SciML Open Source Scientific Machine Learning

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198 repositories

FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•4•11•3•1•Updated Nov 14, 2025Nov 14, 2025
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)
high-performance julia ode differential-equations ordinary-differential-equations adaptive differentialequations event-handling hacktoberfest scientific-machine-learning
Julia
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Other
•235•611•335•53•Updated Nov 14, 2025Nov 14, 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
computer-algebra optimization julia ode symbolic dde differential-equations ordinary-differential-equations sde pde
Julia
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Other
•234•1.6k•431•104•Updated Nov 14, 2025Nov 14, 2025
NonlinearSolve.jl
Public
High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
julia high-performance-computing differential-equations factorization nonlinear-equations sparse-matrix sparse-matrices newton-raphson steady-state bracketing
Julia
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MIT License
•58•280•41•16•Updated Nov 14, 2025Nov 14, 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.
gpu julia linear-algebra distributed-computing differential-equations factorization amg multigrid krylov-methods linear-solvers
Julia
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Other
•75•272•71•12•Updated Nov 14, 2025Nov 14, 2025
DiffEqBase.jl
Public
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
ode dde partial-differential-equations differential-equations ordinary-differential-equations differentialequations sde pde dae stochastic-differential-equations
Julia
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Other
•121•348•54•14•Updated Nov 14, 2025Nov 14, 2025
SciMLBase.jl
Public
The Base interface of the SciML ecosystem
julia ode dde ordinary-differential-equations differentialequations sde dae scientific-machine-learning sciml
Julia
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MIT License
•114•168•67•31•Updated Nov 14, 2025Nov 14, 2025
SciMLOperators.jl
Public
SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia
julia linear-algebra ode differential-equations scientific-machine-learning sciml
Julia
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MIT License
•16•53•27•5•Updated Nov 14, 2025Nov 14, 2025
BaseModelica.jl
Public
Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem
julia ode modelica differential-equations dae sciml symbolic-numeric-computing
Julia
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MIT License
•5•8•8•1•Updated Nov 14, 2025Nov 14, 2025
Catalyst.jl
Public
Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
simulation biology dsl julia systems-biology ode reaction-network differential-equations sde chemical-reactions
Julia
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Other
•83•500•103•39•Updated Nov 14, 2025Nov 14, 2025
SciMLStructures.jl
Public
A structure interface for SciML to give queryable properties from user data and parameters
api interfaces
Julia
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MIT License
•7•9•0•1•Updated Nov 13, 2025Nov 13, 2025
ModelOrderReduction.jl
Public
High-level model-order reduction to automate the acceleration of large-scale simulations
hpc julia partial-differential-equations differential-equations model-order-reduction scientific-machine-learning sciml
Julia
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MIT License
•7•42•19•3•Updated Nov 13, 2025Nov 13, 2025
ProcessSimulator.jl
Public
Julia
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MIT License
•7•36•4•4•Updated Nov 13, 2025Nov 13, 2025
ParameterizedFunctions.jl
Public
A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
parameters differential-equations jacobian scientific-machine-learning sciml
Julia
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Other
•15•78•1•2•Updated Nov 13, 2025Nov 13, 2025
ModelingToolkitNeuralNets.jl
Public
Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)
machine-learning julia neural-networks ude neural-ode sciml symbolic-numerics
Julia
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MIT License
•7•37•6•2•Updated Nov 13, 2025Nov 13, 2025
CommonSolve.jl
Public
A common solve function for scientific machine learning (SciML) and beyond
interface scientific-machine-learning sciml composibility
Julia
•8•26•1•0•Updated Nov 13, 2025Nov 13, 2025
.github
Public
Organization-wide .github actions and other metadata
MIT License
•4•6•2•0•Updated Nov 12, 2025Nov 12, 2025
sciml.ai
Public
The SciML Scientific Machine Learning Software Organization Website
machine-learning julia julia-language ode dde differential-equations sde dae julialang franklin
CSS
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MIT License
•58•65•7•0•Updated Nov 12, 2025Nov 12, 2025
Scientific_Modeling_Cheatsheet
Public
Scientific Modeling Cheatsheet MATLAB – Python – Julia Quick Reference: MATLAB – Python – Julia Quick Reference
HTML
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MIT License
•5•14•2•0•Updated Nov 12, 2025Nov 12, 2025
ReservoirComputing.jl
Public
Reservoir computing utilities for scientific machine learning (SciML)
machine-learning julia rnn differential-equations echo-state-networks reservoir-computing scientific-machine-learning sciml
Julia
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MIT License
•41•218•33•6•Updated Nov 12, 2025Nov 12, 2025
ModelingToolkitStandardLibrary.jl
Public
A standard library of components to model the world and beyond
julia ode scientific-computing modelica differential-equations ordinary-differential-equations sde sciml blockmodels scientific-machine-learrning
Julia
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MIT License
•46•155•40•19•Updated Nov 12, 2025Nov 12, 2025
SurrogatesBase.jl
Public
Basically just a surrogate in disguise
Julia
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MIT License
•4•5•0•1•Updated Nov 11, 2025Nov 11, 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.
ode dde differential-equations differentialequations sde dae sensitivity-analysis hacktoberfest adjoint backpropogation
Julia
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Other
•79•369•114•12•Updated Nov 11, 2025Nov 11, 2025
BoundaryValueDiffEq.jl
Public
Boundary value problem (BVP) solvers for scientific machine learning (SciML)
gpu differential-equations differentialequations bvp neural-ode scientific-machine-learning neural-differential-equations neural-bvp sciml
Julia
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Other
•40•52•26•10•Updated Nov 10, 2025Nov 10, 2025
OrdinaryDiffEqOperatorSplitting.jl
Public
Toolbox to handle and solve split formulations of a wide variety of ODE and DAE problems.
Julia
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MIT License
•3•5•6•1•Updated Nov 10, 2025Nov 10, 2025
QuasiMonteCarlo.jl
Public
Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)
julia parameter-estimation quasi-monte-carlo scientific-machine-learning sciml physics-informed-learning
Julia
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MIT License
•26•117•16•0•Updated Nov 9, 2025Nov 9, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•58•262•41•12•Updated Nov 9, 2025Nov 9, 2025
DataInterpolationsND.jl
Public
Interpolation of arbitrarily high dimensional array data
interpolation sciml
Julia
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MIT License
•6•26•23•2•Updated Nov 9, 2025Nov 9, 2025
SciMLStyle
Public
A style guide for stylish Julia developers
julia style ode scientific-machine-learning sciml
Julia
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MIT License
•19•230•6•1•Updated Nov 8, 2025Nov 8, 2025
SciMLLogging.jl
Public
A logging system for SciML
Julia
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MIT License
•5•8•3•1•Updated Nov 8, 2025Nov 8, 2025