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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 251

  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 929 162

  5. diffeqpy diffeqpy Public

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

    Python 612 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
  • 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 2 13 4 Updated Oct 2, 2026
  • CellMLToolkit.jl Public

    CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

    SciML/CellMLToolkit.jl's past year of commit activity
    Julia 68 19 11 1 Updated Oct 2, 2026
  • ExponentialUtilities.jl Public

    Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

    SciML/ExponentialUtilities.jl's past year of commit activity
    Julia 109 37 27 (1 issue needs help) 6 Updated Oct 2, 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 Oct 2, 2026
  • SciML/CacheAwareConv.jl's past year of commit activity
    Julia 1 1 0 0 Updated Oct 2, 2026
  • SimpleNorm.jl Public

    Implementation of a norm function without LinearAlgebra.jl / BLAS / LAPACK

    SciML/SimpleNorm.jl's past year of commit activity
    Julia 2 MIT 1 0 0 Updated Oct 2, 2026
  • PreallocationTools.jl Public

    Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

    SciML/PreallocationTools.jl's past year of commit activity
    Julia 127 22 0 2 Updated Oct 2, 2026
  • ParallelParticleSwarms.jl Public

    GPU accelerated Particle Swarm Optimization

    SciML/ParallelParticleSwarms.jl's past year of commit activity
    Julia 31 MIT 4 10 5 Updated Oct 2, 2026
  • BaseModelica.jl Public

    Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem

    SciML/BaseModelica.jl's past year of commit activity
    Python 10 MIT 7 20 2 Updated Oct 1, 2026
  • SciMLStructures.jl Public

    A structure interface for SciML to give queryable properties from user data and parameters

    SciML/SciMLStructures.jl's past year of commit activity
    Julia 9 MIT 8 2 1 Updated Oct 1, 2026