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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 241

  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 230

  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 893 161

  5. diffeqpy Public

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

    Python 573 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 192 repositories
  • 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)

    Julia 601 231 328 (11 issues need help) 53 Updated Jul 31, 2025
  • NonlinearSolve.jl Public

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

    Julia 270 MIT 49 36 (4 issues need help) 11 Updated Jul 31, 2025
  • StructuralIdentifiability.jl Public

    Fast and automatic structural identifiability software for ODE systems

    Julia 123 MIT 20 9 7 Updated Jul 31, 2025
  • NeuralOperators.jl Public

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

    Julia 24 MIT 11 4 2 Updated Jul 31, 2025
  • DASKR.jl Public

    Interface to DASKR, a differential algebraic system solver for the SciML scientific machine learning ecosystem

    Julia 11 13 3 (1 issue needs help) 1 Updated Jul 30, 2025
  • Sundials.jl Public

    Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

    Julia 210 BSD-2-Clause 78 37 (1 issue needs help) 6 Updated Jul 30, 2025
  • ODEInterfaceDiffEq.jl Public

    Adds the common API onto ODEInterface classic Fortran methods for the SciML Scientific Machine Learning organization

    Julia 8 15 3 1 Updated Jul 30, 2025
  • 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 and automated transformations of differential equations

    Julia 1,536 230 398 (3 issues need help) 91 Updated Jul 31, 2025
  • DiffEqBayes.jl Public

    Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

    Julia 124 28 14 4 Updated Jul 30, 2025
  • DiffEqGPU.jl Public

    GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem

    Julia 307 MIT 35 28 (1 issue needs help) 5 Updated Jul 31, 2025