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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 systemsdeveloped in the Julia programming language with bindings to other languages such as R andPython. The organization provides well-maintained tools which compose together as acoherent ecosystem. It has a coherent development principle, unified APIs over largecollections of equation solvers, pervasive differentiability and sensitivity analysis, andfeatures 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.jlDifferentialEquations.jlPublic

    Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equat…

    Julia 3.1k 246

  2. ModelingToolkit.jlModelingToolkit.jlPublic

    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 1.6k 244

  3. NeuralPDE.jlNeuralPDE.jlPublic

    Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

    Julia 1.2k 235

  4. DiffEqFlux.jlDiffEqFlux.jlPublic

    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 911 158

  5. diffeqpydiffeqpyPublic

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

    Python 590 52

  6. diffeqrdiffeqrPublic

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

    R 147 16

Repositories

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Showing 10 of 201 repositories
  • SciMLBenchmarksOutput Public

    SciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI Performance

    SciML/SciMLBenchmarksOutput’s past year of commit activity
    HTML 26MIT 8 1 1 UpdatedFeb 20, 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 624 246 341(11 issues need help) 44 UpdatedFeb 20, 2026
  • NonlinearSolve.jl Public

    High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

    SciML/NonlinearSolve.jl’s past year of commit activity
    Julia 289MIT 66 42(4 issues need help) 13 UpdatedFeb 20, 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
    MATLAB 338MIT 105 20 68 UpdatedFeb 20, 2026
  • DiffEqBase.jl Public

    The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

    SciML/DiffEqBase.jl’s past year of commit activity
    Julia 353 122 61 14 UpdatedFeb 20, 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 84 10 6 3 UpdatedFeb 20, 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 507 81 105(1 issue needs help) 10 UpdatedFeb 20, 2026
  • BoundaryValueDiffEq.jl Public

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

    SciML/BoundaryValueDiffEq.jl’s past year of commit activity
    Julia 56 42 23 10 UpdatedFeb 20, 2026
  • FindFirstFunctions.jl Public

    Faster `findfirst(==(val), dense_vector)`.

    SciML/FindFirstFunctions.jl’s past year of commit activity
    Julia 11MIT 4 5 0 UpdatedFeb 20, 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 18 11 2 UpdatedFeb 20, 2026

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