SciML Open Source Scientific Machine Learning

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183 repositories

ModelingToolkitNeuralNets.jl
Public
Symbolic-Numeric 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
•2•27•5•1•Updated Feb 26, 2025Feb 26, 2025
StructuralIdentifiability.jl
Public
Fast and automatic structural identifiability software for ODE systems
parameter-estimation differentialequations structural-identifiability julia
Julia
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MIT License
•18•113•9•7•Updated Feb 26, 2025Feb 26, 2025
NeuralLyapunov.jl
Public
A library for searching for neural Lyapunov functions in Julia.
Julia
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Other
•1•3•2•1•Updated Feb 25, 2025Feb 25, 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 distributed-computing factorization amg multigrid krylov-methods linear-solvers preconditioners sciml newton-krylov
Julia
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Other
•59•252•67•12•Updated Feb 25, 2025Feb 25, 2025
DiffEqDevTools.jl
Public
Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)
ode developer-tools dde sde dae scientific-machine-learning sciml differential-equations
Julia
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Other
•35•48•3•2•Updated Feb 25, 2025Feb 25, 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 symbolic dde ordinary-differential-equations sde pde dae stochastic-differential-equations delay-differential-equations
Julia
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Other
•212•1.5k•341•76•Updated Feb 25, 2025Feb 25, 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
•105•144•58•33•Updated Feb 25, 2025Feb 25, 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
•60•218•28•1•Updated Feb 25, 2025Feb 25, 2025
SurrogatesBase.jl
Public
Basically just a surrogate in disguise
Julia
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MIT License
•3•4•0•0•Updated Feb 25, 2025Feb 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
•36•46•25•5•Updated Feb 24, 2025Feb 24, 2025
ReservoirComputing.jl
Public
Reservoir computing utilities for scientific machine learning (SciML)
rnn differential-equations echo-state-networks reservoir-computing scientific-machine-learning sciml machine-learning julia
Julia
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MIT License
•39•211•25•7•Updated Feb 24, 2025Feb 24, 2025
NeuralOperators.jl
Public
DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
Julia
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MIT License
•6•16•6•4•Updated Feb 24, 2025Feb 24, 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)
parameter-estimation quasi-monte-carlo physics-informed-learning julia scientific-machine-learning sciml
Julia
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MIT License
•26•106•16•0•Updated Feb 23, 2025Feb 23, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•47•241•22•6•Updated Feb 23, 2025Feb 23, 2025
ReactionNetworkImporters.jl
Public
Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
biology chemical-kinetics differential-equations chemical-reactions gillespie-algorithm julia
Julia
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MIT License
•9•26•8•0•Updated Feb 23, 2025Feb 23, 2025
DiffEqFlux.jl
Public
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
neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations stochastic-differential-equations delay-differential-equations pinn neural-ode scientific-machine-learning
Julia
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MIT License
•156•883•38•3•Updated Feb 23, 2025Feb 23, 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 ordinary-differential-equations adaptive differentialequations event-handling hacktoberfest julia ode differential-equations scientific-machine-learning
Julia
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Other
•220•577•310•44•Updated Feb 22, 2025Feb 22, 2025
DiffEqGPU.jl
Public
GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
dde differentialequations sde dae neural-ode neural-differential-equations gpu-parallelism gpu ode differential-equations
Julia
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MIT License
•32•291•29•4•Updated Feb 22, 2025Feb 22, 2025
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
Julia
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MIT License
•14•102•14•0•Updated Feb 22, 2025Feb 22, 2025
PoissonRandom.jl
Public
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
high-performance-computing poisson poisson-distribution poisson-processes scientific-machine-learning sciml tau-leaping julia
Julia
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Other
•6•16•1•0•Updated Feb 22, 2025Feb 22, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
arrays julia julia-language julialang
Julia
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Other
•14•94•2•0•Updated Feb 22, 2025Feb 22, 2025
GlobalSensitivity.jl
Public
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
ode morris-method ordinary-differential-equations sensitivity-analysis global-sensitivity-analysis gsa sobol-method efast julia julia-language
Julia
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MIT License
•21•53•25•1•Updated Feb 22, 2025Feb 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
•210•1k•108•19•Updated Feb 22, 2025Feb 22, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•3•9•3•0•Updated Feb 21, 2025Feb 21, 2025
CellMLToolkit.jl
Public
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
systems-biology physiology cellml julia ode differential-equations scientific-machine-learning sciml
Julia
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Other
•16•62•9•2•Updated Feb 21, 2025Feb 21, 2025
SymbolicIndexingInterface.jl
Public
A general interface for symbolic indexing of SciML objects used in conjunction with Domain-Specific Languages
dsl indexing symbolic domain-specific-language symbolic-computation scientific-machine-learning sciml high-level-interfaces acausal-modeling
Julia
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MIT License
•9•15•10•11•Updated Feb 21, 2025Feb 21, 2025
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 differentiable-programming
Julia
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Other
•15•118•3•0•Updated Feb 21, 2025Feb 21, 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
•5•8•0•0•Updated Feb 20, 2025Feb 20, 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
•3•7•4•0•Updated Feb 20, 2025Feb 20, 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 jacobian differential-equations scientific-machine-learning sciml
Julia
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Other
•18•76•1•1•Updated Feb 20, 2025Feb 20, 2025