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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 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 3k 242

  2. 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 1.5k 228

  3. NeuralPDE.jl Public

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

    Julia 1.1k 221

  4. 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 892 161

  5. diffeqpy Public

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

    Python 570 44

  6. diffeqr Public

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

    R 144 15

Repositories

Showing 10 of 191 repositories
  • StructuralIdentifiability.jl Public

    Fast and automatic structural identifiability software for ODE systems

    Julia 122 MIT 19 12 7 Updated Jul 13, 2025
  • LinearSolve.jl Public

    LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

    Julia 261 61 70 (9 issues need help) 8 Updated Jul 12, 2025
  • SciMLBenchmarksOutput Public

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

    HTML 23 MIT 6 0 1 Updated Jul 12, 2025
  • RuntimeGeneratedFunctions.jl Public

    Functions generated at runtime without world-age issues or overhead

    Julia 106 MIT 16 14 (1 issue needs help) 0 Updated Jul 12, 2025
  • SciMLBenchmarks.jl Public

    Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

    MATLAB 328 MIT 97 21 42 Updated Jul 12, 2025
  • PoissonRandom.jl Public

    Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)

    Julia 18 6 2 0 Updated Jul 12, 2025
  • EllipsisNotation.jl Public

    Julia-based implementation of ellipsis array indexing notation `..`

    Julia 96 14 2 0 Updated Jul 12, 2025
  • SciMLBook Public

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

    HTML 1,920 353 11 2 Updated Jul 12, 2025
  • DataInterpolations.jl Public

    A library of data interpolation and smoothing functions

    Julia 250 MIT 52 32 (2 issues need help) 5 Updated Jul 12, 2025
  • Optimization.jl Public

    Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

    Julia 785 MIT 98 82 (4 issues need help) 19 Updated Jul 11, 2025