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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 3.1k 246

  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 244

  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 235

  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 911 158

  5. diffeqpy diffeqpy Public

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

    Python 590 52

  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 202 repositories
  • 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 378 82 122 9 Updated Feb 26, 2026
  • ParameterizedFunctions.jl Public

    A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

    SciML/ParameterizedFunctions.jl’s past year of commit activity
    Julia 78 15 1 0 Updated Feb 26, 2026
  • 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 506 81 106 (1 issue needs help) 10 Updated Feb 26, 2026
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl’s past year of commit activity
    Julia 165 MIT 120 73 (2 issues need help) 32 Updated Feb 26, 2026
  • 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 624 246 331 (11 issues need help) 49 Updated Feb 26, 2026
  • SciMLBenchmarks.jl Public

    Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

    SciML/SciMLBenchmarks.jl’s past year of commit activity
    MATLAB 339 MIT 105 20 55 Updated Feb 26, 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 1,606 244 480 (3 issues need help) 104 Updated Feb 26, 2026
  • CommonSolve.jl Public

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

    SciML/CommonSolve.jl’s past year of commit activity
    Julia 30 8 0 0 Updated Feb 26, 2026
  • FiniteVolumeMethod1D.jl Public

    Implementation of the finite volume method in 1D.

    SciML/FiniteVolumeMethod1D.jl’s past year of commit activity
    Julia 6 MIT 2 1 1 Updated Feb 25, 2026
  • SciML/FastAlmostBandedMatrices.jl’s past year of commit activity
    Julia 9 MIT 4 2 2 Updated Feb 25, 2026