SciML Open Source Scientific Machine Learning

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203 repositories

Optimization.jl
Public
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in o…
optimization julia automatic-differentiation
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
•97•817•109•8•Updated Mar 15, 2026Mar 15, 2026
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
julia
Julia
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MIT License
•16•110•15•1•Updated Mar 14, 2026Mar 14, 2026
PoissonRandom.jl
Public
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
julia high-performance-computing poisson
julia high-performance-computing poisson poisson-distribution poisson-processes scientific-machine-learning sciml tau-leaping
Julia
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Other
•6•20•1•0•Updated Mar 14, 2026Mar 14, 2026
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
julia julia-language arrays
julia julia-language arrays julialang
Julia
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Other
•14•98•3•0•Updated Mar 14, 2026Mar 14, 2026
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 so…
simulation biology dsl
simulation biology dsl julia systems-biology ode reaction-network differential-equations sde chemical-reactions
Julia
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Other
•81•510•91•17•Updated Mar 14, 2026Mar 14, 2026
SciMLBenchmarks.jl
Public
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
python benchmark ai
python benchmark ai julia matlab pytorch ode partial-differential-equations differential-equations differentialequations
MATLAB
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MIT License
•106•341•18•66•Updated Mar 14, 2026Mar 14, 2026
GlobalSensitivity.jl
Public
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
julia julia-language ode
julia julia-language ode morris-method differential-equations ordinary-differential-equations sensitivity-analysis global-sensitivity-analysis julialang gsa
Julia
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MIT License
•22•63•27•2•Updated Mar 14, 2026Mar 14, 2026
Corleone.jl
Public
Optimal Control meets Scientific Machine Learning
optimal-control optimal-experimental-design sciml
optimal-control optimal-experimental-design sciml
Julia
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MIT License
•2•11•3•6•Updated Mar 14, 2026Mar 14, 2026
NeuralLyapunov.jl
Public
A library for searching for neural Lyapunov functions in Julia.
Julia
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Other
•3•4•3•3•Updated Mar 14, 2026Mar 14, 2026
SciMLBenchmarksOutput
Public
SciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI Performance
python performance r
python performance r neural-network gpu julia matlab pytorch benchmarks differential-equations
HTML
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MIT License
•8•26•1•0•Updated Mar 14, 2026Mar 14, 2026
SymbolicLimits.jl
Public
Julia
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MIT License
•5•6•0•2•Updated Mar 13, 2026Mar 13, 2026
SciMLSensitivity.jl
Public
A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimiz…
ode dde differential-equations
ode dde differential-equations differentialequations sde dae sensitivity-analysis hacktoberfest adjoint backpropogation
Julia
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Other
•84•381•117•7•Updated Mar 13, 2026Mar 13, 2026
StochasticDiffEq.jl
Public
Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
random stochastic noise
random stochastic noise differential-equations adaptive differentialequations sde stochastic-differential-equations sode ito
Julia
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Other
•79•317•94•8•Updated Mar 13, 2026Mar 13, 2026
OrdinaryDiffEq.jl
Public
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neura…
high-performance julia ode
high-performance julia ode differential-equations ordinary-differential-equations adaptive differentialequations event-handling hacktoberfest scientific-machine-learning
Julia
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Other
•248•626•331•52•Updated Mar 13, 2026Mar 13, 2026
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•4•11•5•0•Updated Mar 13, 2026Mar 13, 2026
sciml.ai
Public
The SciML Scientific Machine Learning Software Organization Website
machine-learning julia julia-language
machine-learning julia julia-language ode dde differential-equations sde dae julialang franklin
CSS
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MIT License
•64•74•7•1•Updated Mar 13, 2026Mar 13, 2026
CellMLToolkit.jl
Public
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
julia systems-biology ode
julia systems-biology ode differential-equations physiology cellml scientific-machine-learning sciml
Julia
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Other
•18•68•11•2•Updated Mar 13, 2026Mar 13, 2026
ModelingToolkit.jl
Public
An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics fo…
computer-algebra optimization julia
computer-algebra optimization julia ode symbolic dde differential-equations ordinary-differential-equations sde pde
Julia
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Other
•244•1.6k•477•97•Updated Mar 13, 2026Mar 13, 2026
PreallocationTools.jl
Public
Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes
automatic-differentiation garbage-collection high-performance-computing
automatic-differentiation garbage-collection high-performance-computing differentiable-programming
Julia
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Other
•21•126•3•1•Updated Mar 13, 2026Mar 13, 2026
FiniteVolumeMethod1D.jl
Public
Implementation of the finite volume method in 1D.
partial-differential-equations differential-equations one-dimensional
partial-differential-equations differential-equations one-dimensional
Julia
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MIT License
•2•6•1•1•Updated Mar 12, 2026Mar 12, 2026
BaseModelica.jl
Public
Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem
julia ode modelica
julia ode modelica differential-equations dae sciml symbolic-numeric-computing
Python
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MIT License
•4•8•18•1•Updated Mar 12, 2026Mar 12, 2026
SciMLStructures.jl
Public
A structure interface for SciML to give queryable properties from user data and parameters
api interfaces
api interfaces
Julia
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MIT License
•7•9•1•0•Updated Mar 12, 2026Mar 12, 2026
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
•5•5•8•4•Updated Mar 12, 2026Mar 12, 2026
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
parameters differential-equations jacobian scientific-machine-learning sciml
Julia
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Other
•15•78•1•0•Updated Mar 12, 2026Mar 12, 2026
CatalystNetworkAnalysis.jl
Public
Network analysis algorithms for reaction networks modeled using Catalyst.jl
Julia
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MIT License
•2•6•2•3•Updated Mar 12, 2026Mar 12, 2026
SparseMatrixIdentification.jl
Public
Julia
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MIT License
•1•4•0•0•Updated Mar 12, 2026Mar 12, 2026
SciMLLogging.jl
Public
A logging system for SciML
Julia
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MIT License
•5•9•3•0•Updated Mar 12, 2026Mar 12, 2026
ModelingToolkitNeuralNets.jl
Public
Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)
machine-learning julia neural-networks
machine-learning julia neural-networks ude neural-ode sciml symbolic-numerics
Julia
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MIT License
•6•40•9•0•Updated Mar 12, 2026Mar 12, 2026
MaybeInplace.jl
Public
Rewrite Inplace Operations to be OOP if needed
Julia
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MIT License
•3•8•2•3•Updated Mar 12, 2026Mar 12, 2026
CommonSolve.jl
Public
A common solve function for scientific machine learning (SciML) and beyond
interface scientific-machine-learning sciml
interface scientific-machine-learning sciml composibility
Julia
•8•30•0•0•Updated Mar 12, 2026Mar 12, 2026