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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 256

  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 274

  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 253

  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 928 162

  5. diffeqpy diffeqpy Public

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

    Python 616 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 229 repositories
  • SciML/SparseMatrixIdentification.jl's past year of commit activity
    Julia 5 MIT 1 1 1 Updated Nov 12, 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 852 MIT 107 124 21 Updated Nov 12, 2026
  • DataCollocations.jl Public

    Non-parametric data collocation functionality for smoothing timeseries data and estimating derivatives.

    SciML/DataCollocations.jl's past year of commit activity
    Julia 0 MIT 3 0 1 Updated Nov 12, 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 3 20 2 Updated Nov 11, 2026
  • QuasiMonteCarlo.jl Public

    Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

    SciML/QuasiMonteCarlo.jl's past year of commit activity
    Julia 124 MIT 27 20 5 Updated Nov 11, 2026
  • SciML/SymbolicLimits.jl's past year of commit activity
    Julia 8 MIT 6 2 2 Updated Nov 11, 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 1,699 274 581 (2 issues need help) 157 Updated Nov 11, 2026
  • Corleone.jl Public

    Optimal Control meets Scientific Machine Learning

    SciML/Corleone.jl's past year of commit activity
    Julia 18 MIT 6 9 6 Updated Nov 11, 2026
  • ModelingToolkitCourse Public

    A course on composable system modeling, differential-algebraic equations, acausal modeling, compilers for simulation, and building digital twins of real-world devices

    SciML/ModelingToolkitCourse's past year of commit activity
    Julia 52 MIT 7 0 0 Updated Nov 11, 2026
  • 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 41 MIT 7 7 3 Updated Nov 11, 2026