Pinned Repositories
DiffEqFlux.jl
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
diffeqpy
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
diffeqr
Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem
DifferentialEquations.jl
Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
ModelingToolkit.jl
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
NeuralPDE.jl
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
Optimization.jl
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.
OrdinaryDiffEq.jl
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
SciMLBook
Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)
SciMLTutorials.jl
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
SciML Open Source Scientific Machine Learning's Repositories
SciML/ModelingToolkit.jl
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
SciML/NeuralPDE.jl
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
SciML/Optimization.jl
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.
SciML/OrdinaryDiffEq.jl
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
SciML/Catalyst.jl
Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
SciML/DataDrivenDiffEq.jl
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
SciML/SciMLBenchmarks.jl
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
SciML/NonlinearSolve.jl
High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
SciML/DataInterpolations.jl
A library of data interpolation and smoothing functions
SciML/ReservoirComputing.jl
Reservoir computing utilities for scientific machine learning (SciML)
SciML/MethodOfLines.jl
Automatic Finite Difference PDE solving with Julia SciML
SciML/ModelingToolkitStandardLibrary.jl
A standard library of components to model the world and beyond
SciML/StructuralIdentifiability.jl
Fast and automatic structural identifiability software for ODE systems
SciML/EllipsisNotation.jl
Julia-based implementation of ellipsis array indexing notation `..`
SciML/SciMLDocs
Global documentation for the Julia SciML Scientific Machine Learning Organization
SciML/ParameterizedFunctions.jl
A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
SciML/CellMLToolkit.jl
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
SciML/DelayDiffEq.jl
Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.
SciML/GlobalSensitivity.jl
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
SciML/SciMLOperators.jl
SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia
SciML/ModelingToolkitNeuralNets.jl
Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)
SciML/SteadyStateDiffEq.jl
Solvers for steady states in scientific machine learning (SciML)
SciML/ReactionNetworkImporters.jl
Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
SciML/CommonSolve.jl
A common solve function for scientific machine learning (SciML) and beyond
SciML/PoissonRandom.jl
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
SciML/FindFirstFunctions.jl
Faster `findfirst(==(val), dense_vector)`.
SciML/SciMLStructures.jl
A structure interface for SciML to give queryable properties from user data and parameters
SciML/BaseModelica.jl
Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem
SciML/SciMLLogging.jl
A logging system for SciML
SciML/NeuralLyapunov.jl
A library for searching for neural Lyapunov functions in Julia.