0858da] Printf v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.12.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.3.1+2
  [deac9b47] LibCURL_jll v8.15.0+0
  [e37daf67] LibGit2_jll v1.9.0+0
  [29816b5a] LibSSH2_jll v1.11.3+1
  [14a3606d] MozillaCACerts_jll v2025.11.4
  [4536629a] OpenBLAS_jll v0.3.29+0
  [05823500] OpenLibm_jll v0.8.7+0
  [458c3c95] OpenSSL_jll v3.5.6+0
  [efcefdf7] PCRE2_jll v10.44.0+1
  [bea87d4a] SuiteSparse_jll v7.8.3+2
  [83775a58] Zlib_jll v1.3.1+2
  [8e850b90] libblastrampoline_jll v5.15.0+0
  [8e850ede] nghttp2_jll v1.64.0+1
  [3f19e933] p7zip_jll v17.7.0+0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

You can also download the manifest and project files.