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@SciML

SciML Open Source Scientific Machine Learning

Open source software for scientific machine learning

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Websites: Organization Website | Documentation

SciML Organization Stats: SciML Stars

SciML: Differentiable Modeling and Simulation Combined with Machine Learning

The SciML organization is a collection of tools for solving equations and modeling systems developed in the Julia programming language with bindings to other languages such as R and Python. The organization provides well-maintained tools which compose together as a coherent ecosystem. It has a coherent development principle, unified APIs over large collections of equation solvers, pervasive differentiability and sensitivity analysis, and features many of the highest performance and parallel implementations one can find.

Scientific Machine Learning (SciML) = Scientific Computing + Machine Learning

Where to Start?

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  1. DifferentialEquations.jl DifferentialEquations.jl Public

    Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equat…

    Julia 3k 244

  2. ModelingToolkit.jl ModelingToolkit.jl Public

    An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning a…

    Julia 1.6k 240

  3. NeuralPDE.jl NeuralPDE.jl Public

    Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

    Julia 1.2k 232

  4. DiffEqFlux.jl DiffEqFlux.jl Public

    Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

    Julia 906 159

  5. diffeqpy diffeqpy Public

    Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization

    Python 589 51

  6. diffeqr diffeqr Public

    Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem

    R 147 16

Repositories

Showing 10 of 200 repositories
  • OrdinaryDiffEq.jl Public

    High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

    SciML/OrdinaryDiffEq.jl’s past year of commit activity
    Julia 619 243 341 (11 issues need help) 50 Updated Jan 13, 2026
  • ModelingToolkit.jl Public

    An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

    SciML/ModelingToolkit.jl’s past year of commit activity
    Julia 1,594 240 443 (3 issues need help) 99 Updated Jan 13, 2026
  • DiffEqNoiseProcess.jl Public

    A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

    SciML/DiffEqNoiseProcess.jl’s past year of commit activity
    Julia 63 31 17 4 Updated Jan 13, 2026
  • StochasticDiffEq.jl Public

    Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

    SciML/StochasticDiffEq.jl’s past year of commit activity
    Julia 309 77 93 (2 issues need help) 11 Updated Jan 13, 2026
  • StochasticDelayDiffEq.jl Public

    Stochastic delay differential equations (SDDE) solvers for the SciML scientific machine learning ecosystem

    SciML/StochasticDelayDiffEq.jl’s past year of commit activity
    Julia 28 MIT 9 8 3 Updated Jan 13, 2026
  • SurrogatesBase.jl Public

    Basically just a surrogate in disguise

    SciML/SurrogatesBase.jl’s past year of commit activity
    Julia 5 MIT 4 0 0 Updated Jan 13, 2026
  • JumpProcesses.jl Public

    Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

    SciML/JumpProcesses.jl’s past year of commit activity
    Julia 147 38 71 (3 issues need help) 10 Updated Jan 13, 2026
  • SciML/SymbolicLimits.jl’s past year of commit activity
    Julia 5 MIT 5 0 1 Updated Jan 13, 2026
  • DeepEquilibriumNetworks.jl Public

    Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.

    SciML/DeepEquilibriumNetworks.jl’s past year of commit activity
    Julia 59 MIT 6 1 1 Updated Jan 13, 2026
  • StructuralIdentifiability.jl Public

    Fast and automatic structural identifiability software for ODE systems

    SciML/StructuralIdentifiability.jl’s past year of commit activity
    Julia 126 MIT 21 10 (1 issue needs help) 8 Updated Jan 13, 2026