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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 270

  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 250

  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 926 162

  5. diffeqpy diffeqpy Public

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

    Python 610 53

  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
  • LineSearch.jl Public

    Line Search Algorithms

    SciML/LineSearch.jl's past year of commit activity
    Julia 5 MIT 7 8 3 Updated Sep 16, 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 1 MIT 1 0 0 Updated Sep 16, 2026
  • HighDimPDE.jl Public

    A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality

    SciML/HighDimPDE.jl's past year of commit activity
    Julia 86 11 10 7 Updated Sep 16, 2026
  • MethodOfLines.jl Public

    Automatic Finite Difference PDE solving with Julia SciML

    SciML/MethodOfLines.jl's past year of commit activity
    Julia 209 MIT 41 98 13 Updated Sep 16, 2026
  • 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 926 MIT 162 50 (1 issue needs help) 6 Updated Sep 16, 2026
  • RootedTrees.jl Public

    A collection of functionality around rooted trees to generate order conditions for Runge-Kutta methods in Julia for differential equations and scientific machine learning (SciML)

    SciML/RootedTrees.jl's past year of commit activity
    Julia 36 MIT 19 9 5 Updated Sep 16, 2026
  • MaybeInplace.jl Public

    Rewrite Inplace Operations to be OOP if needed

    SciML/MaybeInplace.jl's past year of commit activity
    Julia 10 MIT 3 2 3 Updated Sep 16, 2026
  • FiniteVolumeMethod.jl Public

    Solver for two-dimensional conservation equations using the finite volume method in Julia.

    SciML/FiniteVolumeMethod.jl's past year of commit activity
    Julia 52 MIT 8 6 1 Updated Sep 16, 2026
  • NeuralOperators.jl Public

    DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

    SciML/NeuralOperators.jl's past year of commit activity
    Julia 41 MIT 15 38 14 Updated Sep 16, 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 40 MIT 7 8 3 Updated Sep 16, 2026