SciML Open Source Scientific Machine Learning

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199 repositories

PoissonRandom.jl
Public
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
julia high-performance-computing poisson poisson-distribution poisson-processes scientific-machine-learning sciml tau-leaping
Julia
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Other
•6•19•1•0•Updated Nov 29, 2025Nov 29, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
julia julia-language arrays julialang
Julia
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Other
•14•97•2•0•Updated Nov 29, 2025Nov 29, 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•220•30•5•Updated Nov 29, 2025Nov 29, 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
•81•503•104•35•Updated Nov 29, 2025Nov 29, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•58•264•41•12•Updated Nov 29, 2025Nov 29, 2025
NeuralOperators.jl
Public
DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
Julia
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MIT License
•12•28•5•4•Updated Nov 29, 2025Nov 29, 2025
DataDrivenDiffEq.jl
Public
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
julia ode differential-equations scientific-machine-learning sciml
Julia
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MIT License
•60•419•81•7•Updated Nov 28, 2025Nov 28, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•4•11•3•0•Updated Nov 28, 2025Nov 28, 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.
optimization julia automatic-differentiation global-optimization hacktoberfest nonlinear-optimization convex-optimization algorithmic-differentiation mixed-integer-programming scientific-machine-learning
Julia
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MIT License
•98•809•101•10•Updated Nov 28, 2025Nov 28, 2025
CellMLToolkit.jl
Public
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
julia systems-biology ode differential-equations physiology cellml scientific-machine-learning sciml
Julia
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Other
•17•69•9•1•Updated Nov 28, 2025Nov 28, 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•41•19•Updated Nov 28, 2025Nov 28, 2025
BaseModelica.jl
Public
Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem
julia ode modelica differential-equations dae sciml symbolic-numeric-computing
Python
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MIT License
•5•8•8•0•Updated Nov 27, 2025Nov 27, 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•0•Updated Nov 27, 2025Nov 27, 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•1•Updated Nov 27, 2025Nov 27, 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
•59•282•41•17•Updated Nov 27, 2025Nov 27, 2025
ADTypes.jl
Public
Repository for automatic differentiation backend types
julia automatic-differentiation autodiff
Julia
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MIT License
•15•59•9•5•Updated Nov 27, 2025Nov 27, 2025
SciMLLogging.jl
Public
A logging system for SciML
Julia
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MIT License
•5•8•3•1•Updated Nov 27, 2025Nov 27, 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
•238•614•338•53•Updated Nov 27, 2025Nov 27, 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•7•1•Updated Nov 27, 2025Nov 27, 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 27, 2025Nov 27, 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
•77•273•76•12•Updated Nov 26, 2025Nov 26, 2025
CasADi.jl
Public
Julia interface to CasADi via PythonCall
Julia
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MIT License
•13•3•0•0•Updated Nov 26, 2025Nov 26, 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
•235•1.6k•435•104•Updated Nov 26, 2025Nov 26, 2025
SciMLDocs
Public
Global documentation for the Julia SciML Scientific Machine Learning Organization
documentation julia scientific-machine-learning sciml
Julia
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MIT License
•51•87•7•2•Updated Nov 25, 2025Nov 25, 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
•80•370•114•12•Updated Nov 25, 2025Nov 25, 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 25, 2025Nov 25, 2025
FastPower.jl
Public
A faster approximation to floating point power, at the trade-off of some accuracy
Julia
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MIT License
•3•11•0•0•Updated Nov 25, 2025Nov 25, 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•4•Updated Nov 25, 2025Nov 25, 2025
SymbolicNumericIntegration.jl
Public
SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
integration julia julia-language symbolic-regression scientific-machine-learning
Julia
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MIT License
•12•130•4•2•Updated Nov 25, 2025Nov 25, 2025
FEniCS.jl
Public
A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language
julia partial-differential-equations differential-equations differentialequations pde fenics scientific-machine-learning sciml
Julia
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Other
•25•106•8•1•Updated Nov 25, 2025Nov 25, 2025