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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 273

  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 615 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 1,698 273 574 (2 issues need help) 154 Updated Nov 2, 2026
  • Corleone.jl Public

    Optimal Control meets Scientific Machine Learning

    SciML/Corleone.jl's past year of commit activity
    Julia 17 MIT 6 14 8 Updated Nov 2, 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 697 287 459 (11 issues need help) 182 Updated Nov 2, 2026
  • SciMLBook Public

    Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

    SciML/SciMLBook's past year of commit activity
    HTML 2,050 375 8 7 Updated Nov 2, 2026
  • JumpProcesses.jl Public

    Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

    SciML/JumpProcesses.jl's past year of commit activity
    Julia 151 42 81 (3 issues need help) 16 Updated Nov 2, 2026
  • PolyChaos.jl Public

    A Julia package to construct orthogonal polynomials, their quadrature rules, and use it with polynomial chaos expansions.

    SciML/PolyChaos.jl's past year of commit activity
    Julia 122 MIT 27 12 (1 issue needs help) 2 Updated Nov 2, 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 3 1 Updated Nov 2, 2026
  • BoundaryValueDiffEq.jl Public

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

    SciML/BoundaryValueDiffEq.jl's past year of commit activity
    Julia 61 42 42 13 Updated Nov 2, 2026
  • SymbolicAnalysis.jl Public

    Symbolics-based function property propagation for optimization

    SciML/SymbolicAnalysis.jl's past year of commit activity
    Julia 20 MIT 5 8 14 Updated Nov 2, 2026
  • 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 399 93 115 11 Updated Nov 2, 2026