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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 275

  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 928 163

  5. diffeqpy diffeqpy Public

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

    Python 617 54

  6. diffeqr diffeqr Public

    Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem

    R 149 16

Repositories

Showing 10 of 229 repositories
  • DiffEqDocs.jl Public

    Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

    SciML/DiffEqDocs.jl's past year of commit activity
    Julia 331 255 19 6 Updated Nov 15, 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 537 86 102 (1 issue needs help) 11 Updated Nov 15, 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 0 Updated Nov 15, 2026
  • SciMLOperators.jl Public

    SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

    SciML/SciMLOperators.jl's past year of commit activity
    Julia 56 MIT 21 27 4 Updated Nov 15, 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
    Julia 349 MIT 114 15 24 Updated Nov 15, 2026
  • RespecializeParams.jl Public

    Type-stable opaque parameter containers for SciML solvers: keep typeof(p) uniform across underlying payload types, recover the concrete type inside f without allocation.

    SciML/RespecializeParams.jl's past year of commit activity
    Julia 2 MIT 3 0 0 Updated Nov 15, 2026
  • LightweightStats.jl Public

    Lightweight Julia package for basic statistical functions with minimal dependencies

    SciML/LightweightStats.jl's past year of commit activity
    Julia 4 MIT 3 0 0 Updated Nov 15, 2026
  • PureKLU.jl Public

    Pure-Julia direct port of SuiteSparse KLU sparse LU solver. Bit-for-bit compatible with KLU.jl, no SuiteSparse_jll dependency.

    SciML/PureKLU.jl's past year of commit activity
    Julia 3 7 1 2 Updated Nov 15, 2026
  • SciMLDocs Public

    Global documentation for the Julia SciML Scientific Machine Learning Organization

    SciML/SciMLDocs's past year of commit activity
    Julia 99 MIT 54 8 3 Updated Nov 15, 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 26 (1 issue needs help) 6 Updated Nov 15, 2026