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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 241

  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 1.5k 229

  3. NeuralPDE.jl NeuralPDE.jl Public

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

    Julia 1.1k 220

  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 892 160

  5. diffeqpy diffeqpy Public

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

    Python 570 44

  6. diffeqr diffeqr Public

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

    R 144 15

Repositories

Showing 10 of 193 repositories
  • StructuralIdentifiability.jl Public

    Fast and automatic structural identifiability software for ODE systems

    SciML/StructuralIdentifiability.jl’s past year of commit activity
    Julia 123 MIT 20 9 8 Updated Jul 28, 2025
  • ADTypes.jl Public

    Repository for automatic differentiation backend types

    SciML/ADTypes.jl’s past year of commit activity
    Julia 52 MIT 14 9 5 Updated Jul 28, 2025
  • Sundials.jl Public

    Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

    SciML/Sundials.jl’s past year of commit activity
    Julia 210 BSD-2-Clause 78 37 (1 issue needs help) 4 Updated Jul 28, 2025
  • SciMLSensitivity.jl Public

    A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

    SciML/SciMLSensitivity.jl’s past year of commit activity
    Julia 358 76 105 8 Updated Jul 28, 2025
  • OrgMaintenanceScripts.jl Public

    A bunch of functions which are helpful for maintaining large Github organizations

    SciML/OrgMaintenanceScripts.jl’s past year of commit activity
    Julia 1 MIT 1 0 0 Updated Jul 28, 2025
  • CommonWorldInvalidations.jl Public

    Fixing the world one invalidator at a time.

    SciML/CommonWorldInvalidations.jl’s past year of commit activity
    Julia 10 MIT 1 2 0 Updated Jul 28, 2025
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl’s past year of commit activity
    Julia 159 MIT 108 64 (2 issues need help) 33 Updated Jul 28, 2025
  • RootedTrees.jl Public

    A collection of functionality around rooted trees to generate order conditions for Runge-Kutta methods in Julia for differential equations and scientific machine learning (SciML)

    SciML/RootedTrees.jl’s past year of commit activity
    Julia 37 MIT 16 8 5 Updated Jul 28, 2025
  • NeuralOperators.jl Public

    DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

    SciML/NeuralOperators.jl’s past year of commit activity
    Julia 24 MIT 11 4 3 Updated Jul 28, 2025
  • DiffEqCallbacks.jl Public

    A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

    SciML/DiffEqCallbacks.jl’s past year of commit activity
    Julia 99 52 21 4 Updated Jul 28, 2025