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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 3.2k 255

  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 1.7k 271

  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 251

  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 929 162

  5. diffeqpy diffeqpy Public

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

    Python 612 54

  6. diffeqr diffeqr Public

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

    R 148 16

Repositories

Showing 10 of 228 repositories
  • 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 1,694 271 559 (2 issues need help) 154 Updated Oct 11, 2026
  • PETScDiffEq.jl Public

    Common interface bindings for the PETSc TS time integrators for the SciML Scientific Machine Learning ecosystem

    SciML/PETScDiffEq.jl's past year of commit activity
    Julia 3 MIT 2 12 6 Updated Oct 11, 2026
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl's past year of commit activity
    Julia 179 MIT 132 92 (2 issues need help) 47 Updated Oct 10, 2026
  • RecursiveArrayTools.jl Public

    Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

    SciML/RecursiveArrayTools.jl's past year of commit activity
    Julia 234 77 38 13 Updated Oct 10, 2026
  • SciMLOperators.jl Public

    SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

    SciML/SciMLOperators.jl's past year of commit activity
    Julia 56 MIT 22 27 7 Updated Oct 10, 2026
  • Optimization.jl Public

    Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

    SciML/Optimization.jl's past year of commit activity
    Julia 845 MIT 103 119 30 Updated Oct 10, 2026
  • 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 43 MIT 15 37 10 Updated Oct 10, 2026
  • DiffEqParamEstim.jl Public

    Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

    SciML/DiffEqParamEstim.jl's past year of commit activity
    Julia 62 33 18 3 Updated Oct 10, 2026
  • MonteCarloIntegration.jl Public

    A package for multi-dimensional integration using monte carlo methods

    SciML/MonteCarloIntegration.jl's past year of commit activity
    Julia 41 MIT 16 9 1 Updated Oct 10, 2026
  • MethodOfLines.jl Public

    Automatic Finite Difference PDE solving with Julia SciML

    SciML/MethodOfLines.jl's past year of commit activity
    Julia 212 MIT 42 95 15 Updated Oct 10, 2026