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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 255

  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 270

  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 250

  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 926 162

  5. diffeqpy diffeqpy Public

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

    Python 611 54

  6. diffeqr diffeqr Public

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

    R 148 16

Repositories

Showing 10 of 228 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)

    SciML/OrdinaryDiffEq.jl's past year of commit activity
    Julia 684 276 387 (11 issues need help) 63 Updated Sep 20, 2026
  • SciML/FastAlmostBandedMatrices.jl's past year of commit activity
    Julia 9 MIT 4 3 2 Updated Sep 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 309 MIT 77 58 (4 issues need help) 28 Updated Sep 19, 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 3 1 1 Updated Sep 19, 2026
  • SymbolicAnalysis.jl Public

    Symbolics-based function property propagation for optimization

    SciML/SymbolicAnalysis.jl's past year of commit activity
    Julia 20 MIT 5 7 3 Updated Sep 19, 2026
  • 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 27 MIT 10 0 0 Updated Sep 19, 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 107 35 28 (1 issue needs help) 3 Updated Sep 20, 2026
  • 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 839 MIT 100 117 10 Updated Sep 19, 2026
  • 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 293 93 12 3 Updated Sep 19, 2026
  • FindFirstFunctions.jl Public

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

    SciML/FindFirstFunctions.jl's past year of commit activity
    Julia 11 MIT 7 1 2 Updated Sep 19, 2026