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SciML Open Source Scientific Machine Learning

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199 repositories

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 Dec 25, 2025Dec 25, 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
•96•810•101•16•Updated Dec 25, 2025Dec 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•54•27•11•Updated Dec 24, 2025Dec 24, 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
•45•156•41•22•Updated Dec 24, 2025Dec 24, 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
•62•67•7•1•Updated Dec 24, 2025Dec 24, 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•221•32•3•Updated Dec 23, 2025Dec 23, 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
•80•504•104•36•Updated Dec 23, 2025Dec 23, 2025
CurveFit.jl
Public
Least squares and curve fitting in Julia with speed and robustness
Julia
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Other
•21•89•6•3•Updated Dec 23, 2025Dec 23, 2025
SurrogatesBase.jl
Public
Basically just a surrogate in disguise
Julia
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MIT License
•4•5•0•0•Updated Dec 23, 2025Dec 23, 2025
MultiScaleArrays.jl
Public
A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
julia models automatic-differentiation ode dde differential-equations differentialequations sde dae multiscale
Julia
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Other
•17•77•4•3•Updated Dec 23, 2025Dec 23, 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
•238•1.6k•434•102•Updated Dec 23, 2025Dec 23, 2025
RecursiveArrayTools.jl
Public
Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications
vector array recursion scientific-machine-learning sciml
Julia
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Other
•70•224•34•8•Updated Dec 22, 2025Dec 22, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•58•264•41•11•Updated Dec 22, 2025Dec 22, 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
•61•284•42•16•Updated Dec 22, 2025Dec 22, 2025
StochasticDiffEq.jl
Public
Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
random stochastic noise differential-equations adaptive differentialequations sde stochastic-differential-equations sode ito
Julia
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Other
•76•306•91•12•Updated Dec 22, 2025Dec 22, 2025
NeuralPDE.jl
Public
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
machine-learning neural-network ode neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations pde pinn
Julia
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Other
•227•1.1k•110•23•Updated Dec 22, 2025Dec 22, 2025
SteadyStateDiffEq.jl
Public
Solvers for steady states in scientific machine learning (SciML)
ode dde differential-equations sde dae steady-state scientific-machine-learning sciml
Julia
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Other
•23•30•5•1•Updated Dec 22, 2025Dec 22, 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•68•29•Updated Dec 22, 2025Dec 22, 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•274•70•10•Updated Dec 22, 2025Dec 22, 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•118•16•0•Updated Dec 21, 2025Dec 21, 2025
DataInterpolationsND.jl
Public
Interpolation of arbitrarily high dimensional array data
interpolation sciml
Julia
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MIT License
•6•27•23•2•Updated Dec 21, 2025Dec 21, 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•10•2•Updated Dec 20, 2025Dec 20, 2025
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
Julia
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MIT License
•15•108•14•0•Updated Dec 20, 2025Dec 20, 2025
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 Dec 20, 2025Dec 20, 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 Dec 20, 2025Dec 20, 2025
GlobalSensitivity.jl
Public
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
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•62•26•4•Updated Dec 20, 2025Dec 20, 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
•239•617•335•46•Updated Dec 20, 2025Dec 20, 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
•78•373•114•12•Updated Dec 20, 2025Dec 20, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•4•11•3•0•Updated Dec 19, 2025Dec 19, 2025
DiffEqGPU.jl
Public
GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
gpu ode dde differential-equations differentialequations sde dae neural-ode scientific-machine-learning neural-differential-equations
Julia
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MIT License
•38•310•28•4•Updated Dec 19, 2025Dec 19, 2025