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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 3k 244

  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 1.6k 233

  3. NeuralPDE.jl NeuralPDE.jl Public

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

    Julia 1.1k 225

  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 900 163

  5. diffeqpy diffeqpy Public

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

    Python 582 48

  6. diffeqr diffeqr Public

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

    R 147 16

Repositories

Showing 10 of 198 repositories
  • 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.

    SciML/LinearSolve.jl’s past year of commit activity
    Julia 271 75 70 (9 issues need help) 13 Updated Oct 22, 2025
  • NeuralLyapunov.jl Public

    A library for searching for neural Lyapunov functions in Julia.

    SciML/NeuralLyapunov.jl’s past year of commit activity
    Julia 4 2 2 7 Updated Oct 22, 2025
  • Scientific_Modeling_Cheatsheet Public

    Scientific Modeling Cheatsheet MATLAB – Python – Julia Quick Reference: MATLAB – Python – Julia Quick Reference

    SciML/Scientific_Modeling_Cheatsheet’s past year of commit activity
    HTML 13 MIT 1 3 0 Updated Oct 22, 2025
  • BoundaryValueDiffEq.jl Public

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

    SciML/BoundaryValueDiffEq.jl’s past year of commit activity
    Julia 51 40 27 10 Updated Oct 22, 2025
  • SciMLExpectations.jl Public

    Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

    SciML/SciMLExpectations.jl’s past year of commit activity
    Julia 69 20 29 6 Updated Oct 22, 2025
  • OrdinaryDiffEqOperatorSplitting.jl Public

    Toolbox to handle and solve split formulations of a wide variety of ODE and DAE problems.

    SciML/OrdinaryDiffEqOperatorSplitting.jl’s past year of commit activity
    Julia 5 MIT 3 6 3 Updated Oct 22, 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.

    SciML/Optimization.jl’s past year of commit activity
    Julia 803 MIT 100 99 8 Updated Oct 22, 2025
  • 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 280 MIT 56 40 (4 issues need help) 14 Updated Oct 22, 2025
  • 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 25 MIT 7 0 1 Updated Oct 22, 2025
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl’s past year of commit activity
    Julia 167 MIT 114 67 (2 issues need help) 35 Updated Oct 22, 2025

Sponsors

  • @acwebber01
  • @EduardoMartinezLopez
  • @aefarrell
  • @pthariensflame
  • @jqfeld
  • @visr
  • @LacraCorcodel
  • @owiecc

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