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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 242

  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 224

  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 896 163

  5. diffeqpy diffeqpy Public

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

    Python 580 47

  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
  • ModelOrderReduction.jl Public

    High-level model-order reduction to automate the acceleration of large-scale simulations

    SciML/ModelOrderReduction.jl’s past year of commit activity
    Julia 40 MIT 7 19 4 Updated Oct 9, 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 5 5 1 Updated Oct 9, 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 9, 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 802 MIT 100 98 6 Updated Oct 9, 2025
  • sciml.ai Public

    The SciML Scientific Machine Learning Software Organization Website

    SciML/sciml.ai’s past year of commit activity
    CSS 63 MIT 57 7 0 Updated Oct 8, 2025
  • ReservoirComputing.jl Public

    Reservoir computing utilities for scientific machine learning (SciML)

    SciML/ReservoirComputing.jl’s past year of commit activity
    Julia 215 MIT 41 31 (4 issues need help) 6 Updated Oct 8, 2025
  • 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 1,554 233 423 (3 issues need help) 95 Updated Oct 8, 2025
  • SymbolicIndexingInterface.jl Public

    A general interface for symbolic indexing of SciML objects used in conjunction with Domain-Specific Languages

    SciML/SymbolicIndexingInterface.jl’s past year of commit activity
    Julia 18 MIT 10 10 10 Updated Oct 8, 2025
  • Sundials.jl Public

    Julia interface to Sundials, including a nonlinear solver (KINSOL), ODEs (CVODE and ARKODE), and DAEs (IDA)

    SciML/Sundials.jl’s past year of commit activity
    Julia 210 BSD-2-Clause 79 23 0 Updated Oct 8, 2025
  • SciMLDocs Public

    Global documentation for the Julia SciML Scientific Machine Learning Organization

    SciML/SciMLDocs’s past year of commit activity
    Julia 81 MIT 51 8 2 Updated Oct 8, 2025