SciML Open Source Scientific Machine Learning

Open source software for scientific machine learning

Websites:Organization Website |Documentation

SciML Organization Stats:

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?

Want to get started running some code? Check out theGetting Started tutorials.
What is SciML? Check out ourOverview.
Want to see some cool end-to-end examples? Check out theSciML Showcase.
Want to learn more about how SciML does scientific machine learning? Check out theSciML Book (from MIT's 18.337 graduate course).
Curious about our performance claims? Check outthe SciML Open Benchmarks.
Want to chat with someone? Check outour chat room andforums.
Want to see our code? Check outthe SciML Github organization.

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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 3k 243
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 238
NeuralPDE.jlNeuralPDE.jlPublic
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
Julia 1.1k 227
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 906 160
diffeqpydiffeqpyPublic
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
Python 584 50
diffeqrdiffeqrPublic
Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem
R 147 16

Repositories

Showing 10 of 199 repositories

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 284MIT 61 42 (4 issues need help) 17 UpdatedDec 19, 2025
SciMLSensitivity.jl Public
A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
SciML/SciMLSensitivity.jl’s past year of commit activity
Julia 372 78 114 13 UpdatedDec 18, 2025
SciMLStructures.jl Public
A structure interface for SciML to give queryable properties from user data and parameters
SciML/SciMLStructures.jl’s past year of commit activity
Julia 9MIT 7 0 0 UpdatedDec 18, 2025
BaseModelica.jl Public
Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem
SciML/BaseModelica.jl’s past year of commit activity
Python 8MIT 4 8 1 UpdatedDec 18, 2025
ReservoirComputing.jl Public
Reservoir computing utilities for scientific machine learning (SciML)
SciML/ReservoirComputing.jl’s past year of commit activity
Julia 221MIT 41 31 (4 issues need help) 2 UpdatedDec 18, 2025
ParameterizedFunctions.jl Public
A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
SciML/ParameterizedFunctions.jl’s past year of commit activity
Julia 78 15 1 1 UpdatedDec 18, 2025
StructuralIdentifiability.jl Public
Fast and automatic structural identifiability software for ODE systems
SciML/StructuralIdentifiability.jl’s past year of commit activity
Julia 127MIT 20 9 (1 issue needs help) 8 UpdatedDec 18, 2025
SciMLBase.jl Public
The Base interface of the SciML ecosystem
SciML/SciMLBase.jl’s past year of commit activity
Julia 168MIT 114 68 (2 issues need help) 29 UpdatedDec 18, 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.
SciML/LinearSolve.jl’s past year of commit activity
Julia 274 76 71 (9 issues need help) 10 UpdatedDec 18, 2025
RecursiveArrayTools.jl Public
Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications
SciML/RecursiveArrayTools.jl’s past year of commit activity
Julia 224 70 32 9 UpdatedDec 18, 2025