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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 243

  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 233

  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 225

  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 898 163

  5. diffeqpy diffeqpy Public

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

    Python 581 48

  6. diffeqr diffeqr Public

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

    R 145 16

Repositories

Showing 10 of 198 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 1,555 233 424 (3 issues need help) 95 Updated Oct 16, 2025
  • 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 801 MIT 100 99 10 Updated Oct 16, 2025
  • ModelingToolkitNeuralNets.jl Public

    Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)

    SciML/ModelingToolkitNeuralNets.jl’s past year of commit activity
    Julia 35 MIT 6 5 1 Updated Oct 16, 2025
  • CommonSolve.jl Public

    A common solve function for scientific machine learning (SciML) and beyond

    SciML/CommonSolve.jl’s past year of commit activity
    Julia 26 8 1 0 Updated Oct 16, 2025
  • NeuralLyapunov.jl Public

    A library for searching for neural Lyapunov functions in Julia.

    SciML/NeuralLyapunov.jl’s past year of commit activity
    Julia 4 2 2 6 Updated Oct 15, 2025
  • BoundaryValueDiffEq.jl Public

    Boundary value problem (BVP) solvers for scientific machine learning (SciML)

    SciML/BoundaryValueDiffEq.jl’s past year of commit activity
    Julia 51 40 26 10 Updated Oct 15, 2025
  • GlobalSensitivity.jl Public

    Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia

    SciML/GlobalSensitivity.jl’s past year of commit activity
    Julia 58 MIT 23 26 3 Updated Oct 15, 2025
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl’s past year of commit activity
    Julia 167 MIT 114 67 (2 issues need help) 33 Updated Oct 15, 2025
  • Catalyst.jl Public

    Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

    SciML/Catalyst.jl’s past year of commit activity
    Julia 497 82 98 (3 issues need help) 32 Updated Oct 15, 2025
  • 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

    SciML/DiffEqFlux.jl’s past year of commit activity
    Julia 898 MIT 163 39 (1 issue needs help) 5 Updated Oct 15, 2025